2007Journal of Engineering GraphicsRequires access

Wavelet-Based Multi-Resolution Analysis of Irregular Meshes

Huang Jia-qiang

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Abstract

Lounsbery has brought out a multi-resolution analysis scheme for triangle meshes,but it can only be applied to the regular triangle meshes,and covers a remeshing of the existing 3D data.In order to solve the problem,we extend Lounsbery’s scheme by using the wavelets.In the algorithm,the irregular meshes can be directly compressed,and then multi-resolution meshes can be obtained.Based on the geometry of the processed meshes,the triangle meshes have been optimized,and the output became more similar.The results indicate that the proposed algorithm has a good speed,efficiency and practical values.

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What this paper is about

Lounsbery has brought out a multi-resolution analysis scheme for triangle meshes,but it can only be applied to the regular triangle meshes,and covers a remeshing of the existing 3D data.In order to solve the problem,we extend Lounsbery’s scheme by using the wavelets.In the algorithm,the irregular meshes can be directly compressed,and then multi-resolution meshes can be obtained.Based on the geometry of the processed meshes,the triangle meshes have been optimized,and the output became more similar.The results indicate that the proposed algorithm has a good speed,efficiency and practical values.

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Available abstract

Lounsbery has brought out a multi-resolution analysis scheme for triangle meshes,but it can only be applied to the regular triangle meshes,and covers a remeshing of the existing 3D data.In order to solve the problem,we extend Lounsbery’s scheme by using the wavelets.In the algorithm,the irregular meshes can be directly compressed,and then multi-resolution meshes can be obtained.Based on the geometry of the processed meshes,the triangle meshes have been optimized,and the output became more similar.The results indicate that the proposed algorithm has a good speed,efficiency and practical values.

Key concepts: Polygon mesh, Volume mesh, Wavelet, Computer science, Algorithm, Multiresolution analysis, Resolution (logic), Mathematics

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