research-article

Hierarchical Decomposition and Axial Shape Description

Authors:

G. MedioniAuthors Info & Claims

IEEE Transactions on Pattern Analysis and Machine Intelligence, Volume 15, Issue 10

Pages 973 - 981

https://doi.org/10.1109/34.254054

Published: 01 October 1993 Publication History

Abstract

A method for producing a segmented axial description of a given shape together with a hierarchical decomposition of the shape into its parts is presented. The novelty of this approach lies in the combination of several competing approaches and tools into a unified scheme and an efficient implementation producing natural descriptions. Smooth local symmetries are used for the axial description of parts, which are suggested by curvature sign changes. Parallel symmetries are used to provide information on global relationships within the shape. This information is used for parsing shape into a hierarchy of parts. This approach uses both region and contour information, can handle shapes with corners, and addresses the issue of local versus global information, the issue of scale, and the notion of part. The method is computationally efficient, robust, and stable. Results that show that it provides an intuitive shape description are included.

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Cited By

Wang CLai Z(2016)Shape decomposition and classification by searching optimal part pruning sequencePattern Recognition10.1016/j.patcog.2016.01.00554:C(206-217)Online publication date: 1-Jun-2016
https://dl.acm.org/doi/10.1016/j.patcog.2016.01.005
Ganebnykh SLange MStepanov D(2012)Metric classifier using multilevel network of templatesPattern Recognition and Image Analysis10.1134/S105466181202003422:2(265-277)Online publication date: 1-Apr-2012
https://dl.acm.org/doi/10.1134/S1054661812020034
Perez-Lorenzo JBandera AMarfil RVázquez-Martín R(2011)Curvilinear image regions detectionEURASIP Journal on Advances in Signal Processing10.1155/2011/1452322011(1-16)Online publication date: 1-Jan-2011
https://dl.acm.org/doi/10.1155/2011/145232
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Index Terms

Hierarchical Decomposition and Axial Shape Description
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling

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cover image IEEE Transactions on Pattern Analysis and Machine Intelligence

IEEE Transactions on Pattern Analysis and Machine Intelligence Volume 15, Issue 10

October 1993

129 pages

ISSN:0162-8828

Issue’s Table of Contents

Copyright © Copyright © 1993 IEEE. All Rights Reserved.

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IEEE Computer Society

United States

Publication History

Published: 01 October 1993

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Cited By

Wang CLai Z(2016)Shape decomposition and classification by searching optimal part pruning sequencePattern Recognition10.1016/j.patcog.2016.01.00554:C(206-217)Online publication date: 1-Jun-2016
https://dl.acm.org/doi/10.1016/j.patcog.2016.01.005
Ganebnykh SLange MStepanov D(2012)Metric classifier using multilevel network of templatesPattern Recognition and Image Analysis10.1134/S105466181202003422:2(265-277)Online publication date: 1-Apr-2012
https://dl.acm.org/doi/10.1134/S1054661812020034
Perez-Lorenzo JBandera AMarfil RVázquez-Martín R(2011)Curvilinear image regions detectionEURASIP Journal on Advances in Signal Processing10.1155/2011/1452322011(1-16)Online publication date: 1-Jan-2011
https://dl.acm.org/doi/10.1155/2011/145232
Mi XDeCarlo DStone MGooch BIsenberg TKaplan C(2009)Abstraction of 2D shapes in terms of partsProceedings of the 7th International Symposium on Non-Photorealistic Animation and Rendering10.1145/1572614.1572617(15-24)Online publication date: 1-Aug-2009
https://dl.acm.org/doi/10.1145/1572614.1572617
Zhang XLiu JLi ZJaeger MRahardja SWu EThalmann DHuang Z(2008)Volume decomposition and hierarchical skeletonizationProceedings of The 7th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry10.1145/1477862.1477885(1-6)Online publication date: 8-Dec-2008
https://dl.acm.org/doi/10.1145/1477862.1477885
Pinoli JDebayle J(2007)Logarithmic adaptive neighborhood image processing (LANIP)EURASIP Journal on Advances in Signal Processing10.1155/2007/361052007:1(114-114)Online publication date: 1-Jan-2007
https://dl.acm.org/doi/10.1155/2007/36105
Lien JKeyser JAmato NMartin RHu S(2006)Simultaneous shape decomposition and skeletonizationProceedings of the 2006 ACM symposium on Solid and physical modeling10.1145/1128888.1128919(219-228)Online publication date: 6-Jun-2006
https://dl.acm.org/doi/10.1145/1128888.1128919
Kuijper AOlsen OGiblin PNielsen M(2006)Alternative 2D Shape Representations using the Symmetry SetJournal of Mathematical Imaging and Vision10.1007/s10851-006-8372-226:1-2(127-147)Online publication date: 1-Nov-2006
https://dl.acm.org/doi/10.1007/s10851-006-8372-2
Goh W(2006)Strategies for part-based shape analysis using skeletonsProceedings of the Second international conference on Advances in Visual Computing - Volume Part I10.1007/11919476_48(475-484)Online publication date: 6-Nov-2006
https://dl.acm.org/doi/10.1007/11919476_48
Goh WChan K(2003)Shape description using gradient vector field histogramsProceedings of the 4th international conference on Scale space methods in computer vision10.5555/1764717.1764781(713-728)Online publication date: 10-Jun-2003
https://dl.acm.org/doi/10.5555/1764717.1764781
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