CN110427704A - A kind of Python parametrization method for automatic modeling of 57 facet circular bright polished gemstone - Google Patents
A kind of Python parametrization method for automatic modeling of 57 facet circular bright polished gemstone Download PDFInfo
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- CN110427704A CN110427704A CN201910716695.6A CN201910716695A CN110427704A CN 110427704 A CN110427704 A CN 110427704A CN 201910716695 A CN201910716695 A CN 201910716695A CN 110427704 A CN110427704 A CN 110427704A
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Abstract
The invention discloses a kind of Python of 57 facet circular bright polished gemstones to parameterize method for automatic modeling, including following modeling procedure: (a) constructing three-dimensional space rectangular coordinate system, defining 57 facet circular bright polished gemstone bottom surfaces is origin, eight parameters are defined, the three-dimensional coordinate on 41 vertex in 57 facet circular bright polished gemstones is derived；(b) it calls the turn in Python machine word to eight parameter assignments, realizes the full-automatic calculating of the three-dimensional coordinate on 41 vertex in 57 facet circular bright polished gemstones；(c) 57 facets of circular bright polished gemstone are generated using Python computer language and exports diamond three-dimensional model diagram；(d) file of OBJ format is generated using Python computer language；(e) obj file can be transferred numerous 3D modeling rendering softwares, such as 3D MAX, MAYA, Pro/E etc. are further processed as needed；(f) six cutting ratios on GIA certificate are calculated using Python computer language.Using the modeling method of the present patent application, successively defeated eight parameter values in Python software can construct gemstone model automatically, generate 3D effect figure, obtain six cutting ratios on GIA certificate.Operator gets rid of the dependence to professional 3D modeling rendering software, and chiseling shape professional knowledge without jewel can be completed jewel modeling, greatly improves working efficiency.
Description
Technical field
The present invention relates to a kind of computer language modeling methods, and more specifically, being that a kind of 57 facets circle is bright chisels
The Python of type jewel parameterizes method for automatic modeling.
Background technique
Circular bright polished gemstone, also known as standard become clear formula cut jewel, are the most commonly used styles of jewel currently on the market.
The circular bright polished gemstone of standard is made of bizet and pavilion portion, during gem processing, usually uses computer modeling before this,
It is processed again, finally calculates the relevant parameter of finished product.
In the prior art, the bright diamond modeling of traditional circle needs the 3D modeling software using the profession such as Pro/E, wherein can
Use parameter in detail below: waistline diameter (D, unit: mm), upper central plane inclination angle (β ', unit: °), Guan Jiao (β, unit: °), platform
Face width (a, unit: mm) or platform it is wide than (M, unit: %), girdle thickness (BMIN, unit: mm), lower waist facet inclination angle (ρ ',
Unit: °) and pavilion angle (ρ, unit: °).Specific step is as follows for modeling:
(1) suitable " machining allowance " is selected to establish cylinder according to the size of circular bright polished gemstone waistline diameter (D)
Base；
(2) successively mouse-based operation goes out each facet of bizet of circular bright polished gemstone in cylindrical blank " cutting " in order；
(3) successively mouse-based operation goes out each facet in pavilion portion of circular bright polished gemstone in cylindrical blank " cutting " in order；
Above-mentioned traditional modeling method requirement operator skillfully grasps the use of these softwares.There is one kind to change on herein at present
Good method: a kind of method of the Pro/Engineer software rapid modeling of circular bright polished gemstone, inventor weaken circle
Dependence during bright diamond 3D modeling to Pro/E technology, it is only necessary to relevant parameter is inputted in Pro/E, but still
Pro/E cannot be got rid of, in particular by the restriction of preset model in Pro/E.
The present invention is then further on this basis, has completely disengaged the dependence to professional softwares such as Pro/E, operator
The software developed in this patent with Python computer language is run, inputting several parameters can be obtained 3D model and cutting ratio
Example.Operation is further simplified, arbitrarily adjusting parameter can generate corresponding Diamond Model, jewel is greatly improved and chisels shape and build
The working efficiency of mould.Diamond Model can also be stored as OBJ formatted file by the invention simultaneously, and operator is facilitated further to adjust
With.
Summary of the invention
The purpose of the present invention is to provide a kind of Python parametrizations of 57 facet circular bright polished gemstones to build automatically
Mould method after inputting some parameters in the software that the present invention develops, fast automatic can construct 3D treasured using this method
Stone model obtains cutting ratio.
The technical solution adopted by the invention is as follows:
A kind of Python parametrization method for automatic modeling of 57 facet circular bright polished gemstone, including following modeling step
It is rapid:
(1) three-dimensional space rectangular coordinate system is constructed using Python computer language, defines 57 facets circle and become clear and chisels
Type culet is origin, defines eight parameters.50 are derived using mathematical formulae according to eight parameter values artificially provided
The three-dimensional coordinate on 41 vertex in seven facet circular bright polished gemstones；
(2) it calls the turn in Python machine word to eight parameter assignments, realizes in 57 facet circular bright polished gemstones
The full-automatic calculating of the three-dimensional coordinate on 41 vertex；
(3) circular bright polished gemstone is automatically generated with 41 vertex in step (2) using Python computer language
57 facets and export diamond three-dimensional model diagram；
(4) use Python computer language by the three-dimensional coordinate and step on 41 vertex calculated in step (2)
Suddenly 57 facets generated in (3) are exported automatically as obj file format；
(5) obj file generated in step (4) can be transferred numerous 3D modeling rendering softwares, for example, 3D MAX, MAYA,
Pro/E etc. is further processed as needed；
(6) Python computer language is used, is gone out on GIA certificate according to eight parameter value calculations inputted in step (2)
Six cutting ratios.
Eight parameters defined in step (1) are successively are as follows:
(1) height (n) for the octagon that the point line of central plane apex angle is formed under；
(2) half (m) of the catercorner length for the octagon that the point line of central plane apex angle is formed under；
(3) height (q) of positive ten hexagon of waist；
(4) half (r) of the catercorner length of positive ten hexagon of waist；
(5) vertical range (p) between table top and central plane；
(6) half (z) of the catercorner length for the octagon that the point line of star facet apex angle is formed；
(7) vertical range (s) for the octagon that the point line of table top and star facet apex angle is formed；
(8) half (t) of the catercorner length of table top；
Note: the height of table top are as follows: (p+q), the height for the octagon that the point line of star facet apex angle is formed are as follows: (p+q-
s)。
The three-dimensional coordinate on 41 vertex described in step (2) is respectively as follows:
(1)
(2)
(3)
(4)
(5)；
(6)
(7)
(8)
(9) F (0, z, p+q-s)；
(10) F1 (0 ,-z, p+q-s)；
(11) G (z, 0, p+q-s)；
(12) G1 (- z, 0, p+q-s)；
(13)
(14)
(15)
(16)
(17) (0, r, q) I；
(18) I1 (0 ,-r, q)；
(19) J (r, 0, q)；
(20) J1 (- r, 0, q)；
(21)
(22)
(23)
(24)
(25)
(26)
(27)
(28)
(29)
(30)
(31)
(32)
(33) (0, m, n) N；
(34) N1 (0 ,-m, n)；
(35)
(36)
(37)
(38)
(39) P (m, 0, n)；
(40) P1 (- m, 0, n)；
(41) (0,0,0) Q.
Six cutting ratios described in step (6) are as follows:
(1) the wide ratio=t/r of platform；
(2) full depth ratio=(p+q)/(2*r)；
(3) Guan Jiao=arctan (p/ (r-t))；
(4) pavilion angle=arctan (q/r)；
(5) crown height ratio=p/ (2*r)；
(6) pavilion depth ratio=q/ (2*r).
Compared with prior art, the present invention has the advantage that are as follows:
The present invention is a kind of Python parametrization method for automatic modeling of 57 facet circular bright polished gemstones, completely de-
Use from the profession such as Pro/E 3D mapping software, operator run in this patent with the exploitation of Python computer language
Software, inputting several parameters can be obtained 3D model and cutting ratio.This further improves the convenience of operation and reduces
Operation difficulty.Diamond Model can also be stored as OBJ formatted file by the invention simultaneously, and operator is facilitated further to call.
Detailed description of the invention
Fig. 1 is the jewel 3D model schematic established using the method for the present invention.
Fig. 2,3,4 are eight parametric geometries meaning schematic diagrames described in the present invention.
Fig. 5,6 are 41 vertex position schematic diagrames described in the method for the present invention.
Specific embodiment
With reference to embodiment, technical solution of the present invention is described in further detail, but do not constituted pair
Any restrictions of the invention.
A kind of Python parametrization method for automatic modeling of 57 facet circular bright polished gemstone, including following modeling step
It is rapid:
(1) three-dimensional space rectangular coordinate system is constructed, 57 facet circular bright polished gemstone bottom surfaces of definition are origin, definition
Eight parameters derive 57 facet circular bright polished gemstones using mathematical formulae according to eight parameter values artificially provided
The three-dimensional coordinate on upper 41 vertex；
Eight parameters of definition are respectively:
(1) height (n) for the octagon that the point line of central plane apex angle is formed under；
(2) half (m) of the catercorner length for the octagon that the point line of central plane apex angle is formed under；
(3) height (q) of positive ten hexagon of waist；
(4) half (r) of the catercorner length of positive ten hexagon of waist；
(5) vertical range (p) between table top and central plane；
(6) half (z) of the catercorner length for the octagon that the point line of star facet apex angle is formed；
(7) vertical range (s) for the octagon that the point line of table top and star facet apex angle is formed；
(8) half (t) of the catercorner length of table top；
Note: the height of table top are as follows: (p+q), the height for the octagon that the point line of star facet apex angle is formed are as follows: (p+q-
s)。
(2) it calls the turn in Python machine word to eight parameter assignments, realizes in 57 facet circular bright polished gemstones
The full-automatic calculating of the three-dimensional coordinate on 41 vertex, the calculation formula of the three-dimensional coordinate on 41 vertex is:
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9) F (0, z, p+q-s)；
(10) F1 (0 ,-z, p+q-s)；
(11) G (z, 0, p+q-s)；
(12) G1 (- z, 0, p+q-s)；
(13)
(14)
(15)
(16)
(17) (0, r, q) I；
(18) I1 (0 ,-r, q)；
(19) J (r, 0, q)；
(20) J1 (- r, 0, q)；
(21)
(22)
(23)
(24)
(25)
(26)
(27)
(28)
(29)
(30)
(31)
(32)
(33) (0, m, n) N；
(34) N1 (0 ,-m, n)；
(35)
(36)
(37)
(38)
(39) P (m, 0, n)；
(40) P1 (- m, 0, n)；
(41) (0,0,0) Q.
(3) circular bright polished gemstone is automatically generated with 41 vertex in step (2) using Python computer language
57 facets and export diamond three-dimensional model diagram；
(4) use Python computer language by the three-dimensional coordinate and step on 41 vertex calculated in step (2)
Suddenly 57 facets generated in (3) are exported automatically as obj file format；
(5) obj file generated in step (4) can be transferred numerous 3D modeling rendering softwares, for example, 3D MAX, MAYA,
Pro/E etc. is further processed as needed；
(6) Python computer language is used, is gone out on GIA certificate according to eight parameter value calculations inputted in step (2)
Six cutting ratios.
Calculate resulting six cutting ratios are as follows:
(1) the wide ratio=t/r of platform；
(2) full depth ratio=(p+q)/(2*r)；
(3) Guan Jiao=arctan (p/ (r-t))；
(4) pavilion angle=arctan (q/r)；
(5) crown height ratio=p/ (2*r)；
(6) pavilion depth ratio=q/ (2*r).
In order to which the purpose of the present invention, operating procedure and advantage is more clearly understood, implement below in conjunction with attached drawing and modeling
Case, the present invention will be described in further detail.It should be appreciated that specific example described herein is only used to explain this
Invention, is not intended to limit the present invention.
Eight parameters are inputted according to following numerical value:
| Title | Numerical value | Symbol |
| The height for the octagon that the point line of lower central plane apex angle is formed | 0.18 | n |
| The half of the catercorner length for the octagon that the point line of lower central plane apex angle is formed | 0.18 | m |
| The height of positive ten hexagon of waist | 0.6 | q |
| The half of the catercorner length of positive ten hexagon of waist | 0.55 | r |
| Vertical range between table top and central plane | 0.32 | p |
| The half of the catercorner length for the octagon that the point line of star facet apex angle is formed | 0.45 | z |
| The vertical range for the octagon that the point line of table top and star facet apex angle is formed | 0.12 | s |
| The half of the catercorner length of table top | 0.3 | t |
41 apex coordinates obtained are as follows:
The OBJ formatted file content of output are as follows:
v 0.114805 0.300000 0.920000
v -0.114805 0.300000 0.920000
v -0.114805 -0.300000 0.920000
v 0.114805 -0.300000 0.920000
v 0.300000 0.114805 0.920000
v -0.300000 0.114805 0.920000
v -0.300000 -0.114805 0.920000
v 0.300000 -0.114805 0.920000
v 0 0.450000 0.800000
v 0 -0.450000 0.800000
v 0.450000 0 0.800000
v -0.450000 0 0.800000
v 0.318198 0.318198 0.800000
v -0.318198 0.318198 0.800000
v -0.318198 -0.318198 0.800000
v 0.318198 -0.318198 0.800000
v 0 0.550000 0.600000
v 0 -0.550000 0.600000
v 0.550000 0 0.600000
v -0.550000 0 0.600000
v 0.210476 0.508134 0.600000
v -0.210476 0.508134 0.600000
v -0.210476 -0.508134 0.600000
v 0.210476 -0.508134 0.600000
v 0.388909 0.388909 0.600000
v -0.388909 0.388909 0.600000
v -0.388909 -0.388909 0.600000
v 0.388909 -0.388909 0.600000
v 0.508134 0.210476 0.600000
v -0.508134 0.210476 0.600000
v -0.508134 -0.210476 0.600000
v 0.508134 -0.210476 0.600000
v 0 0.180000 0.180000
v 0 -0.180000 0.180000
v 0.127279 0.127279 0.180000
v -0.127279 0.127279 0.180000
v -0.127279 -0.127279 0.180000
v 0.127279 -0.127279 0.180000
v 0.180000 0 0.180000
v -0.180000 0 0.180000
v 0 0 0
f 2 6 7 3 4 8 5 1
f 1 9 2
f 5 13 1
f 8 11 5
f 4 16 8
f 10 4 3
f 15 3 7
f 12 7 6
f 6 2 14
f 1 13 21 9
f 11 29 13 5
f 8 16 32 11
f 16 4 10 24
f 10 3 15 23
f 15 7 12 31
f 12 6 14 30
f 22 14 2 9
f 21 17 9
f 25 21 13
f 29 25 13
f 19 29 11
f 32 19 11
f 28 32 16
f 24 28 16
f 18 24 10
f 23 18 10
f 15 27 23
f 31 27 15
f 12 20 31
f 30 20 12
f 14 26 30
f 22 26 14
f 9 17 22
f 41 33 21 35
f 35 29 39 41
f 41 39 32 38
f 41 38 24 34
f 41 34 23 37
f 41 37 31 40
f 41 40 30 36
f 41 36 22 33
f 33 17 21
f 21 25 35
f 25 29 35
f 39 29 19
f 39 19 32
f 38 32 28
f 38 28 24
f 24 18 34
f 34 18 23
f 23 27 37
f 27 31 37
f 31 20 40
f 40 20 30
f 30 26 36
f 36 26 22
f 22 17 33
Calculate resulting six cutting ratios are as follows:
(1) platform is wide compares 0.5454545454545454；
(2) complete deep ratio 0.8363636363636362；
(3) it is preced with angle 52.00126755749533；
(4) pavilion angle 47.489552921999156；
(5) crown height is than 0.2909090909090909；
(6) pavilion compares 0.5454545454545454 deeply.
Operator runs the software developed in this patent with Python computer language, and inputting eight parameters can be obtained
3D model and cutting ratio, operation is simple.Diamond Model can also be stored as OBJ formatted file by the invention simultaneously, side
Just operator further calls.
It is all made any within the scope of the spirit and principles in the present invention the foregoing is merely one embodiment of the present of invention
Modifications, equivalent substitutions and improvements etc., should all be included in the protection scope of the present invention.
Claims (4)
1. a kind of Python of 57 facet circular bright polished gemstones parameterizes method for automatic modeling, the modeling process is divided into
Following steps:
(1) three-dimensional space rectangular coordinate system is constructed, 57 facet circular bright polished gemstone bottom surfaces of definition are origin, define eight
Parameter is derived 40 in 57 facet circular bright polished gemstones according to eight parameter values artificially provided using mathematical formulae
The three-dimensional coordinate on one vertex；
(2) it calls the turn in Python machine word to eight parameter assignments, realizes 40 in 57 facet circular bright polished gemstones
The full-automatic calculating of the three-dimensional coordinate on one vertex；
(3) the five of circular bright polished gemstone is automatically generated with 41 vertex in step (2) using Python computer language
17 facets simultaneously export diamond three-dimensional model diagram；
(4) use Python computer language by the three-dimensional coordinate and step (3) on 41 vertex calculated in step (2)
57 facets of middle generation export OBJ formatted file automatically；
(5) obj file generated in step (4) can be transferred numerous 3D modeling rendering softwares, such as 3D MAX, MAYA, Pro/E
Deng being further processed as needed；
(6) Python computer language is used, six on GIA certificate are gone out according to eight parameter value calculations inputted in step (2)
A cutting ratio.
2. a kind of Python of 57 facet circular bright polished gemstone according to claim 1 parameterizes automatic modeling side
Method, which is characterized in that eight parameters described in step (1) are respectively as follows:
(1) height (n) for the octagon that the point line of central plane apex angle is formed under；
(2) half (m) of the catercorner length for the octagon that the point line of central plane apex angle is formed under；
(3) height (q) of positive ten hexagon of waist；
(4) half (r) of the catercorner length of positive ten hexagon of waist；
(5) vertical range (p) between table top and central plane；
(6) half (z) of the catercorner length for the octagon that the point line of star facet apex angle is formed；
(7) vertical range (s) for the octagon that table top and star facet vertex line are formed；
(8) half (t) of the catercorner length of table top；
Note: the height of table top are as follows: (p+q), the height for the octagon that the point line of star facet apex angle is formed are as follows: (p+q-s).
3. a kind of Python of 57 facet circular bright polished gemstone according to claim 1 parameterizes automatic modeling side
Method, which is characterized in that the three-dimensional coordinate on 41 vertex described in step (2) is respectively as follows:
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9) F (0, z, p+q-s)；
(10) F1 (0 ,-z, p+q-s)；
(11) G (z, 0, p+q-s)；
(12) G1 (- z, 0, p+q-s)；
(13)
(14)
(15)
(16)
(17) (0, r, q) I；
(18) I1 (0 ,-r, q)；
(19) J (r, 0, q)；
(20) J1 (- r, 0, q)；
(21)
(22)
(23)
(24)
(25)
(26)
(27)
(28)
(29)
(30)
(31)
(32)
(33) (0, m, n) N；
(34) N1 (0 ,-m, n)；
(35)
(36)
(37)
(38)
(39) P (m, 0, n)；
(40) P1 (- m, 0, n)；
(41) (0,0,0) Q.
4. a kind of Python of 57 facet circular bright polished gemstone according to claim 1 parameterizes automatic modeling side
Method, which is characterized in that six cutting ratios on the GIA certificate described in step (6) are as follows:
(1) the wide ratio=t/r of platform；
(2) full depth ratio=(p+q)/(2*r)；
(3) Guan Jiao=arctan (p/ (r-t))；
(4) pavilion angle=arctan (q/r)；
(5) crown height ratio=p/ (2*r)；
(6) pavilion depth ratio=q/ (2*r).
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN116502371A (en) * | 2023-06-25 | 2023-07-28 | 憨小犀(泉州)数据处理有限公司 | Ship-shaped diamond cutting model generation method |
| CN116628897A (en) * | 2023-07-24 | 2023-08-22 | 憨小犀(泉州)数据处理有限公司 | Octagonal precious stone cutting model generation method |
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| CN109614657A (en) * | 2018-11-15 | 2019-04-12 | 天津大学 | A kind of three-dimensional parameterized Geometric Modeling Method of side abrasive grinding wheel based on ABAQUS software and python language |
| CN109614727A (en) * | 2018-12-17 | 2019-04-12 | 天津大学 | Ultrasonic wave added aperture drilling grinding wheel parametric modeling method based on ABAQUS software |
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| CN106156383A (en) * | 2015-04-03 | 2016-11-23 | 北京临近空间飞行器***工程研究所 | A kind of parametrization aerodynamic configuration digital-to-analogue and structured grid automatic generation method |
| CN109614657A (en) * | 2018-11-15 | 2019-04-12 | 天津大学 | A kind of three-dimensional parameterized Geometric Modeling Method of side abrasive grinding wheel based on ABAQUS software and python language |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN116502371A (en) * | 2023-06-25 | 2023-07-28 | 憨小犀(泉州)数据处理有限公司 | Ship-shaped diamond cutting model generation method |
| CN116502371B (en) * | 2023-06-25 | 2023-09-08 | 厦门蒙友互联软件有限公司 | Ship-shaped diamond cutting model generation method |
| CN116628897A (en) * | 2023-07-24 | 2023-08-22 | 憨小犀(泉州)数据处理有限公司 | Octagonal precious stone cutting model generation method |
| CN116628897B (en) * | 2023-07-24 | 2023-09-19 | 憨小犀(泉州)数据处理有限公司 | Octagonal precious stone cutting model generation method |
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Application publication date: 20191108 |