Article (Scientific journals)
Deformation Based Curved Shape Representation
Demisse, Girum; Aouada, Djamila; Ottersten, Björn
2017In IEEE Transactions on Pattern Analysis and Machine Intelligence
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Keywords :
Shape representation; Similarity metric; Shape matching; Deformation
Abstract :
[en] In this paper, we introduce a deformation based representation space for curved shapes in Rn. Given an ordered set of points sampled from a curved shape, the proposed method represents the set as an element of a finite dimensional matrix Lie group. Variation due to scale and location are filtered in a preprocessing stage, while shapes that vary only in rotation are identified by an equivalence relationship. The use of a finite dimensional matrix Lie group leads to a similarity metric with an explicit geodesic solution. Subsequently, we discuss some of the properties of the metric and its relationship with a deformation by least action. Furthermore, invariance to reparametrization or estimation of point correspondence between shapes is formulated as an estimation of sampling function. Thereafter, two possible approaches are presented to solve the point correspondence estimation problem. Finally, we propose an adaptation of k-means clustering for shape analysis in the proposed representation space. Experimental results show that the proposed representation is robust to uninformative cues, e.g. local shape perturbation and displacement. In comparison to state of the art methods, it achieves a high precision on the Swedish and the Flavia leaf datasets and a comparable result on MPEG-7, Kimia99 and Kimia216 datasets.
Disciplines :
Computer science
Author, co-author :
Demisse, Girum ;  University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)
Aouada, Djamila  ;  University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)
Ottersten, Björn ;  University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)
External co-authors :
no
Language :
English
Title :
Deformation Based Curved Shape Representation
Publication date :
2017
Journal title :
IEEE Transactions on Pattern Analysis and Machine Intelligence
ISSN :
0162-8828
Publisher :
IEEE
Peer reviewed :
Peer Reviewed verified by ORBi
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since 03 June 2017

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