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Grassmann space and recursive surface expression-based truss stress model establishing method

A modeling method and force model technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as insufficient affine space

Inactive Publication Date: 2018-10-12
GUILIN UNIV OF ELECTRONIC TECH
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Problems solved by technology

But for rational curves and surfaces, the affine space is obviously not sufficient

Method used

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  • Grassmann space and recursive surface expression-based truss stress model establishing method
  • Grassmann space and recursive surface expression-based truss stress model establishing method
  • Grassmann space and recursive surface expression-based truss stress model establishing method

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Embodiment

[0060] refer to figure 1 , a truss stress model modeling method based on Grassmann space and recursive surface expression, including the following steps:

[0061] 1) Redefine the rational L and W curves on the basis of Grassmann space and Grassmann coordinates, and give the corresponding curve formulas:

[0062] In the usual affine space, the common recursive form of the rational L curve is as follows:

[0063]

[0064] The rational L-curve basis function form can be expressed as:

[0065] In the higher one-dimensional Grassmann space, the rational L curve is mapped to a polynomial curve, and the standard expression of the rational L curve in the higher one-dimensional Grassmann space is:

[0066] ω i is the weight factor, P i is the control vertex, v i' is the weight factor;

[0067] The standard expression of the rational L curve in the higher one-dimensional Grassmann space is mapped to the affine space, and the general expression of the rational L curve is obt...

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Abstract

The invention discloses a Grassmann space and recursive surface expression-based truss stress model establishing method. The method is characterized by comprising the following steps of: 1) redefiningrational L and W curves on the basis of a Grassmann space and a Grassmann coordinate, and giving corresponding curve formulas; 2) giving curved surface formulas, on a triangular domain, of L and W curved surface on the basis of a barycentric coordinate, expanding the L and W curved surfaces from a tensor product-form rectangular domain to the triangular domain; and 3) establishing a particle truss model. According to the method, the simulation graph fitting degree and approximation precision can be improved, and grid curved surface truss stress analysis model established on the basis is simple, practical, high in correctness and good in operability, is suitable for stress analysis of rigid objects, and has ideal effect for simulation of flexible fabrics under the condition of relatively dense points.

Description

technical field [0001] The invention relates to the field of modeling of curved surfaces and curved surface force models, in particular to a method for modeling truss force models based on Grassmann space and recursive surface expression. Background technique [0002] In recent years, as people's service quality of authenticity, real-time and interaction of computer graphics is getting higher and higher, at the same time, the trend of geometric design objects to combine diversity, specificity and topology complexity is becoming more and more obvious. , computer-aided geometric design has been significantly developed. From the perspective of research fields, computer-aided geometric design technology has expanded from the traditional research of surface representation, surface intersecting and surface splicing to surface deformation, surface reconstruction, surface simplification, and surface displacement; The combination of discrete modeling divided into features and tradit...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20G06F2119/06
Inventor 朱英周李王中帅袁媛罗笑南
Owner GUILIN UNIV OF ELECTRONIC TECH
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