ANALYSIS OF POINT CLOUDS Using Conformal Geometric Algebra

机译：使用保形几何代数分析点云

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This paper presents some basics for the analysis of point clouds using the geometrically intuitive mathematical framework of conformal geometric algebra. In this framework it is easy to compute with osculating circles for the description of local curvature. Also methods for the fitting of spheres as well as bounding spheres are presented. In a nutshell, this paper provides a starting point for shape analysis based on this new, geometrically intuitive and promising technology.

机译：本文介绍了使用金刚石几何代数的几何直观数学框架分析点云的基础知识。在本框架中，很容易与静态圈子计算局部曲率的描述。还提出了用于配合球体以及边界球的方法。简而言之，本文提供了基于这种新的，几何直观和有前途的技术的形状分析的起点。

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《International Joint Conference on Computer Vision and Computer Graphics Theory and Applications》|2008年||共8页
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作者
Dietmar Hildenbrand; Eckhard Hitzer;
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原文格式 PDF
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中图分类 TP391.41-53;
关键词
Geometric algebra; Geometric computing; Point clouds; Osculating circle; Fitting of spheres; Bounding spheres;

机译：几何代数;几何计算;点云;圆圈;拟合球形;边界球体;

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1. Feature preserving multiresolution subdivision and simplification of point clouds: A conformal geometric algebra approach [J] . Yuan Shuai, Zhu Shuai, Li Dong‐Shuang, Mathematical Methods in the Applied Sciences . 2018,第11期

机译：保存多分辨率细分和点云简化的功能：一个共形几何代数方法
2. A Curvature-Based Descriptor for Point Cloud Alignment Using Conformal Geometric Algebra [J] . Kleppe Adam Leon, Egeland Olav Advances in applied Clifford algebras . 2018,第2期

机译：基于曲率的点云对齐的描述符，使用保形几何代数
3. Object Detection in Point Clouds Using Conformal Geometric Algebra [J] . Sveier Aksel, Kleppe Adam Leon, Tingelstad Lars, Advances in applied Clifford algebras . 2017,第3期

机译：使用保形几何代数点云的对象检测
4. ANALYSIS OF POINT CLOUDS Using Conformal Geometric Algebra [C] . Dietmar Hildenbrand, Eckhard Hitzer International Joint Conference on Computer Vision and Computer Graphics Theory and Applications . 2008

机译：使用保形几何代数分析点云
5. Geometric algebra: An introduction with applications in Euclidean and conformal geometry [D] . Miller, Richard A. 2013

机译：几何代数：欧几里德和共形几何中的应用简介
6. Evaluating a Semiautonomous Brain-Computer Interface Based on Conformal Geometric Algebra and Artificial Vision [O] . Mauricio Adolfo Ramírez-Moreno, David Gutiérrez 2019

机译：基于共形几何代数和人工视觉的半自治脑机接口评估
7. ANALYSIS OF POINT CLOUDS Using Conformal Geometric Algebra [O] . Dietmar Hildenbrand, Eckhard Hitzer 2010

机译：使用共形几何代数分析点云

ANALYSIS OF POINT CLOUDS Using Conformal Geometric Algebra

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