CN105975655B - A kind of imitative Tang and Song Dynasty ancient architecture abnormity roofing tile parametric modeling method based on BIM - Google Patents
A kind of imitative Tang and Song Dynasty ancient architecture abnormity roofing tile parametric modeling method based on BIM Download PDFInfo
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Abstract
The present invention relates to a kind of imitative Tang and Song Dynasty ancient architecture abnormity roofing tile parametric modeling method based on BIM, curved surface adaptive characteristic point curved surface vector tangent line is generated by Bezier curve formula and Bezier curved surface variable formula, and it is associated with roofing semicircular tile component and forms parametrization roofing semicircular tile race, roof structure plane is generated by establishing the roof structure scale of construction, roof structure plane is divided using UV coordinate system, form the spatially adaptive dot grid unit of corresponding each semicircular tile, it is loaded into semicircular tile race and is associated with each grid cell, form roofing.The present invention optimizes the parametric modeling work on ancient architecture abnormity roof, to reduce the repeated work of ancient architecture roof modeling, the 3-D effect of lower shape size is arranged in instant playback relevant parameter, and design is intuitive, facilitates the rapid modeling of designer.Design science of the present invention is reasonable, is skillfully constructed, and effectively improves working efficiency, and models intuitive, the value with wide popularization and application.
Description
Technical field
The invention belongs to building field, especially a kind of imitative Tang and Song Dynasty ancient architecture abnormity roofing tile parametric modeling based on BIM
Method.
Background technique
BIM (Building Information Modeling) is a kind of Building Information Model, is to be applied to engineering design
The digitization tool for building management, the relevant information of various projects is integrated by parameter model, in project planning, operation and maintenance
Lifecycle process in shared and transmitted, by building industry chain links participate in jointly come to building data into
Row constantly insertion, it is complete, abundant, and for each related side come extract use, reach green low-carbon design, green construction, at
This control facilitates the purpose of operation maintenance.In the operational process of whole system, it is desirable that owner, design side, management side, total packet
Side, subcontractor, supplier by all kinds of means with multi-faceted coordination, and by online file management collaborative platform carry out daily maintenance and
Management.BIM system administration runs through design, construction, the operation of building, includes more units such as design side, construction party, Construction Party
Work.
In July, 2014 house and the publication of town and country construction portion " house town and country construction portion construction industry development and changes about promoting
Several opinions of leather " in propose to promote the information technologies such as Building Information Model (BIM) complete in engineering design, construction and operation and maintenance
The application of process improves comprehensive benefit.And try to explore to carry out the work such as white figure substitution blueprint, digitlization check of drawings, establishing techniques
Research application is effectively connected the transformation of scientific and technical result with standard formulation, accelerates the popularization and application of advanced and applicable technology.
" about the instruction for promoting Building Information Model application " of publication in 2015 is to implement 2011 and 2,014 two
The spirit of file, it may be said that be clearly to propose BIM in the developing goal of construction industry and the specific work of each participant for the first time
Make, is of great significance to the development of BIM.The transition and upgrade and healthy and sustainable development of Building Trade in China will constantly be pushed.
Chinese ancient architecture has the features such as combination of the building of its componentization, the scale of modularization and characterization, is a kind of base
In the design and build process of " parametrization " on specific dimensions member base.Establish the ancient building structural part model of parametrization, setting
The main driving parameter for influencing ancient architecture shape and scale realizes main driving parameter to composition component shape, size on this basis
The parametric modeling work of ancient architecture can be realized in the adjustment of position, distance, amount between control and component.
Currently, ancient architecture roof modeling process there are the problem of are as follows:
1, operating procedure is complicated, cumbersome, is unable to instant playback 3-D effect, causes modeling speed slow.
2, ancient architecture roofing model is not available Autodesk revit system roofing to be modeled.
3, the modeling ability of race's model is poor, and working efficiency is low.
4, model part details does not meet design idea, can not practical application.
By retrieval, patent document related with the present patent application is not yet found.
Summary of the invention
It is an object of the invention to overcome the deficiencies of the prior art and provide a kind of easy to operate, modeling speed it is fast based on
The imitative Tang and Song Dynasty ancient architecture abnormity roofing tile parametric modeling method of BIM.
The scheme of the invention is be achieved:
A kind of imitative Tang and Song Dynasty ancient architecture abnormity roofing tile parametric modeling method based on BIM, includes the following steps:
Step 1: constructing roofing entirety curved surface by scale of construction frame line；
Step 2: establish roofing tile separation, integral roofing is divided into the grid cell of corresponding every semicircular tile position, then by
The auto-adaptive parameter roofing semicircular tile race of creation is associated with replacement；
Parametrization roofing semicircular tile race is defined by two formula first:
(1) four side feature Bezier curved surfaces are established
Bezier curve formula are as follows:
0≤t≤1
Wherein: PiIt is the position vector on characteristic polygon vertex；
Bi,nIt (t) is Bornstein basic function；
P (t) is Bezier track；
T is length of curve ratio；
Bezier curved surface-is by the constituted mesh definition of the design point on polygon facet
Characteristic polygon Bezier curved surface --- the polygon for defining the n side composition of n times Bezier curve sketches out pair
Answer the shape of curve；
The feature Bezier curved surface of corresponding roofing grid dividing is established by four connected Bezier curves, i.e. four sides are special
Levy Bezier curved surface；
(2) the characteristic point changed with moving surface is established on four side feature Bezier curved surface sidelines, and concrete operations are as follows:
Bezier curved surface variable formula is as follows: definition: m × surface of degree n formula is
(0≤u,v≤1)
The number of wherein-m, n decision patch；
BI, m(u)、BJ, nIt (v) is Bornstein basic function；
Qi,jIt is Control vertices (m+1) × (n+1)；
P (u, v) is Bezier variate-value；
U is u direction coordinate value, and v is the direction v coordinate value；
Above-mentioned formula defines the variation of Bezier curved surface sideline point and drives the variation of entirety Bezier curved surface；
A characteristic point is added respectively on the opposite sideline midpoint of four built side feature Bezier curved surfaces；
(3) self-adaptive features point is formed by the intersection point of connection features point and four side feature Bezier curved surfaces, further according to four sides
Self-adaptive features point creates Surfaces vector tangent line on feature Bezier curved surface；
(4) semicircular tile shape then is established by center line of curved surface vector tangent line, forms roofing semicircular tile auto-adaptive parameter race,
Cylinder is exactly the parametrization roofing semicircular tile race that the adaptive various planes of bending of energy are established in figure；
(5) roofing tile separation is established, and creation UV mapping, forms roofing point on the roofing entirety curved surface created in step 1
Every；
Step 3: adding roofing tile using adaptive component parameter race, corresponding each UV texture cell surface filling is raw
At semicircular tile component, roofing is formed；
Step 4: finally generating the foundation of whole ancient architecture roofing tile model using the symmetry module of BIM modeling.
Moreover, in the step 2 step by step (5) specific steps are as follows:
(1) UV 2 d texture coordinate system is established；
(2), using UV 2 d texture as mark point, the corresponding points of grain surface are controlled；
Using UV 2 d texture as mark point, the point for controlling grain surface is corresponding with the point on grid, i.e., by upper
It states publicity 1 and formula 2 forms the adaptive point of space curved surface, form the layout rules of parametrization tile, separate to corresponding roofing
Grid cell afterwards.
The advantages and positive effects of the present invention are:
1, the present invention generates curved surface adaptive characteristic point song by Bezier curve formula and Bezier curved surface variable formula
Face vector tangent line, and be associated with roofing semicircular tile component and form parametrization roofing semicircular tile race, room is generated by establishing the roof structure scale of construction
Face structural plan divides roof structure plane using UV coordinate system, forms the spatially adaptive dot grid list of corresponding each semicircular tile
Member is loaded into semicircular tile race and is associated with each grid cell, forms roofing.
2, the parametric modeling work on present invention optimization ancient architecture abnormity roof, to reduce the repetition of ancient architecture roof modeling
The 3-D effect of lower shape size is arranged in work, instant playback relevant parameter, and design is intuitive, facilitates the fast run-up of designer
Mould.
3, solve the problems, such as that ancient architecture roofing model is not available Autodesk revit system roofing to be modeled.
4, the modeling ability for enhancing race's model establishes corresponding ancient architecture roof parametrization framework and thin portion component model, from
And improve race's model library of ancient architecture roof parametric modeling.
5, design science of the present invention is reasonable, is skillfully constructed, and effectively improves working efficiency, and models intuitively, has and is widely popularized
The value of application.
Detailed description of the invention
Fig. 1 is the more curved surface scale of construction frame diagrams of roofing of the invention；
Fig. 2 is Bezier curve surface chart in the present invention；
Fig. 3 is self-adaptive features point vector tangent line figure on Bezier curved surface in the present invention；
Fig. 4 is that the present invention generates parametrization roofing semicircular tile race figure；
Fig. 5 is roofing tile scale of construction UV separation figure in the present invention；
Fig. 6 is that the present invention generates filling semicircular tile race figure；
Fig. 7 is that the present invention generates ancient architecture roofing vatu；
Nine kinds of topological relation figures of Fig. 8.
Specific embodiment
The invention will be further described with reference to the accompanying drawing and by specific embodiment.
A kind of imitative Tang and Song Dynasty ancient architecture abnormity roofing tile parametric modeling method based on BIM, includes the following steps:
Step 1: constructing roofing entirety curved surface by scale of construction frame line, as shown in Figure 1；
Step 2: establishing roofing tile separation, the purpose is to integral roofing is divided into the grid of corresponding every semicircular tile position
Unit, then the association replacement of the auto-adaptive parameter roofing semicircular tile race by creating.The step is core of the invention committed step, tool
Gymnastics is made as follows:
Before establishing roofing tile and separating, parametrization roofing semicircular tile race is defined by two formula first:
1, four side feature Bezier curved surfaces are initially set up
Parametric surface is modeled on the boundary mesh of topological rectangle using mixed function in vertical and horizontal two to boundary song
The curve construction curved surface to smoothly transit is constructed between line and forms Bezier curved surface, as shown in Fig. 2, Bezier curve is by two endpoints
Not on curve but it can determine the point of curve shape with several to determine.
Bezier curve formula are as follows:
0≤t≤1
Wherein: PiIt is the position vector on characteristic polygon vertex；
Bi,nIt (t) is Bornstein basic function；
P (t) is Bezier track；
T is length of curve ratio；
Bezier curved surface-is by the constituted mesh definition of the design point on polygon facet.
Characteristic polygon Bezier curved surface --- the polygon for defining the n side composition of n times Bezier curve is substantially delineated
The shape of homologous thread out.
Feature Bezier curved surface (the four side features of corresponding roofing grid dividing are established by four connected Bezier curves
Bezier curved surface).
2, the feature changed with moving surface is established on the established four sides feature Bezier curved surface sideline of above-mentioned steps 1
Point, concrete operations are as follows:
Bezier curved surface variable formula is as follows: definition: m × surface of degree n formula is
(0≤u,v≤1)
Wherein -- the number of m, n decision patch；
Bi,m(u)Bj,nIt (v) is Bornstein basic function
Qi,jIt is Control vertices (m+1) × (n+1)；
P (u, v) is Bezier variate-value；
U is u direction coordinate value, and v is the direction v coordinate value；
Above-mentioned formula defines the variation of Bezier curved surface sideline point and drives the variation of entirety Bezier curved surface.
A characteristic point is added respectively on the opposite sideline midpoint of four built side feature Bezier curved surfaces.
3, self-adaptive features point is formed by the intersection point of connection features point and four side feature Bezier curved surfaces, further according to four sides
Self-adaptive features point creates Surfaces vector tangent line on feature Bezier curved surface, as shown in figure 3,1 being characterized a little in Fig. 3,2 are characterized
Point curved surface vector tangent line, 3 be Bezier curved surface sideline.
4, semicircular tile shape then is established by center line of curved surface vector tangent line, forms roofing semicircular tile auto-adaptive parameter race,
As shown in figure 5, cylinder is exactly the roofing semicircular tile parametrization roofing semicircular tile race that the adaptive various planes of bending of energy are established in figure.
5, roofing tile separation is established, creation UV mapping, forms roofing point on the roofing entirety curved surface created in step 1
Every, as shown in figure 5, specific steps are as follows:
5.1 establish UV 2 d texture coordinate system
UV (specific U-VEEZ) is 2 d texture coordinate, is believed with the vertex component of polygon and subdivision curved surface grid
Breath.UV exists, for defining 2 d texture coordinate system, referred to as " UV texture space ".UV texture space is referred to using letter U and V
Show the axis in two-dimensional space.UV texture space helps for image texture textures to be placed on 3D curved surface.The importance of UV embodies
In the connection that they provide surface mesh and how to be mapped to image texture between surface mesh.
5.2 using UV 2 d texture as mark point, controls the corresponding points of grain surface
Using UV 2 d texture as mark point, for controlling those of grain surface point (pixel) and point those of on grid
(vertex) is corresponding.That is, forming the adaptive point of space curved surface by above-mentioned two formula, the layout rules of parametrization tile are formed,
Grid cell after separating to corresponding roofing.
Step 3: adding roofing tile using adaptive component parameter race, corresponding each UV texture cell surface filling is raw
At semicircular tile component, as shown in fig. 6, forming roofing.
Step 4: finally generating the foundation of whole ancient architecture roofing tile model (as schemed using the symmetry module of BIM modeling
It 7), is octagonal roof in the present embodiment.
Modeling principle of the invention:
Roofing tile modeling method reflects shape and the position of object using geological information and topology information.As shown in figure 8, room
The topology and geological information in face are that inter-related, different topological relation needs different geological informations.Rigid body translation does not change
Become the shape of roofing tile, only changes the position and direction of object.For the geometric transformation for keeping topological relation constant, not only change
The position and direction of object, and change the shape of object or even the element in transformation matrix can not be constant, but certain
Kind functional relation, thus can expand the domain of roofing tile covering.The most basic geometric element of roofing tile curved surface includes point, line, surface.
As space any point can use three coordinate components definition in rectangular coordinate system；For a space line, it can be used
Two endpoints space coordinate definition；Face can be plane or curved surface, and plane can be defined with the set of orderly arris line.But
Be only to indicate that object is insufficient with geological information, often will appear the ambiguity in object expression, i.e., it can to same solid
There can be different understanding.Therefore, for roofing tile surface geometry modeling, in order to guarantee describe object integrality and
The tightness of mathematics, it is necessary to while providing geological information and topology information.Topology information refers to the topology element (top of an object
Point, side and surface) quantity, type and mutual syntople.It can be closed using nine kinds of topologys between topology element
System indicates (such as Fig. 8).
It is emphasized that embodiment of the present invention be it is illustrative, without being restrictive, therefore packet of the present invention
Include and be not limited to embodiment described in specific embodiment, it is all by those skilled in the art according to the technique and scheme of the present invention
The other embodiments obtained, also belong to the scope of protection of the invention.
Claims (2)
1. a kind of imitative Tang and Song Dynasty ancient architecture abnormity roofing tile parametric modeling method based on BIM, it is characterised in that: including walking as follows
It is rapid:
Step 1: constructing roofing entirety curved surface by scale of construction frame line；
Step 2: establishing roofing tile separation, integral roofing is divided into the grid cell of corresponding every semicircular tile position, then by creating
Auto-adaptive parameter roofing semicircular tile race be associated with replacement；
Parametrization roofing semicircular tile race is defined by two formula first:
(1) four side feature Bezier curved surfaces are established:
Bezier curve formula are as follows:
Wherein: PiIt is the position vector on characteristic polygon vertex；
Bi,nIt (t) is Bornstein basic function；
P (t) is Bezier track；
T is length of curve ratio；
Bezier curved surface-is by the constituted mesh definition of the design point on polygon facet；
Characteristic polygon Bezier curved surface --- the polygon for defining the n side composition of n times Bezier curve sketches out corresponding song
The shape of line；
The feature Bezier curved surface of corresponding roofing grid dividing, i.e. four side features are established by four connected Bezier curves
Bezier curved surface；
(2) the characteristic point changed with moving surface is established on four side feature Bezier curved surface sidelines, and concrete operations are as follows:
Bezier curved surface variable formula is as follows: definition: m × surface of degree n formula are as follows:
The number of wherein-m, n decision patch；
BI, m(u)、BJ, nIt (v) is Bornstein basic function；
Qi,jIt is Control vertices (m+1) × (n+1)；
P (u, v) is Bezier variate-value；
U is u direction coordinate value, and v is the direction v coordinate value；
Above-mentioned formula defines the variation of Bezier curved surface sideline point and drives the variation of entirety Bezier curved surface；
A characteristic point is added respectively on the opposite sideline midpoint of four built side feature Bezier curved surfaces；
(3) self-adaptive features point is formed by the intersection point of connection features point and four side feature Bezier curved surfaces, further according to four side features
Self-adaptive features point creates Surfaces vector tangent line on Bezier curved surface；
(4) semicircular tile shape then is established by center line of curved surface vector tangent line, form roofing semicircular tile auto-adaptive parameter race；
(5) roofing tile separation is established, and creation UV mapping on the roofing entirety curved surface created in step 1 forms roofing and separates；
Step 3: adding roofing tile using adaptive component parameter race, corresponding each UV texture cell surface filling generates cylinder
Watt component forms roofing；
Step 4: finally generating the foundation of whole ancient architecture roofing tile model using the symmetry module of BIM modeling.
2. the imitative Tang and Song Dynasty ancient architecture abnormity roofing tile parametric modeling method according to claim 1 based on BIM, feature exist
In: in the step 2 step by step (5) specific steps are as follows:
(1) UV 2 d texture coordinate system is established；
(2), using UV 2 d texture as mark point, the corresponding points of grain surface are controlled；
Using UV 2 d texture as mark point, the point for controlling grain surface is corresponding with the point on grid, that is, passes through above-mentioned public affairs
Formula 1 and formula 2 form the adaptive point of space curved surface, form the layout rules of parametrization tile, after separating to corresponding roofing
Grid cell.
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| CN107423482A (en) * | 2017-06-08 | 2017-12-01 | 广州铭瀚建筑科技有限公司 | A kind of roof sheet tile modeling method and system based on Revit platforms |
| CN107292065A (en) * | 2017-08-11 | 2017-10-24 | 中国建筑第八工程局有限公司 | A kind of quick composing system of floor tile based on BIM technology and method |
| CN108629117A (en) * | 2018-05-08 | 2018-10-09 | 中国二十二冶集团有限公司 | Large-span steel arching surface grids layer Steel Structure modeling method based on Rhino platforms |
| CN111428286A (en) * | 2018-12-20 | 2020-07-17 | 汉能移动能源控股集团有限公司 | Building component model arrangement method and system |
| CN110685408A (en) * | 2019-09-10 | 2020-01-14 | 南通四建集团有限公司 | Construction method and structure of sector and triangular metal roof panel based on BIM |
| CN112464353A (en) * | 2020-12-18 | 2021-03-09 | 中国二十冶集团有限公司 | BIM-based modeling method and system for special-shaped wall |
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