Geometric Entities Voting Schemes in the Conformal Geometric Algebra Framework

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• 作者：Gehová López-González ; Gerardo Altamirano-Gómez…
• 关键词：Hough transform ; Tensor voting ; Conformal geometric algebra
• 刊名：Advances in Applied Clifford Algebras
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：26
• 期：3
• 页码：1045-1059
• 全文大小：960 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Mathematical Methods in Physics
  Mathematical and Computational Physics
  Applications of Mathematics
  Physics
  
• 出版者：Birkh盲user Basel
• ISSN：1661-4909
• 卷排序：26

文摘

Traditional methods for geometric entities resort to the Hough transform and tensor voting schemes for detect lines and circles. In this work, the authors extend these approaches using representations in terms of k-vectors of the Conformal Geometric Algebra. Of interest is the detection of lines and circles in images, and planes, circles, and spheres in the 3-D visual space; for that, we use the randomized Hough transform, and by means of k-blades we code such geometric entities. Motivated by tensor voting, we have generalized this approach for any kind of geometric entities or geometric flags formulating the perceptual saliency function involving k-vectors. The experiments using real images show the performance of the algorithms.