Curved surface molding method combing interpolation type subdivision and approach type subdivision

A surface modeling and approximation technology, used in image data processing, 3D modeling, instruments, etc.

Inactive Publication Date: 2009-04-15
SUN YAT SEN UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0009] In recent years, many studies have been devoted to the fusion of various subdivision methods, such as the fusion of triangular mesh and four-sided mesh subdivision, the fusion of a little split subdivision facet split subdivision, etc., but there is still no unified form to represent the fusion of interpolated subdivision and approximate subdivision

Method used

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  • Curved surface molding method combing interpolation type subdivision and approach type subdivision
  • Curved surface molding method combing interpolation type subdivision and approach type subdivision
  • Curved surface molding method combing interpolation type subdivision and approach type subdivision

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Embodiment Construction

[0091] The present invention will be further elaborated below in conjunction with the accompanying drawings.

[0092] The basic construction process of the method of unifying and merging the approaching Catmull-Clark subdivision mode provided based on the intrinsic connection of the existing interpolation type subdivision and the approximation type subdivision and the interpolation mode based on tensor product four-point interpolation is as follows: attached figure 1 As shown, the specific implementation manner of the present invention will now be described according to specific examples.

[0093] 1) A new interpolation subdivision mode based on tensor product four-point interpolation is derived from Catmull-Clark subdivision:

[0094] Given an initial control grid P i，j 0 , for each face on the mesh, P i，j 2 is the midpoint of each face, P i，j 1 is the midpoint of each edge.

[0095] Before introducing the rules, we introduce the following notations:

[0096] Let e ​...

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Abstract

The invention discloses a surface modeling method blended by interpolation type segmentation and approximation type segmentation and belongs to the field of computer aided design and manufacturing technology. Based on the internal relation between the existing interpolation type segmentation and approximation type segmentation, the method provides a method blended by an approximable Catmull-Clark segmentation mode and an interpolation mode based on tensor product four-point interpolation, thus achieving the purpose that local interpolation segmentation curve, tessellated mesh and the tessellated mesh generated between the interpolation grids and the approximation grids can be obtained without needing to reversely obtain control vertex or to solve equations sets and solving the jump problems of 'expansion' or 'contraction' when multiresolution is used for expressing.

Description

technical field [0001] The invention relates to the technical field of computer-aided design and manufacturing, in particular to a curved surface modeling method combining interpolation subdivision and approximation subdivision. Background technique [0002] Surface modeling is one of the most active and key subject branches in CAD and computer graphics. It is an important part of CAD system and an important research content in CAGD. Representation, design, display, and analysis of surfaces. Obviously, it is much easier to analyze or simulate a model of an object with a computer than to measure or manipulate an actual object. CAD / CAM, computer graphics, computer art, animation, simulation, computer vision, robotics and other fields all use curve and surface modeling as the basis. It is used everywhere in the geometric representation of three-dimensional shapes, from the fluid dynamic analysis of airplanes, automobiles, ships, and impellers, to the industrial modeling desig...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T17/40G06T19/00
Inventor 罗笑南林淑金陈巧珍
Owner SUN YAT SEN UNIV
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