JP3278547B2 - Color matching calculation method and device - Google Patents
Color matching calculation method and deviceInfo
- Publication number
- JP3278547B2 JP3278547B2 JP12003295A JP12003295A JP3278547B2 JP 3278547 B2 JP3278547 B2 JP 3278547B2 JP 12003295 A JP12003295 A JP 12003295A JP 12003295 A JP12003295 A JP 12003295A JP 3278547 B2 JP3278547 B2 JP 3278547B2
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- color
- prescription
- value
- reflectance
- absorption coefficient
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Description
【0001】[0001]
【産業上の利用分野】本発明は、複数の色材を混ぜ合わ
せて下地が透けて見える膜厚を含む任意の膜厚で下地を
覆ったときに所定の色見本と同じ色に見える色材の処方
を決定する色合わせ方法及び装置、特に、複数の単色ベ
ースを混ぜ合わせて調整したファンデーションを肌の色
素異常部位に塗布したときに正常部位と同じに見える単
色ベースの処方を決定するに適した色合わせ方法と装置
に関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a color material that looks the same color as a predetermined color sample when a plurality of color materials are mixed and the base material is covered with an arbitrary film thickness including a film thickness that can be seen through. A color matching method and apparatus for determining a prescription of a color, particularly suitable for determining a prescription of a single color base that looks the same as a normal part when a foundation adjusted by mixing a plurality of single color bases is applied to an abnormal pigmented part of skin. A color matching method and apparatus.
【0002】[0002]
【従来の技術】太田母斑や血管腫などの色素異常部位の
肌色を、ファンデーションを塗布することによって、正
常部位の肌色に補正する方法が提案されている(加齢と
皮膚、清至書院(1986)、p.533)。この場
合、色素異常部位に、正常部位と同じ色のファンデーシ
ョンを塗布し、完全に隠蔽することで正常部位と同じ肌
色に補正する方法(塩沢順二、西方和博、中村直生、粧
技誌、27(3)p.326−337(1993))
と、色素異常部位の肌の分光反射特性とその上に塗布さ
れる透明ないしは半透明のファンデーション塗膜の光学
特性をうまく組み合わせ、薄付きの状態で正常な肌色に
見えるように仕上げる方法が考えられる。後者の方法
は、透明感のある自然な仕上がりとなることが期待され
るが、個々の色素異常部位の肌色の数に対応するファン
デーションの色数を用意するとすれば、それは現実的に
は、対応が困難である。また仮に、いろいろな色のファ
ンデーションが用意できたとしても、色素異常部位に塗
布したファンデーションの半透明状態の塗布色を直感的
に予測し、最適なファンデーションの色を選択すること
は難しい。2. Description of the Related Art There has been proposed a method of correcting the skin color of a pigmented area such as a nevus of Ota or a hemangioma to the skin color of a normal area by applying a foundation (Aging and Skin, Seishin Shoin ( 1986), p. 533). In this case, a method of applying a foundation of the same color as the normal part to the pigmented abnormal part and correcting it to the same skin color as the normal part by completely obscuring it (Junji Shiozawa, Kazuhiro Nishikata, Naoki Nakamura, Cosmetic Magazine, 27 (3) p. 326-337 (1993))
A possible method is to combine the spectral reflection characteristics of the skin at the abnormal pigment site with the optical characteristics of the transparent or translucent foundation coating applied on it to make the skin look normal with a thin layer. . The latter method is expected to have a natural finish with a sense of transparency.However, if the number of foundation colors corresponding to the number of skin colors of individual pigment abnormalities is prepared, it is practically Is difficult. Even if foundations of various colors can be prepared, it is difficult to intuitively predict the translucent application color of the foundation applied to the abnormal dye portion and to select an optimal foundation color.
【0003】そこで、事前に用意した少数の単色ベース
を個々の色素異常部位に応じて混ぜ合わせて肌色補正用
ファンデーションをつくり、それを塗布して肌色補正を
行うことが考えられる。その場合には、個々の色素異常
部位の肌色補正に適したファンデーションの色をつくる
ための単色ベースの混合比を予測する手法の確立が必要
である。Therefore, it is conceivable that a small number of single-color bases prepared in advance are mixed in accordance with individual pigment abnormalities to form a foundation for skin color correction, and the foundation is applied to perform skin color correction. In such a case, it is necessary to establish a method for predicting a mixing ratio based on a single color for creating a foundation color suitable for skin color correction of an individual pigment abnormal part.
【0004】一方、本願発明者は、クリーム状のファン
デーションを素肌に塗布した時の化粧肌色を、いちいち
ファンデーションを塗布して測色することなく計算によ
って予測できることを報告している(特公平1−477
26、SCCJ第9回研究討論会講演要旨集、p.27
−32)。これらの報告によれば、特定の条件下でファ
ンデーションの反射率を測定して散乱係数等のパラメー
タを得れば、クベルカ・ムンクの理論を使って裏透けが
生じる程度に薄ぬりした化粧肌の色の予測が可能である
ことが示された。吸収係数及び散乱係数には加成性が成
立するから、この手法を拡張して複数の単色ベースを混
ぜ合わせたファンデーションを色素異常部位に薄ぬりし
たときの色を計算により予測することが可能であること
が予想される。On the other hand, the inventor of the present application has reported that the makeup skin color when a creamy foundation is applied to bare skin can be predicted by calculation without applying a foundation one by one and performing colorimetry (Japanese Patent Publication No. Hei. 477
26, Proceedings of the 9th SCCJ Discussion Meeting, p. 27
-32). According to these reports, if the reflectance of the foundation is measured under specific conditions and parameters such as the scattering coefficient are obtained, the makeup skin that is so thin as to show through using Kuberka-Munk's theory can be used. It was shown that color prediction was possible. Since the absorption coefficient and the scattering coefficient have additive properties, this method can be extended to calculate and predict the color when a foundation containing a mixture of multiple monochromatic bases is thinly applied to the abnormal dye area. It is expected that there is.
【0005】しかしながら、上記で必要とされる手法
は、これとは逆に与えられた色から単色ベースの混合比
を代数的に計算する色合せ計算の手法である。これにつ
いて、Allenは吸収係数と散乱係数という色材の2定数
による3刺激値色合せ計算方法を発表している(E.Alle
n, J.Opt.Soc.Am., 64, p.991-993 (1974)) 。しかしな
がら、 Allenが提案する色合せ計算方法では塗膜が不透
明である場合、すなわち、全波長領域にわたって裏透け
が生じない程度に厚塗りされる場合に限られ、一部又は
全部の可視波長領域において下地の肌が透けて見える薄
付きの状態の化粧肌に適用することができない。[0005] However, the technique required above is a color matching calculation technique for calculating a mixture ratio of a single color base algebraically from a given color. In this regard, Allen has published a method for calculating tristimulus color matching using two constants of color materials, absorption coefficient and scattering coefficient (E. Alle
n, J. Opt. Soc. Am., 64, p. 991-993 (1974)). However, in the color matching calculation method proposed by Allen, when the coating film is opaque, that is, only when the coating is thick enough to prevent see-through over the entire wavelength region, in some or all visible wavelength regions. It cannot be applied to makeup skin in a thin state where the underlying skin can be seen through.
【0006】[0006]
【発明が解決しようとする課題】したがって本発明の目
的は、 Allenが提案する色合せ計算方法を改良して、一
部又は全部の可視波長領域において裏透けが生じる程に
薄付きした状態を含む、又は薄付き状態であるか否かに
かかわらず、任意の膜厚について色合せ計算が可能な方
法と装置を提案することにある。SUMMARY OF THE INVENTION Accordingly, an object of the present invention is to improve the color matching calculation method proposed by Allen to include a state in which the color matching calculation method proposed by Allen is thin enough to show through in some or all of the visible wavelength region. It is an object of the present invention to propose a method and an apparatus capable of performing color matching calculation for an arbitrary film thickness irrespective of whether the film is thin or not.
【0007】[0007]
【課題を解決するための手段】本発明によれば、複数の
色材を混合して下地を所定の膜厚で覆ったときに所定の
色見本と同じ色に見えるような色材の処方を決定する色
合わせ計算方法であって、 a)色見本の吸収係数及び散乱係数を所定の初期値で初
期化し、 b)色見本の吸収係数及び散乱係数の与えられた値のも
とで予測される、該複数の色材の混合物の色彩特性値
が、該色見本の色彩特性値と一致するような色材の処方
を計算し、 c)ステップb)で計算された処方に従って該複数の色
材を混合して前記下地を前記所定の膜厚で覆ったときの
色彩特性値の予測値を計算し、 d)ステップc)で計算された色彩特性値の予測値と前
記色見本の色彩特性値との差が最小になるように、ステ
ップb)で計算された処方を修正し、 e)ステップd)で修正された処方に従って該複数の色
材を混合して前記下地を前記所定の膜厚で覆ったときの
色彩特性値の予測値を計算し、 f)ステップe)で計算された色彩特性値の予測値と前
記色見本の色彩特性値との差が所定の許容値内であると
き終了し、許容値内でないときは、許容値内になるまで
ステップd)で修正された処方における色材の混合物の
吸収係数及び散乱係数で前記色見本の吸収係数及び散乱
係数をそれぞれ置き換えた後、ステップb)〜e)を繰
り返す各ステップを具備する方法が提供される。According to the present invention, there is provided a color material prescription which, when a plurality of color materials are mixed and the base is covered with a predetermined film thickness, looks like the same color as a predetermined color sample. A color matching calculation method for determining: a) initializing the absorption coefficient and the scattering coefficient of the color sample with a predetermined initial value; and b) predicting the absorption coefficient and the scattering coefficient of the color sample under given values. Calculating the prescription of the color material such that the color characteristic value of the mixture of the plurality of color materials matches the color characteristic value of the color sample; and c) calculating the plurality of colors according to the prescription calculated in step b). Calculating a predicted value of the color characteristic value when the material is mixed and covering the base with the predetermined film thickness; d) the predicted value of the color characteristic value calculated in step c) and the color characteristic of the color sample; Modify the formula calculated in step b) so that the difference from the value is minimized; e) d) calculating a predicted value of a color characteristic value when the plurality of color materials are mixed according to the prescription modified in d) and the base is covered with the predetermined film thickness; f) the color calculated in step e) The process ends when the difference between the predicted value of the characteristic value and the color characteristic value of the color sample is within a predetermined allowable value, and when the difference is not within the allowable value, the prescription corrected in step d) is used until the difference is within the allowable value. There is provided a method comprising the steps of repeating steps b) to e) after replacing the absorption coefficient and the scattering coefficient of the color sample with the absorption coefficient and the scattering coefficient of the mixture of coloring materials, respectively.
【0008】本発明によれば、複数の色材を混合して下
地を所定の膜厚で覆ったときに所定の色見本と同じ色に
見えるような色材の処方を決定する色合わせ計算装置で
あって、色見本の吸収係数及び散乱係数を所定の初期値
で初期化する初期化手段と、色見本の吸収係数及び散乱
係数の与えられた値のもとで予測される、該複数の色材
の混合物の色彩特性値が、該色見本の色彩特性値と一致
するような色材の処方を計算する処方計算手段と、該処
方計算手段が計算する処方に従って該複数の色材を混合
して前記下地を前記所定の膜厚で覆ったときの色彩特性
値の予測値を計算する第1の予測値計算手段と、該第1
の予測値計算手段が計算する色彩特性値の予測値と前記
色見本の色彩特性値との差が最小になるように、前記処
方計算手段が計算する処方を修正する処方修正手段と、
該処方修正手段が修正した処方に従って該複数の色材を
混合して前記下地を前記所定の膜厚で覆ったときの色彩
特性値の予測値を計算する第2の予測値計算手段と、該
第2の予測値計算手段が計算する色彩特性値の予測値と
前記色見本の色彩特性値との差が所定の許容値内である
とき終了し、許容値内でないときは、許容値内になるま
で前記処方修正手段が修正した処方における色材の混合
物の吸収係数及び散乱係数で前記色見本の吸収係数及び
散乱係数をそれぞれ置き換えた後、前記処方計算手段、
第1の予測値計算手段、処方修正手段、及び第2の予測
値計算手段を起動する手段を具備する装置もまた提供さ
れる。According to the present invention, there is provided a color matching calculation device for determining a color material prescription which looks like the same color as a predetermined color sample when a plurality of color materials are mixed and the base is covered with a predetermined film thickness. And initialization means for initializing the absorption coefficient and the scattering coefficient of the color sample with a predetermined initial value, and the plurality of the plurality of color samples, which are predicted under given values of the absorption coefficient and the scattering coefficient of the color sample. Prescription calculation means for calculating a prescription of a color material such that the color characteristic value of the mixture of color materials matches the color characteristic value of the color sample; and mixing the plurality of color materials in accordance with the prescription calculated by the prescription calculation means First predictive value calculating means for calculating a predictive value of a color characteristic value when the base is covered with the predetermined film thickness;
Prescription correction means for correcting the prescription calculated by the prescription calculation means, so that the difference between the predicted value of the color characteristic value calculated by the predicted value calculation means and the color characteristic value of the color sample is minimized,
A second prediction value calculation unit configured to calculate a prediction value of a color characteristic value when the plurality of color materials are mixed according to the prescription corrected by the prescription correction unit and the base is covered with the predetermined film thickness; When the difference between the predicted color characteristic value calculated by the second predicted value calculation means and the color characteristic value of the color sample is within a predetermined allowable value, the processing is terminated. After replacing the absorption coefficient and the scattering coefficient of the color sample with the absorption coefficient and the scattering coefficient of the mixture of coloring materials in the recipe corrected by the recipe correction means, respectively, the prescription calculation means,
An apparatus is also provided comprising means for activating a first predictive value calculation means, a prescription correction means, and a second predictive value calculation means.
【0009】[0009]
【作用】例えば Allenの論文(E.Allen, J.Opt.Soc.A
m., 64, p.991-993 (1974))中のラフマッチの処方の計
算式(式(11))を使えば、色見本の吸収係数及び散
乱係数に適当な初期値を与えることによってラフマッチ
の処方を代数的に計算することができる。次にクローズ
マッチの式(式(16))を使ってクローズマッチにお
ける処方の修正値を得るにあたり、 Allenは不透明な塗
膜を対象としているので、3刺激値X,Y,Zは不透明
な塗膜の固有反射率から計算されるものとしている。本
願発明では半透明または透明の塗膜による塗布色を対象
としているので、クローズマッチにおいては、ラフマッ
チの処方に従う混合物で下地を所定の膜厚で覆ったとき
の色彩特性値を計算しそれと色見本の色彩特性値との差
が最小になるように処方を修正している。色彩特性値の
差からの処方の修正値の計算は、例えば、 Allenの論文
中のクローズマッチの計算式(式(16))が使用でき
る。さらに、 Allenの論文にはラフマッチが終了した段
階で不透明塗膜の散乱係数及び吸収係数で色見本の散乱
係数及び吸収係数を置き換えることが記載されている
が、本願発明では、半透明又は透明な塗膜を前提として
いるのでクローズマッチの計算が終わった後の塗膜の散
乱係数及び吸収係数で色見本の散乱係数及び吸収係数が
置き換えられる。[Effects] For example, see Allen's paper (E. Allen, J. Opt. Soc. A
m., 64, p.991-993 (1974)), the rough matching formula can be calculated by giving appropriate initial values to the absorption coefficient and scattering coefficient of the color sample. Can be calculated algebraically. Next, in obtaining the correction value of the prescription in the close match using the expression of the close match (Equation (16)), the tristimulus values X, Y, and Z are used for the opaque paint because Allen targets the opaque paint. It is calculated from the intrinsic reflectance of the film. In the present invention, since the coating color of a translucent or transparent coating film is targeted, in a close match, a color characteristic value when a base material is covered with a mixture according to a rough match formulation with a predetermined film thickness is calculated and a color sample is calculated. The prescription is modified so that the difference between the color characteristic value and the color characteristic value is minimized. For the calculation of the correction value of the prescription from the difference in the color characteristic values, for example, a close match calculation formula (Equation (16)) in Allen's paper can be used. Further, the paper of Allen describes that the scattering coefficient and the absorption coefficient of the opaque coating film replace the scattering coefficient and the absorption coefficient of the color sample at the stage when the rough match is completed, but in the present invention, the translucent or transparent Since the paint film is assumed, the scattering coefficient and the absorption coefficient of the paint film after the calculation of the close match is completed replace the scattering coefficient and the absorption coefficient of the color sample.
【0010】[0010]
【実施例】ごく普通の化粧用ファンデーションの調色
は、塗布する肌の色領域から必然的に、黄、赤、白、そ
して黒の4色の色材を使って行われる。この場合の調色
方法は、基材中に必要とされる個々の色素を直接添加し
て混ぜ合わせる方法と、あらかじめ基材中に個々の色素
をそれぞれ別々に添加したもの(単色ベース)を作製し
ておき、この単色ベース同志を計量・混合して色合わせ
する方法がある。前者の方法は、製造現場では可能であ
るが、本発明で想定しているケースでは、4色の単色ベ
ースの混合を考えるのが現実的である。(更に基材ベー
スを別に用意すると、より一般化された任意の塗布量
(ファンデーションを塗る厚さ)に幅広く対応できる混
合比予測法となる。) 図1は本発明に係る色合わせ計算方法の概略を示すフロ
ーチャートである。図1において、まず、4色の単色ベ
ース(j=1,2,3,4)の反射率を測定して各波長
領域iにおける吸収係数Ki (j) 及び散乱係数Si (j)
を事前に計算してデータ化しておく(ステップ100
0)。この場合、前述の特公平1−47726号公報に
記載の方法に従って、所定の測定板上に裏透けが生じる
膜厚で単色ベースを塗布したものから反射率の測定値を
得ることが好ましい。DESCRIPTION OF THE PREFERRED EMBODIMENTS Toning of a normal cosmetic foundation is carried out by using four color materials of yellow, red, white and black inevitably from the skin color region to be applied. In this case, the toning method includes a method of directly adding individual dyes required in the base material and mixing them, and a method in which individual dyes are separately added in advance to the base material (monochromatic base). In addition, there is a method of measuring and mixing the single color bases to match the colors. The former method is possible at a manufacturing site, but in the case envisaged in the present invention, it is realistic to consider a single-color-based mixture of four colors. (Furthermore, if a base material is separately prepared, it becomes a mixture ratio prediction method that can widely correspond to a more generalized arbitrary application amount (thickness for applying a foundation.)) FIG. 1 shows a color matching calculation method according to the present invention. It is a flowchart which shows an outline. In FIG. 1, first, the reflectances of four monochromatic bases (j = 1, 2, 3, 4) are measured, and the absorption coefficient K i (j) and the scattering coefficient S i (j) in each wavelength region i.
Is calculated in advance and converted into data (step 100).
0). In this case, according to the method described in Japanese Patent Publication No. 47776/1992, it is preferable to obtain a measured value of the reflectance from a monochromatic base coated on a predetermined measuring plate at a film thickness at which see-through occurs.
【0011】次いで、正常部位の肌(以下色見本と記
す)の分光反射率Ri (s) 及び色素異常部位の分光反射
率Ri,g を測定する(ステップ1002)。この場合、
必要があれば、分光光度計から得られた反射率につい
て、サンダーソンの補正法(J.L.Saunderson, J.Opt.So
c.Am., 32, p.727-736 (1942)) により、内面反射及び
分光光度計の反射率測定装置の照明、受光条件に由来す
る鏡面反射に関する補正を行なう。Next, the spectral reflectance R i (s) of the skin (hereinafter referred to as a color sample) in the normal part and the spectral reflectance R i, g of the abnormal pigment part are measured (step 1002). in this case,
If necessary, the reflectance obtained from the spectrophotometer was used to correct for Sanderson's correction method (JLS Saunderson, J. Opt.
c. Am., 32, p. 727-736 (1942)), the correction of the internal reflection and the specular reflection derived from the illumination and light receiving conditions of the reflectance measuring device of the spectrophotometer is performed.
【0012】次に前述の Allenの方法(E.Allen, J.Op
t.Soc.Am., 64, p.991-993 (1974))による次式(1)
を使って、4色の単色ベースの吸収係数Ki (j) 、散乱
係数S i (j) 、及び色見本の反射率Ri (s) から、不透
明体のとき、すなわちすべての可視波長領域において裏
透けが生じない膜厚であるときのラフマッチの処方Cj
(j=1,2,3,4ただしC4 =1−C1 −C2 −C
3 )を計算する(ステップ1004)。Next, the above Allen method (E. Allen, J. Op.
t.Soc.Am., 64, p.991-993 (1974))
Is used to calculate the absorption coefficient K based on four single colors.i (j),scattering
Coefficient S i (j), And the reflectance R of the color samplei (s)From, opaque
When clear, that is, in all visible wavelength regions
Rough Match Formulation C when Film Thickness Does Not Cause Transparencyj
(J = 1, 2, 3, 4 where CFour= 1-C1-CTwo-C
Three) Is calculated (step 1004).
【0013】[0013]
【数1】 (Equation 1)
【0014】なお、(1)式の計算において、色見本の
吸収係数Ki (s) 及び散乱係数Si (s ) を与える必要が
あるが、これらの初期値としてすべての波長区間iにつ
いて Si (s) =1 と仮定し、Ki (s) は Ki (s) =〔1−Ri (s) 〕2 /2Ri (s) で求める(ステップ1003)。また(1)式では All
enの論文中の式(11)中のα(全顔料)を1としてい
る。In the calculation of the equation (1), it is necessary to give the absorption coefficient K i (s) and the scattering coefficient S i (s ) of the color sample. i (s) = 1 and assuming, K i (s) is determined by K i (s) = [1-R i (s)] 2 / 2R i (s) (step 1003). In equation (1), All
α (all pigments) in the formula (11) in the paper of en is set to 1.
【0015】次に、得られたラフマッチの処方Cj にお
ける3刺激値X,Y,Zの予測値X m ,Ym ,Zm を算
出する(ステップ1006)。 Allenは不透明体を対象
としているので、混合物の固有反射率Ri,∞(論文中で
はRi (m) )からXm ,Ym,Zm が算出されるが、本
発明では薄付きを含む任意の膜厚を対象としているの
で、Kubelka(P.Kubelka, J.Opt.Soc.Am., 38, p.448-45
7 (1948)) による次式(2)で算出される、膜厚Xにお
ける分光反射率Ri (m) からXm ,Ym ,Zm が算出さ
れる。Next, the obtained rough match formulation CjIn
Value X of three stimulus values X, Y, and Z m, Ym, ZmIs calculated
Issue (step 1006). Allen targets opaque bodies
, The specific reflectance R of the mixturei,∞ (in the paper
Is Ri (m)) To Xm, Ym, ZmIs calculated, but the book
The invention is intended for any film thickness including thinning
Kubelka (P. Kubelka, J. Opt. Soc. Am., 38, p. 448-45
7 (1948)) to the film thickness X calculated by the following equation (2).
Reflectance Ri (m)To Xm, Ym, ZmIs calculated
It is.
【0016】[0016]
【数2】 (Equation 2)
【0017】なお、村田によれば、(Ki (m) /Si
(m) )が負の値をとるときがあり、その場合は Ri,∞=2−{1+(Ki (m) /Si (m) ) −〔(Ki (m) /Si (m) )2+2(Ki (m) /Si (m) )〕1/2 } とする(村田幸男、色彩技術ハンドブック、総合技術セ
ンター、p.340−341,(1990))。式
(2)で計算される分光反射率Ri (m) には必要があれ
ば前述のサンダーソンの補正法に従って逆補正が施され
た後、次式により塗布色の3刺激値X,Y,Zの予測値
Xm ,Ym ,Zm が算出される。According to Murata, (K i (m) / S i
(m) ) sometimes takes a negative value, in which case R i, ∞ = 2- {1+ (K i (m) / S i (m) ) − [(K i (m) / S i (m) ) 2 +2 (K i (m) / S i (m) )] 1/2 ((Yukio Murata, Color Technology Handbook, General Technology Center, 340-341, (1990)). If necessary, the spectral reflectance R i (m) calculated by the equation (2) is inversely corrected according to the above-mentioned Sanderson's correction method, and then the tristimulus values X and Y of the coating color are calculated by the following equation. , Z predicted values X m , Y m , and Z m are calculated.
【0018】[0018]
【数3】 (Equation 3)
【0019】次に、色見本のRi (s) から同様にして算
出される色見本の3刺激値Xs ,Y s ,Zs を要素とす
るベクトルts =〔Xs Ys Zs 〕t とXm ,
Ym ,Z m を要素とするベクトルtm =〔Xm Ym
Zm 〕t との差Δtが算出され(ステップ1008)、
Allenの方法による次式(4)に従って、Δtを最小に
する処方Cj の修正値ΔCj が算出され、これによって
Cj が修正される(ステップ1010)。Next, the color sample Ri (s)In the same way
The tristimulus value X of the color sample to be issueds, Y s, ZsElement
Vector ts= [Xs Ys Zs]tAnd Xm,
Ym, Z mIs a vector tm= [Xm Ym
Zm]tIs calculated (step 1008).
According to the following equation (4) according to Allen's method, Δt is minimized.
Formulation CjCorrection value ΔCjIs calculated, whereby
CjIs modified (step 1010).
【0020】[0020]
【数4】 (Equation 4)
【0021】式(4)で得られるベクトルΔCは処方C
1 ,C2 ,C3 の修正値ΔC1 ,ΔC 2 ,ΔC3 を要素
とするベクトルである。従って、これらにより C1 ←C1 +ΔC1 C2 ←C2 +ΔC2 C3 ←C3 +ΔC3 とC1 ,C2 ,C3 を修正し、さらに総和を1にするた
め、 C1 ←C1 /(C1 +C2 +C3 +C4 ) C2 ←C2 /(C1 +C2 +C3 +C4 ) C3 ←C3 /(C1 +C2 +C3 +C4 ) C4 ←C4 /(C1 +C2 +C3 +C4 ) と修正する。The vector ΔC obtained by equation (4)
1, CTwo, CThreeCorrection value ΔC1, ΔC Two, ΔCThreeThe element
Is a vector. Therefore, by these, C1← C1+ ΔC1 CTwo← CTwo+ ΔCTwo CThree← CThree+ ΔCThree And C1, CTwo, CThreeWas corrected, and the sum was reduced to 1.
C1← C1/ (C1+ CTwo+ CThree+ CFour) CTwo← CTwo/ (C1+ CTwo+ CThree+ CFour) CThree← CThree/ (C1+ CTwo+ CThree+ CFour) CFour← CFour/ (C1+ CTwo+ CThree+ CFour).
【0022】修正された処方Cからステップ1006の
計算と同様にして予測値Xm ,Ym,Zm を算出し(ス
テップ1012)、実測値との差Δtを算出する(ステ
ップ1014)。Δtが許容範囲内にあるか否かが判断
され(ステップ1016)、許容範囲内になければ、処
方Cj 及び各単色ベースの吸収係数Ki (j) 及び散乱係
数Si (j) から式(2)−1により計算される、塗膜の
Ki (m) 及びSi (m)を色見本のKi (s) 及びSi (s)
へ代入し(ステップ1018)、ステップ1004のラ
フマッチから再度計算を行なう。許容範囲内であれば、
計算処理を終了するが、次の対象について同じ単色ベー
スを用いたときの処方の計算をするときは、ステップ1
002から処理を再開する。Predicted values X m , Y m , and Z m are calculated from the corrected prescription C in the same manner as the calculation in step 1006 (step 1012), and the difference Δt from the actually measured value is calculated (step 1014). It is determined whether Δt is within the allowable range (step 1016). If not, the formula is obtained from the prescription Cj and the absorption coefficient K i (j) and the scattering coefficient S i (j) of each monochromatic base. The K i (m) and S i (m) of the paint film, which are calculated by (2) -1, are used as the K i (s) and S i (s) of the color sample.
(Step 1018), and the calculation is performed again from the rough match in step 1004. If it is within the allowable range,
The calculation process is ended. To calculate a prescription when the same monochrome base is used for the next object, step 1 is executed.
The process is restarted from 002.
【0023】上記した方法により、一般に、目標とする
塗布色と、下地(例えば、素肌)の分光反射率が採取で
き、かつ、どのくらいの厚さ(X)で塗布した状態の塗
布色を想定すれば良いかが設定できれば、3刺激値マッ
チという条件下で、個々の単色ベースの吸収・散乱係数
データを使って目標とする塗布色がえられる単色ベース
の混合比が予測できる。According to the above-mentioned method, in general, a target coating color and a spectral reflectance of a base (for example, bare skin) can be collected, and a coating color in a state where the coating is applied at what thickness (X) is assumed. If the setting can be made, under the condition of the tristimulus value match, the mixing ratio of the single color base for obtaining the target coating color can be predicted using the absorption / scattering coefficient data of each single color base.
【0024】村田(村田幸男、色彩技術ハンドブック、
総合技術センター、p.524−533(1990))
は、 Allenが提案した2定数を用いた3刺激値合わせの
計算プログラム(BASIC言語)を公開している。以
下に示す計算例は、このプログラムをベースに、上述し
た方法によって、目的とした塗布色が得られる単色ベー
ス混合比が予測できるようにした拡張プログラムで計算
したものである。標準光源はD65、観測視野は10
度、分光反射率データは、400nm−700nm間、20
nm間隔、16波長点のデータを使用している。また、計
算に用いた、YellowとOrangeの吸収係数Ki (1) ,Ki
(2) と散乱係数Si (1) ,Si (2) は、村田のプログラ
ムで使用されている値をそのまま用いている。Murata (Yukio Murata, Color Technology Handbook,
General Technology Center, p. 524-533 (1990))
Has published a calculation program (BASIC language) for tristimulus value adjustment using two constants proposed by Allen. The following calculation example is based on this program, and is calculated by an extended program that can predict a single-color base mixture ratio at which a target coating color can be obtained by the above-described method. Standard light source is D65, observation field is 10
Degree, spectral reflectance data, between 400 nm-700 nm, 20
Data at 16 wavelength points at nm intervals are used. Moreover, used in the calculation, the absorption coefficient of Yellow and Orange K i (1), K i
(2) and the scattering coefficients S i (1) and S i (2) use the values used in the Murata program as they are.
【0025】Blackと Whiteは、肌色補正に適した単色
ベースとするため表1に記載した吸収係数Ki (3) ,K
i (4) 、散乱係数Si (3) ,Si (4) をもつものとし
た。色見本(塗布色)は、2色を想定し、その分光反射
率は、それぞれRi (s1)′,R i (s2)′である。Ri
(s1)′は、後述する理由から色見本の塗布色の分光反射
率と単色ベース混合品塗布色の分光反射率が一致するこ
とが期待される色見本の例である。Ri (s2)′は、日本
人女性の頬(正常部位)の分光反射率の1例を色見本と
している。また、下地の肌の分光反射率Ri,g ′は、太
田母斑の測定データの1例を共に用いている。塗布した
膜厚はX=1とした。計算に用いたデータ一覧を、表1
に記載した。Black and White are single colors suitable for skin color correction
Absorption coefficient K described in Table 1 for use as a basei (3), K
i (Four), Scattering coefficient Si (3), Si (Four)With
Was. Color samples (coating colors) are assumed to be two colors and their spectral reflections
The rates are Ri (s1)', R i (s2)'. Ri
(s1)′ Is the spectral reflection of the color sample coating color for the reasons described below.
And the spectral reflectance of the single-color base mixed product application color match.
Is an example of an expected color sample. Ri (s2)′ Is Japan
A sample of the spectral reflectance of the cheek (normal part) of a Japanese woman
are doing. Also, the spectral reflectance R of the underlying skini, g′ Is thick
One example of the measurement data of the nevus is used together. Applied
The film thickness was set to X = 1. Table 1 shows a list of data used for calculation.
It described in.
【0026】但し、表1にしめしたRi (s1)′,Ri
(s2)′ならびにRi,g ′は、分光光度計でえられた実測
値ないしは、それに相当するデータである。従って前述
したように、予測に用いるには、Saundersonが提案して
いる補正法で補正する必要がある。ここでは、数値計算
例を提示することが目的なので村田のプログラム中の数
値をそのまま補正係数として用いている。However, R i (s1) ′, R i shown in Table 1
(s2) 'and R i, g ' are measured values obtained by a spectrophotometer or data corresponding thereto. Therefore, as described above, it is necessary to perform correction using the correction method proposed by Saunderson for use in prediction. Here, since the purpose is to present a numerical calculation example, the numerical value in the Murata program is used as it is as the correction coefficient.
【0027】[0027]
【表1】 [Table 1]
【0028】計算例1 式(2)−1をもちいて、Yellow=0.05,Orange
0.40, Black=0.25, White=0.30の割合
で混合した塗膜の波長ごとの吸収係数Ki (m) 、散乱係
数Si (m) を計算する。たとえば、400nmを例にとれ
ば K400 (m) =0.05×1.2616+0.40×1.5149 +0.25×0.8256+0.30×0.0504 S400 (m) =0.05×0.0840+0.40×0.0777 +0.25×0.0839+0.30×5.0381 この塗膜を表1に示した下地としての肌(色素異常部
位)に、厚さX=1で塗布した時の分光反射率Ri (m)
を、以下の手順で求める。 Calculation Example 1 Using Equation (2) -1, Yellow = 0.05, Orange
The absorption coefficient K i (m) and the scattering coefficient S i (m) for each wavelength of the coating film mixed at a ratio of 0.40, Black = 0.25, White = 0.30 are calculated. For example, taking 400 nm as an example, K 400 (m) = 0.05 × 1.2616 + 0.40 × 1.5149 + 0.25 × 0.8256 + 0.30 × 0.0504 S 400 (m) = 0.05 × 0.0840 + 0.40 × 0.0777 + 0.25 × 0.0839 + 0.30 × 5.0381 This coating film was applied to the skin (pigment abnormal part) as a base shown in Table 1 at a thickness X = 1. Spectral reflectance R i (m)
Is determined by the following procedure.
【0029】1)K400 (m) ,S400 (m) …を式(2)
−4に代入して、塗膜の固有反射率Ri,∞を計算する。 2)Ri,∞を式(2)−2に代入し、得られたai を式
(2)−3に代入するとbi が求まる。 3)Si (m) ,ai ,bi 並びにRi,g を式(2)に代
入し、Ri (m) を計算する。1) K 400 (m) , S 400 (m) ...
-4 to calculate the specific reflectance R i,の of the coating film. 2) By substituting R i,に into equation (2) -2 and substituting the obtained a i into equation (2) -3, b i is obtained. 3) Substituting S i (m) , a i , b i and R i, g into equation (2 ) to calculate R i (m) .
【0030】ここで得られたRi (m) に対して、Saunde
rsonが提案している補正の逆補正を行うと、分光光度計
で得られる塗布色の反射率Ri (m) ′が求まる。このよ
うにして求めたRi (m) ′を、色見本(1)の分光反射
率データRi (s1)′とした。上記した計算過程からわか
るように、このようにして求めたRi (s1)′を色見本
(1)の分光反射率とし、下地の分光反射率を
Ri,g ′、膜厚X=1として、単色ベース混合比を予測
してみるとYellow,Orange,Black, Whiteの混合比は、
限りなく、0.05,0.40,0.30,0.25に
近くなるばかりでなく、その分光反射率も、ほぼ一致す
るはずである。For R i (m) obtained here, Saunde
When the reverse correction of the correction proposed by rson is performed, the reflectance R i (m) ′ of the coating color obtained by the spectrophotometer is obtained. The R i (m) ′ thus obtained was used as the spectral reflectance data R i (s1) ′ of the color sample (1). As can be seen from the above calculation process, R i (s1) ′ thus obtained is used as the spectral reflectance of the color sample (1), the spectral reflectance of the base is R i, g ′, and the film thickness X = 1. As a result, when predicting the monochromatic base mixture ratio, the mixture ratio of Yellow, Orange, Black, and White is
Infinitely, not only should they be close to 0.05, 0.40, 0.30, and 0.25, but their spectral reflectances should also substantially match.
【0031】前述したプログラムを使って、許容色差
(L* ,a* ,b* 色空間)ΔE=0.1として、混合
比を予測してみると、表2の如くとなった。Using the above-described program and assuming the allowable color difference (L * , a * , b * color space) ΔE = 0.1, the mixture ratio was predicted, as shown in Table 2.
【0032】[0032]
【表2】 [Table 2]
【0033】表1に示した色見本(1)の分光反射率
と、計算によって求めた混合比で調色したファンデーシ
ョンを色素異常部に塗布したときの塗布色の分光反射率
の予測値を表3に示す。当然のことながら、結果として
分光反射率の極めて高い一致がみられる。Table 1 shows the spectral reflectance of the color sample (1) shown in Table 1 and the predicted value of the spectral reflectance of the applied color when the foundation toned at the mixture ratio obtained by calculation is applied to the abnormal dye portion. 3 is shown. Naturally, a very high agreement of the spectral reflectivity results.
【0034】[0034]
【表3】 [Table 3]
【0035】計算例2 計算例1では、使用する単色ベースの混合比をあらかじ
め決めておいて、それを色素異常部に塗布した時の塗布
色の分光反射率を先に求めておいた。そして、その塗布
色の分光反射率をうるための混合比を、本願で提案して
いる方法で算出した。 Calculation Example 2 In Calculation Example 1, the mixing ratio of the single color base to be used was determined in advance, and the spectral reflectance of the applied color when the mixture ratio was applied to the abnormal dye portion was determined in advance. Then, the mixing ratio for obtaining the spectral reflectance of the coating color was calculated by the method proposed in the present application.
【0036】ここでは、日本人女性の頬(正常部位)の
分光反射率Ri (s2)′を色見本(2)とし、下地を色素
異常部位の分光反射率Ri,g ′、塗膜の厚さをX=1と
して、色素異常部位に塗布した塗布色の3刺激値が、正
常部位の塗布色の3刺激値と一致する色材の混合比を求
めている。この場合、色見本(2)の分光特性に、調色
したファンデーション塗布色の分光特性が一致するよう
に単色ベースの色を選択しているわけではないので、得
られる結果は、3刺激値は一致するが、分光反射率は異
なる条件等色となる。許容色差ΔE=0.1とした時の
混合比の予測値を表4に示す。Here, the spectral reflectance R i (s2) ′ of the cheek (normal part) of a Japanese woman is used as a color sample (2), the base is the spectral reflectance R i, g ′ of a pigment abnormal part, and the coating film is Assuming that the thickness of X is 1, the mixing ratio of the color material in which the tristimulus value of the applied color applied to the abnormal pigment site matches the tristimulus value of the applied color of the normal site is calculated. In this case, the monochromatic base color is not selected so that the spectral characteristics of the toned foundation application color match the spectral characteristics of the color sample (2). They match, but have different spectral reflectances. Table 4 shows the predicted values of the mixture ratio when the allowable color difference ΔE = 0.1.
【0037】[0037]
【表4】 [Table 4]
【0038】色見本(2)の分光反射率と調色品塗布色
の分光反射率予測値を表5及び図2に示す。Table 5 and FIG. 2 show the spectral reflectance of the color sample (2) and the predicted spectral reflectance of the toned product application color.
【0039】[0039]
【表5】 [Table 5]
【0040】計算例3 色見本(補正目標)が色白肌及び色黒肌である場合につ
いても同様に、表1に示される分光反射率Ri,g ′の太
田母斑の上に塗布することによって目標色に近付け得る
ファンデーションの配合比を計算した。図3に太田母
斑、色白肌、及び塗布色の分光反射率を示し、表6に色
白肌に近付け得るファンデーションの配合比及び色白部
分と補正部分の3刺激値を示す。 Calculation Example 3 Similarly, when the color sample (correction target) is a fair-skinned skin or a dark-skinned skin, the color sample is applied on the nevus of Ota having the spectral reflectance R i, g ′ shown in Table 1. The composition ratio of the foundation that can approach the target color was calculated. FIG. 3 shows the spectral reflectance of the nevus of Ota, fair skin, and the applied color. Table 6 shows the composition ratio of the foundation that can approximate the fair skin, and the three stimulus values of the fair part and the corrected part.
【0041】 表6 色白で、太田母斑がある人 計算で求めた配合比 色白部分 補正部分 黄色のファンデーション 6.09g 3刺激値 3刺激値 橙色のファンデーション 31.76g X=40.23 X=40.12 白いファンデーション 41.57g Y=38.84 Y=38.75 黒いファンデーション 20.58g Z=30.51 Z=30.44 また、図4には太田母斑、色黒肌、及び塗布色の分光反
射率を示し、表7には色黒肌に近付け得るファンデーシ
ョンの配合比及び色黒部分と補正部分の3刺激値を示
す。Table 6 People with fair skin and nevus of Ota Formulation ratio calculated White-colored part Corrected part Yellow foundation 6.09 g Tristimulus value Tristimulus value Orange foundation 31.76 g X = 40.23 X = 40 .12 White foundation 41.57 g Y = 38.84 Y = 38.75 Black foundation 20.58 g Z = 30.51 Z = 30.44 FIG. 4 shows the nevus of Ota, the color black skin, and the coating color. The spectral reflectance is shown, and Table 7 shows the compounding ratio of the foundation that can approach the black and white skin, and the tristimulus values of the black and black portions and the corrected portion.
【0042】 表7 色黒で、太田母斑がある人 計算で求めた配合比 色黒部分 補正部分 黄色のファンデーション 3.30g 3刺激値 3刺激値 橙色のファンデーション 47.80g X=29.62 X=29.54 白いファンデーション 22.00g Y=27.50 Y=27.44 黒いファンデーション 26.90g Z=19.62 Z=19.59 平均的な肌色の場合(表5及び図2)と同様に、分光特
性は一致しないが3刺激値はよく一致する。Table 7 People with black and black, with Ota nevus Calculation calculated mixing ratio Color black part Correction part Yellow foundation 3.30 g Tristimulus value 3 stimulation value Orange foundation 47.80 g X = 29.62 X = 29.54 White foundation 22.00g Y = 27.50 Y = 27.44 Black foundation 26.90g Z = 19.62 Z = 19.59 Similar to the case of average skin color (Table 5 and FIG. 2) Although the spectral characteristics do not match, the tristimulus values match well.
【0043】図5は本発明に係る色合わせ計算装置の一
実施例を示す。図5において、パーソナルコンピュータ
10に分光光度計12が接続される。パーソナルコンピ
ュータ10のメモリには前述したプログラムがロードさ
れる。各単色ベースの吸収係数Ki (j) 及び散乱係数S
i (j) が前述した方法により測定され、パーソナルコン
ピュータ10のメモリに予め格納される。分光光度計1
2により正常部位及び色素異常部位の分光反射率が測定
され、パーソナルコンピュータ10へ入力されると、図
1を参照して説明した計算手順に従って、色素異常部位
に薄づきの状態で塗ったときに正常部位と同じ色にしう
るファンデーションの配合比が決定され、パーソナルコ
ンピュータ10のディスプレイに表示される。FIG. 5 shows an embodiment of the color matching calculation apparatus according to the present invention. In FIG. 5, a spectrophotometer 12 is connected to a personal computer 10. The above-described program is loaded into the memory of the personal computer 10. Absorption coefficient K i (j) and scattering coefficient S for each monochromatic base
i (j) is measured by the above-described method and stored in the memory of the personal computer 10 in advance. Spectrophotometer 1
2, the spectral reflectance of the normal part and the abnormal pigment part are measured and input to the personal computer 10, and when the pigment is applied to the abnormal pigment part in a thin state according to the calculation procedure described with reference to FIG. The compounding ratio of the foundation that can be made the same color as the normal part is determined and displayed on the display of the personal computer 10.
【0044】なお、色素異常部位に塗布して正常部位と
同じ色にする場合を例にとって本発明を説明したが、正
常部位に薄塗りして目標とする色に仕上げる場合にも本
発明の手法が適用可能であり、さらに化粧肌に限らず、
一般の下地に塗料を薄塗りして目標の色に仕上げる場合
に適用可能であることは勿論である。The present invention has been described by taking as an example the case where the color is applied to the abnormal pigment part to make the same color as the normal part. However, the method of the present invention is also applied to the case where the normal part is lightly coated to finish the target color. Is applicable, and is not limited to makeup skin,
It is needless to say that the present invention can be applied to a case where a general base material is lightly coated with a paint to finish a target color.
【0045】[0045]
【発明の効果】本発明によれば、 Allenの提案している
2定数を用いた3刺激値マッチ法を拡張することで、
『下地(たとえば、色素異常部位の肌色)+半透明塗膜
(たとえば、ファンデーション)』から構成される塗布
色が、色見本(たとえば、正常部位の肌色)と同じ色の
化粧肌色となる色材(たとえば、単色ベース)混合比を
予測することができるようになった。According to the present invention, by extending the tristimulus value matching method using two constants proposed by Allen,
A color material in which the application color composed of “base (for example, skin color of abnormal pigment part) + translucent coating film (for example, foundation)” is the same makeup color as the color sample (for example, skin color of normal part). It is now possible to predict the mixing ratio (for example, on a single color basis).
【図1】本発明の色合わせ計算方法の一実施例の概略を
示すフローチャートである。FIG. 1 is a flowchart schematically showing an embodiment of a color matching calculation method according to the present invention.
【図2】太田母斑、平均的な肌色、及び本発明の色合わ
せ方法で決定された配合比のファンデーションを塗布し
たときの塗布色の分光反射率を示すグラフである。FIG. 2 is a graph showing the spectral reflectance of the applied color when a foundation having a compounding ratio determined by the color matching method of the present invention is applied.
【図3】太田母斑、色白肌、及び本発明の色合わせ方法
で決定された配合比のファンデーションを塗布したとき
の塗布色の分光反射率を示すグラフである。FIG. 3 is a graph showing the spectral reflectance of an applied color when a foundation having a compounding ratio determined by the color matching method of the present invention is applied.
【図4】太田母斑、色黒肌、及び本発明の色合わせ方法
で決定された配合比のファンデーションを塗布したとき
の塗布色の分光反射率を示すグラフである。FIG. 4 is a graph showing the spectral reflectance of an applied color when a foundation having a compounding ratio determined by the color matching method of the present invention is applied.
【図5】本発明の色合わせ計算装置の一実施例を示す図
である。FIG. 5 is a diagram showing one embodiment of a color matching calculation device of the present invention.
10…パーソナルコンピュータ 12…分光光度計 10 Personal computer 12 Spectrophotometer
───────────────────────────────────────────────────── フロントページの続き (58)調査した分野(Int.Cl.7,DB名) G01J 3/00 - 3/52 実用ファイル(PATOLIS) 特許ファイル(PATOLIS)────────────────────────────────────────────────── ─── Continued on the front page (58) Fields investigated (Int. Cl. 7 , DB name) G01J 3/00-3/52 Practical file (PATOLIS) Patent file (PATOLIS)
Claims (10)
で覆ったときに所定の色見本と同じ色に見えるような色
材の処方を決定する色合わせ計算方法であって、 a)色見本の吸収係数及び散乱係数を所定の初期値で初
期化し(1003)、 b)色見本の吸収係数及び散乱係数の該初期値または置
き換えた後の値のもとで予測される、該複数の色材の混
合物の色彩特性値が、該色見本の色彩特性値と一致する
ような色材の処方を計算し(1004)、 c)ステップb)で計算された処方に従って該複数の色
材を混合して前記下地を前記所定の膜厚で覆ったときの
色彩特性値の予測値を計算し(1006)、 d)ステップc)で計算された色彩特性値の予測値と前
記色見本の色彩特性値との差が最小になるように、ステ
ップb)で計算された処方を修正し(1008,101
0)、 e)ステップd)で修正された処方に従って該複数の色
材を混合して前記下地を前記所定の膜厚で覆ったときの
色彩特性値の予測値を計算し(1012)、 f)ステップe)で計算された色彩特性値の予測値と前
記色見本の色彩特性値との差が所定の許容値内であると
き終了し、許容値内でないときは、許容値内になるまで
ステップd)で修正された処方における色材の混合物の
吸収係数及び散乱係数で前記色見本の吸収係数及び散乱
係数をそれぞれ置き換えた後、ステップb)〜e)を繰
り返す(1014,1016,1018)各ステップを
具備する方法。1. A color matching calculation method for determining a prescription of a color material that looks like the same color as a predetermined color sample when a plurality of color materials are mixed and a base is covered with a predetermined film thickness, a) Initializing the absorption coefficient and the scattering coefficient of the color sample with a predetermined initial value (1003); b) The initial value or the position of the absorption coefficient and the scattering coefficient of the color sample
Calculating a formula of the color material such that the color characteristic value of the mixture of the plurality of color materials, which is predicted based on the value after the replacement , matches the color characteristic value of the color sample (1004); c) calculating a predicted color characteristic value when the plurality of color materials are mixed according to the prescription calculated in step b) and the base is covered with the predetermined film thickness (1006); d) step c ) Is corrected (1008, 101) so that the difference between the predicted value of the color characteristic value calculated in step (b) and the color characteristic value of the color sample is minimized.
0), e) calculating the predicted color characteristic value when the plurality of color materials are mixed according to the prescription modified in step d) and the base is covered with the predetermined film thickness (1012), f If the difference between the predicted value of the color characteristic value calculated in step e) and the color characteristic value of the color sample is within a predetermined allowable value, the process is terminated. After replacing the absorption coefficient and the scattering coefficient of the color sample with the absorption coefficient and the scattering coefficient of the color material mixture in the formulation modified in step d), steps b) to e) are repeated (1014, 1016, 1018). A method comprising each step.
数の色材の各々jの各波長区間iについての吸収係数K
i (j) 及び散乱係数Si (j) を予め決定し(100
0)、 h)ステップb)の前において前記色見本及び下地の反
射率Ri (s) 及びRi,g を測定する(1002)ステッ
プをさらに具備し、 前記ステップa)において、前記色見本の散乱係数Si
(s) は波長区間iによらず1に初期化され、吸収係数K
i (s) は式 Ki (s) =〔1−Ri (s) 〕2 /2Ri (s) で計算される値に初期化され、 前記ステップb)において、前記色材の処方Cj は前記
色見本の吸収係数Ki (s) 、散乱係数Si (s) 、及び反
射率Ri (s) と、各色材の吸収係数Ki (j) 及び散乱係
数Si (j) とから代数的に計算される請求項1記載の方
法。2. g) Before step b), the absorption coefficient K for each wavelength section i of each of the plurality of color materials j.
i (j) and scattering coefficient S i (j) are determined in advance (100
0), h) measuring the reflectances R i (s) and R i, g of the color sample and the background before step b) (1002); and in step a), measuring the color sample. Scattering coefficient S i
(s) is initialized to 1 regardless of the wavelength section i, and the absorption coefficient K
i (s) is initialized to a value calculated by the formula K i (s) = [1-R i (s)] 2 / 2R i (s), wherein in step b), formulation C of the coloring material j is the absorption coefficient K i (s) , scattering coefficient S i (s) , and reflectance R i (s) of the color sample, and the absorption coefficient K i (j) and scattering coefficient S i (j) of each color material. The method of claim 1, wherein the method is algebraically calculated from:
3刺激値X,Y,Zであり、 前記ステップc)及びe)は、 i)色材の処方Cj と、各色材の吸収係数Ki (j) 及び
散乱係数Si (j) とから混合物の吸収係数Ki (m) 及び
散乱係数Si (m) を計算し、 ii)該混合物の固有反射率Ri,∞を式 Ri,∞=1+(Ki (m) /Si (m) ) −〔(Ki (m) /Si (m) )2+2(Ki (m) /Si (m) )〕1/2 に従って計算し、 iii) パラメータai ,bi を式 ai =(1/2)〔(1/Ri,∞)+Ri,∞〕 bi =(ai 2 −1)1/2 に従って計算し、 iv)前記混合物で前記下地を所定の膜厚Xで覆ったとき
の反射率Ri (m) を式 Ri (m) ={1−Ri,g 〔ai −bi ctgh(bi Si (m) X)〕}/ 〔ai −Ri,g +bi ctgh(bi Si (m) X)〕 に従って計算し、 v)該反射率Ri (m) から前記3刺激値の予測値Xm ,
Ym ,Zm を算出する各サブステップを含む請求項2記
載の方法。Wherein said color characteristic values are tristimulus values X, Y, Z in the XYZ color system, said steps c) and e), i) and Formulation C j of the colorant, the absorption coefficient of each color material Calculate the absorption coefficient K i (m) and the scattering coefficient S i (m) of the mixture from K i (j) and the scattering coefficient S i (j), and ii) calculate the intrinsic reflectance R i,の of the mixture by the equation R i, ∞ = 1 + (K i (m) / S i (m) ) − [(K i (m) / S i (m) ) 2 +2 (K i (m) / S i (m) )] calculated according to 1/2, iii) the parameters a i, a b i wherein a i = (1/2) [(1 / R i, ∞) + R i, ∞ ] b i = (a i 2 -1 ) 1 / 2 Follow calculates, iv) the mixing reflectance when covering the ground at a predetermined thickness X in product R i (m) the formula R i (m) = {1 -R i, g [a i - b i ctgh calculated according (b i S i (m) X) ]} / [a i -R i, g + b i ctgh (b i S i (m) X) ], v) Predicted value X m of the tristimulus values from the reflectance R i (m),
Y m, The method of claim 2 further comprising a respective sub-step of calculating the Z m.
記下地の反射率を分光光度計によりそれぞれ測定し、測
定された反射率について、内面反射及び分光光度計の反
射率測定装置の照明、受光条件に由来する鏡面反射に関
する補正を行なうことを含み、 前記サブステップv)は、前記反射率Ri (m) につい
て、分光光度計で実測される反射率に置き換えることを
目的に内面反射及び分光光度計の反射率測定装置の照
明、受光条件に由来する鏡面反射に関する逆補正を行な
うことを含む請求項3記載の方法。4. The step h) includes measuring the reflectance of the color sample and the base material with a spectrophotometer, and measuring the reflectance with an internal reflection and illumination of a reflectance measuring device of the spectrophotometer. The sub-step v) includes correcting the reflectance R i (m) with a reflectance actually measured by a spectrophotometer. 4. The method according to claim 3, including performing inverse correction on specular reflection resulting from illumination and light receiving conditions of the reflectance measuring device of the spectrophotometer.
記色見本は肌の色素正常部位である請求項4記載の方
法。5. The method according to claim 4, wherein the base is an abnormal pigment site on the skin, and the color sample is a normal pigment site on the skin.
で覆ったときに所定の色見本と同じ色に見えるような色
材の処方を決定する色合わせ計算装置であって、 色見本の吸収係数及び散乱係数を所定の初期値で初期化
する初期化手段(1003)と、 色見本の吸収係数及び散乱係数の該初期値または置き換
えた後の値のもとで予測される、該複数の色材の混合物
の色彩特性値が、該色見本の色彩特性値と一致するよう
な色材の処方を計算する処方計算手段(1004)と、 該処方計算手段が計算する処方に従って該複数の色材を
混合して前記下地を前記所定の膜厚で覆ったときの色彩
特性値の予測値を計算する第1の予測値計算手段(10
06)と、 該第1の予測値計算手段が計算する色彩特性値の予測値
と前記色見本の色彩特性値との差が最小になるように、
前記処方計算手段が計算する処方を修正する処方修正手
段(1008,1010)と、 該処方修正手段が修正した処方に従って該複数の色材を
混合して前記下地を前記所定の膜厚で覆ったときの色彩
特性値の予測値を計算する第2の予測値計算手段(10
12)と、 該第2の予測値計算手段が計算する色彩特性値の予測値
と前記色見本の色彩特性値との差が所定の許容値内であ
るとき終了し、許容値内でないときは、許容値内になる
まで前記処方修正手段が修正した処方における色材の混
合物の吸収係数及び散乱係数で前記色見本の吸収係数及
び散乱係数をそれぞれ置き換えた後、前記処方計算手
段、第1の予測値計算手段、処方修正手段、及び第2の
予測値計算手段を起動する手段(1014,1016,
1018)を具備する装置。6. A color matching calculation device for determining a prescription of a color material that looks like the same color as a predetermined color sample when a plurality of color materials are mixed and the base is covered with a predetermined film thickness, Initialization means (1003) for initializing the absorption coefficient and the scattering coefficient of the color sample with predetermined initial values, and the initial value or replacement of the absorption coefficient and the scattering coefficient of the color sample.
Prescription calculation means (1004) for calculating a prescription of a color material such that the color characteristic value of the mixture of the plurality of color materials, which is predicted based on the obtained values, matches the color characteristic value of the color sample. A first predictive value calculating means for calculating a predictive value of a color characteristic value when the plurality of color materials are mixed according to the prescription calculated by the prescription calculating means and the base is covered with the predetermined film thickness; 10
06), and the difference between the predicted color characteristic value calculated by the first predicted value calculation means and the color characteristic value of the color sample is minimized.
Prescription correction means (1008, 1010) for correcting the prescription calculated by the prescription calculation means; and mixing the plurality of color materials according to the prescription corrected by the prescription correction means to cover the base with the predetermined film thickness. Second predicted value calculating means (10) for calculating the predicted value of the color characteristic value at the time.
12), if the difference between the predicted color characteristic value calculated by the second predicted value calculation means and the color characteristic value of the color sample is within a predetermined allowable value, and the process ends if the difference is not within the allowable value. After replacing the absorption coefficient and the scattering coefficient of the color sample with the absorption coefficient and the scattering coefficient of the mixture of coloring materials in the prescription modified by the prescription correction means until the prescription correction means is within the allowable value, the prescription calculation means, the first Means for activating the predicted value calculating means, the prescription correcting means, and the second predicted value calculating means (1014, 1016,
1018).
複数の色材の各々jの各波長区間iについての吸収係数
Ki (j) 及び散乱係数Si (j) を予め決定する手段(1
000)と、前記処方計算手段による計算の前に 前記色見本及び下地
の反射率Ri (s) 及びRi,g を測定する測定手段(10
02)とをさらに具備し、 前記初期化手段は、前記色見本の散乱係数Si (s) を波
長区間iによらず1に初期化し、吸収係数Ki (s) を式 Ki (s) =〔1−Ri (s) 〕2 /2Ri (s) で計算される値に初期化し、 前記処方計算手段は、前記色材の処方Cj を前記色見本
の吸収係数Ki (s) 、散乱係数Si (s) 、及び反射率R
i (s) と、各色材の吸収係数Ki (j) 及び散乱係数Si
(j) とから代数的に計算する請求項6記載の装置。7. A means for determining an absorption coefficient K i (j) and a scattering coefficient S i (j) for each wavelength section i of each of the plurality of color materials j before calculation by the prescription calculation means. 1
000) and measuring means (10 ) for measuring the reflectance R i (s) and R i, g of the color sample and the base before calculation by the prescription calculating means.
02), wherein the initialization means initializes the scattering coefficient S i (s) of the color sample to 1 irrespective of the wavelength section i, and sets the absorption coefficient K i (s) to the equation K i (s). ) = [1−R i (s) ] 2 / 2R i (s) , and the prescription calculation means converts the prescription C j of the color material to the absorption coefficient K i ( s) , scattering coefficient S i (s) , and reflectance R
i (s) , the absorption coefficient K i (j) and the scattering coefficient S i of each color material
The apparatus according to claim 6, wherein the calculation is performed algebraically from (j) .
3刺激値X,Y,Zであり、 前記第1及び第2の予測値計算手段は、 色材の処方Cj と、各色材の吸収係数Ki (j) 及び散乱
係数Si (j) とから混合物の吸収係数Ki (m) 及び散乱
係数Si (m) を計算する手段と、 該混合物の固有反射率Ri,∞を式 Ri,∞=1+(Ki (m) /Si (m) ) −〔(Ki (m) /Si (m) )2+2(Ki (m) /Si (m) )〕1/2 に従って計算する手段と、 パラメータai ,bi を式 ai =(1/2)〔(1/Ri,∞)+Ri,∞〕 bi =(ai 2 −1)1/2 に従って計算する手段と前記混合物で前記下地を所定の
膜厚Xで覆ったときの反射率Ri (m) を式 Ri (m) ={1−Ri,g 〔ai −bi ctgh(bi Si (m) X)〕}/ 〔ai −Ri,g +bi ctgh(bi Si (m) X)〕 に従って計算する手段と、 該反射率Ri (m) から前記3刺激値の予測値Xm ,Y
m ,Zm を算出する3刺激値算出手段とを含む請求項7
記載の装置。Wherein said color characteristic values are tristimulus values X, Y, Z in the XYZ color system, the first and second predicted value calculating means, the formulation C j of the colorant, the color materials Means for calculating the absorption coefficient K i (m) and the scattering coefficient S i (m) of the mixture from the absorption coefficient K i (j) and the scattering coefficient S i (j); and the intrinsic reflectance R i, ∞ Is given by the formula Ri, ∞ = 1 + (K i (m) / S i (m) ) − [(K i (m) / S i (m) ) 2 +2 (K i (m) / S i (m) )] Means for calculating according to 1/2, and the parameters a i and b i are calculated by the formula a i = (1 /) [(1 / R i, ∞) + R i, ∞] b i = (a i 2 -1) ) The reflectance R i (m) when the base is covered with a predetermined thickness X by the means for calculating according to 1/2 and the mixture is calculated by the formula R i (m) = {1−R i, g [ ai follow the -b i ctgh (b i S i (m) X) ]} / [a i -R i, g + b i ctgh (b i S i (m) X) ] Means for calculating the predicted value X m of the tristimulus values from the reflectance R i (m), Y
m, claim 7 including a tristimulus value calculation means for calculating a Z m
The described device.
地の反射率を分光光度計によりそれぞれ測定する手段
と、測定された反射率について、内面反射及び分光光度
計の反射率測定装置の照明、受光条件に由来する鏡面反
射に関する補正を行なう手段とを含み、 前記3刺激値算出手段は、前記反射率Ri (m) につい
て、分光光度計で実測される反射率に置き換えることを
目的に内面反射及び分光光度計の反射率測定装置の照
明、受光条件に由来する鏡面反射に関する逆補正を行な
う手段を含む請求項8記載の装置。9. The measuring means includes means for measuring the reflectance of the color sample and the base using a spectrophotometer, and illumination of an internal reflection and reflectance measuring device of the spectrophotometer for the measured reflectance. Means for performing correction on specular reflection derived from light receiving conditions, wherein the tristimulus value calculating means aims at replacing the reflectance R i (m) with a reflectance actually measured by a spectrophotometer. 9. The apparatus according to claim 8, further comprising means for performing an inverse correction on the specular reflection derived from the illumination and light receiving conditions of the internal reflection and the reflectance measuring device of the spectrophotometer.
前記色見本は肌の色素正常部位である請求項6記載の装
置。10. The base is a skin abnormal pigment site,
7. The apparatus according to claim 6, wherein the color sample is a normal pigment site on the skin.
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JP2002020644A (en) * | 2000-07-07 | 2002-01-23 | Toppan Printing Co Ltd | Method of preparing coloring material |
US6982108B2 (en) | 2002-10-02 | 2006-01-03 | 3M Innovative Properties Company | Color-matching article |
US6717673B1 (en) | 2002-10-02 | 2004-04-06 | 3M Innovative Properties Company | Method of color-matching |
CN111447870A (en) * | 2017-12-15 | 2020-07-24 | 索尼公司 | Image processing apparatus, image processing method, and program |
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