Reestablishing method for smooth curved surface on arbitrary quadrilateral grid

A quadrilateral and surface technology, applied in the field of surface modeling, can solve problems such as low efficiency, complex solution, poor reconstruction effect, etc.

Inactive Publication Date: 2014-11-19
NEW DIMENSION SYST
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Problems solved by technology

[0006] In order to overcome the disadvantages of complex solution, low efficiency and poor reconstruction effect of the existing piecewise continuous surface reconstruction method, the prese

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  • Reestablishing method for smooth curved surface on arbitrary quadrilateral grid
  • Reestablishing method for smooth curved surface on arbitrary quadrilateral grid
  • Reestablishing method for smooth curved surface on arbitrary quadrilateral grid

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Embodiment Construction

[0062] The present invention will be further described below in conjunction with the accompanying drawings.

[0063] refer to Figure 1 to Figure 6 , a reconstruction method for a smooth surface on an arbitrary quadrilateral mesh, including the following steps:

[0064] 1) Generation of quadrilateral boundary curves

[0065] Use the cubic B-spline curve to fit the sampling points on the boundary of the quadrilateral region to obtain the boundary curve, and use the same node vector for all the boundary curves to make the node vectors of the two opposite sides compatible, so as to reduce the complexity of the entire surface mesh. Controls the number of vertices. When generating a curve, first find out the long side on the quadrilateral grid. The long side is composed of multiple sides connected in sequence. The first and last points of the long side are singular vertices or regular vertices on the grid boundary. After obtaining the long side, take out the sampling points on e...

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Abstract

The invention relates to a reestablishing method for a smooth curved surface on an arbitrary quadrilateral grid. The reestablishing method comprises the following steps: 1) generating boundary curves of quadrilateral regions; 2) as for each quadrilateral region, generating a B spline curved surface by fitting the boundary curves and internal data points; 3) carrying out C<2> compatibility adjustment at the regular vertex and G<1> compatibility adjustment at a singular vertex; 4) carrying out C<2> stepless control on a regular boundary; 5) carrying out approximate G<1> stepless control on an irregular boundary. The reestablishing method for the smooth B spline curved surface on the arbitrary quadrilateral grid simplifies the solution, improves the efficiency, and promotes the reestablishing effect.

Description

technical field [0001] The invention belongs to the field of curved surface modeling, and relates to a method for reconstructing a smooth spliced ​​curved surface sheet on a grid after quadrilateral division. Background technique [0002] In the reverse engineering modeling of complex models with free-form surfaces such as human organs, bones, toy dolls, etc., it is difficult to express the model with a single surface patch. Usually, the original model needs to be divided into quadrilaterals first, and then each Surface reconstruction is carried out on the quadrilateral area, and the internal data points are approximated, and smooth splicing between surface patches should be achieved at the same time. Two kinds of continuity are usually used to measure the degree of smoothness: one is parameter continuity, denoted as C n ; The second is geometric continuity, denoted as G n , n refers to the continuous order. Parametric continuity means that the directional derivatives of ...

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Application Information

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IPC IPC(8): G06T17/30
Inventor 叶修梓蒋跃华陈志杨
Owner NEW DIMENSION SYST
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