Method for parameterizing quadrilateral grid in conformal mode

A quadrilateral, parametric technology, applied in image data processing, 3D modeling, instrumentation, etc., can solve problems such as not taking into account the nature of the quadrilateral itself

Active Publication Date: 2014-01-01
SHENZHEN INST OF ADVANCED TECH CHINESE ACAD OF SCI
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Problems solved by technology

However, for the parameterization of quadrilateral mesh surfaces, the current practice is to further divide each quadrilateral into two triangles, and then use the parameterization method based on triangular meshes to parameterize the surface, without directly analyzing the quadrilate...

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  • Method for parameterizing quadrilateral grid in conformal mode
  • Method for parameterizing quadrilateral grid in conformal mode
  • Method for parameterizing quadrilateral grid in conformal mode

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Embodiment Construction

[0041] The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.

[0042] see figure 1 , a preferred embodiment of the present invention provides a quadrilateral grid conformal parameterization method, which is used to directly parameterize the quadrilateral grid surface, the quadrilateral grid conformal parameterization method includes the following steps:

[0043] S11. Input a quadrilateral grid.

[0044] For a three-dimensional discrete surface M 3d ={V 3d ,E 3d , Q 3d},in are the sets of vertices, edges and faces respectively, if the set Q 3d any facet in are all quadrilaterals, we call M 3d is a quadrilateral mesh surface, referred to as quadrilateral mesh S.

[0045] For the quadrilateral grid S, the quadrilateral grid conformal parameterization method provided by the present invention realizes parameterization through the following main steps: S12, performing length-preserving par...

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Abstract

The invention provides a method for parameterizing a quadrilateral grid in a conformal mode. The method is used for directly parameterizing a curved surface of the quadrilateral grid, and comprises the following steps that S11 a quadrilateral grid is input, S12 borders of the quadrilateral grid are parameterized with the length maintained to obtain a border condition, S13 an angle system of the quadrilateral grid is solved to obtain angle input of a conformal energy function, and S14 the conformal energy function is constructed, and the quadrilateral grid is grid-parameterized according to the conformal energy function. According to the method for parameterizing the quadrilateral grid in the conformal mode, the quadrilateral grid can be directly parameterized, not every quadrilateral needs to be divided to two triangles, and the curved surface is parameterized according to a triangular grid parameterizing method.

Description

technical field [0001] The invention relates to the technical field of computer graphics, in particular to a quadrilateral mesh conformal parameterization method. Background technique [0002] Mesh parameterization refers to mapping a mesh surface to the Euclidean plane, generally requiring the side length or angle to be kept constant. Mesh parameterization technology has a wide range of applications in texture mapping, mesh restoration, 3D modeling, mesh segmentation, and data fitting. At present, geometric surfaces are generally represented by two kinds of meshes: triangular meshes and quadrilateral meshes. Existing parameterization techniques mainly focus on the parameterization of triangular mesh surfaces. Representative works include: [0003] 1) Based on the discretization method of the Cauchy-Riemann equation, the Cauchy-Riemann equation is used to judge whether a mapping is a conformal mapping. The focus of such methods is how to discretize the Cauchy-Riemann equa...

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Application Information

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IPC IPC(8): G06T17/20
Inventor 谢晓华龚文勇
Owner SHENZHEN INST OF ADVANCED TECH CHINESE ACAD OF SCI
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