Planar region parameterization construction method based on frame field

A construction method and parametric technology, applied in the field of CAD parametrization, can solve the problems of limiting CAD models and failing to achieve parametric quality.

Inactive Publication Date: 2021-01-12
HANGZHOU DIANZI UNIV
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Problems solved by technology

However, how to decompose a given CAD boundary model into several regions for parametric operation is still an open problem
At present, most of the methods are based on years of manual practical experience to perform regional decomposition, or perform regional decomposition through semi-manual and semi-automatic operations. The quality of parameterization produced by these methods is often not as expected Requirements, and these defects also limit the development of CAD model parametric direction to a certain extent

Method used

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  • Planar region parameterization construction method based on frame field
  • Planar region parameterization construction method based on frame field
  • Planar region parameterization construction method based on frame field

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Embodiment Construction

[0052] The present invention will be further described below in conjunction with drawings and embodiments.

[0053] Taking the nut as an example, a frame field-based parametric construction method of the planar region is as follows:

[0054] Step 1. Establish a two-dimensional geometric CAD model of the nut, such as figure 1 As shown, the Delaunay triangulation algorithm is used to obtain the background triangular mesh expressing the two-dimensional geometric CAD model area of ​​the nut, such as Figure 3a and Figure 3b shown; then, calculate the frame and vector of the point where the two-dimensional geometric CAD model of the nut is located on the boundary.

[0055] Among them, the frame is expressed as:

[0056]

[0057] In the formula, m=3, 0≤k≤3, the kth vector in the frame θ x as a vector The component in the x direction, θ y as a vector The component in the y direction; the calculation formula of the tangent angle z of the point on the boundary of the t...

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Abstract

The invention discloses a planar region parameterization construction method based on a frame field. Most of existing parameterization adopts artificial decomposition of sub-regions, and the quality cannot meet the requirements. The method comprises the following steps: firstly, generating a triangular background grid in a two-dimensional geometric CAD model, and calculating a frame and a vector of the two-dimensional geometric CAD model at points on a boundary; secondly, establishing a Laplace equation, and solving the Laplace equation by utilizing discretization of a Laplace-Beltellom operator to obtain vectors and frames of all points in the two-dimensional geometric CAD model; secondly, establishing and simplifying an internal streamline of the two-dimensional geometric CAD model to realize regional decomposition; and finally, constructing a Coons surface for each sub-region in the two-dimensional geometric CAD model, and smoothing all the Coons surfaces to obtain a planar region parameterized structure. According to the invention, errors caused by artificial decomposition of the sub-regions are avoided, and the parameterization generation efficiency is improved.

Description

technical field [0001] The invention belongs to the technical field of CAD parameterization, and in particular relates to a plane area parameterization construction method based on a frame field. Background technique [0002] In the parametric analysis of CAD models, a basic research direction is how to solve the parameterization problem of the calculation domain surrounded by boundaries. The quality of parameterization has a great influence on the subsequent accuracy and calculation efficiency. So far, many methods have been proposed by researchers, such as variational harmonic method, mapping method, divide and conquer technology, contour-based decomposition method, multi-faceted parameterization method and some non-standard B-spline parameterization methods Etc. In addition, in the study of plane parameterization, by giving CAD boundary model information, researchers have also given many different regional parameterization methods. [0003] For parameterization, the gene...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/17G06F30/20G06T17/10G06T17/20
CPCG06T17/10G06T17/20G06F30/17G06F30/20
Inventor 徐岗曹峰王丹丹许金兰凌然肖周芳
Owner HANGZHOU DIANZI UNIV
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