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Proposing the Technique of Shape Classification Using Homology

호몰로지를 이용한 형태 분류 기법 제안

  • Hahn, Hee Il (Dept. of Information and Communications Eng., College of Engineering, Hankuk University of Foreign Studies)
  • Received : 2017.11.08
  • Accepted : 2017.12.19
  • Published : 2018.01.31

Abstract

Persistence Betty numbers, which are the rank of the persistent homology, are a generalized version of the size theory widely known as a descriptor for shape analysis. They show robustness to both perturbations of the topological space that represents the object, and perturbations of the function that measures the shape properties of the object. In this paper, we present a shape matching algorithm which is based on the use of persistence Betty numbers. Experimental tests are performed with Kimia dataset to show the effectiveness of the proposed method.

Keywords

References

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