用球面混合曲率图像比较三角网格模型的相似性

马元魁 1; 张树生 2; 白晓亮 2

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用球面混合曲率图像比较三角网格模型的相似性

更新时间：2025-05-08

- 用球面混合曲率图像比较三角网格模型的相似性
- Similarity Comparison of Triangular Mesh by Spherical Hybrid Curvature Image
- 西安交通大学学报 2012年46卷第5期页码：97-101+131
- 作者机构：
  
  西安工业大学理学院,西安,710032
- 作者简介：
- 基金信息：
  
  : 2011-10-08. 作者简介: 马元魁(1980-),女,讲师. 基金项目: 国家自然科学基金资助项目(51075336);国家自然科学数学天元基金资助项目(11126199);陕西省教育厅专项基金资助项目(09JK491)
- DOI：
  中图分类号： TP391
- 网络首发：2012-05-10，
  
  纸质出版：2012
- 稿件说明：
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马元魁 1, 张树生 2, 白晓亮 2. 用球面混合曲率图像比较三角网格模型的相似性[J]. 西安交通大学学报, 2012,46(5):97-101+131.

Similarity Comparison of Triangular Mesh by Spherical Hybrid Curvature Image[J]. 2012, 46(5): 97-101+131.
马元魁 1, 张树生 2, 白晓亮 2. 用球面混合曲率图像比较三角网格模型的相似性[J]. 西安交通大学学报, 2012,46(5):97-101+131. DOI：

Similarity Comparison of Triangular Mesh by Spherical Hybrid Curvature Image[J]. 2012, 46(5): 97-101+131. DOI：

摘要

针对现有相似性比较算法对模型的局部细节特征描述不足的现状

提出了一种零亏格三角网格模型形状相似性比较的新方法.在对三角网格模型进行姿势配准以后

映射三角网格模型到单位球上

并用多种曲率生成球面混合曲率图像

然后用球面调和函数对其分解

提取一维旋转不变的形状描述子进行相似性比较.实验结果表明

采用球面混合曲率图像可以对三角网格模型中不同类型的曲面进行清楚的区分; 文中提出的方法能更细致地区别三维模型

对网格分辨率鲁棒且特征提取稳定

因此可以提高三维模型检索的有效性.

Abstract

The existing current similarity comparison algorithms cannot describe local features of models in detail

a new shape similarity comparison method of zero-genus triangular mesh models is proposed. The model is mapped onto a unit sphere after pose alignment to generate the spherical hybrid curvature image

then is decomposed by spherical harmonic function

and one-dimensional rotation invariant shape descriptor is extracted for similarity comparison. It is shown that the spherical hybrid curvature image enables to clearly discriminate different types of 3D model surfaces with robust mesh resolution and stable feature extraction.

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Keywords

references

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