Scale Invariant Geometry for Nonrigid Shapes
In nature, different animals of the same species frequently exhibit local variations in scale. New developments in shape matching research thus increasingly provide us with the tools to answer such fascinating questions as the following: How should we measure the discrepancy between a small dog with...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.406.3701 2023-05-15T15:45:12+02:00 Scale Invariant Geometry for Nonrigid Shapes Yonathan Aflalo Ron Kimmel Dan Raviv The Pennsylvania State University CiteSeerX Archives 2013 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.406.3701 http://www.cs.technion.ac.il/~ron/PAPERS/Journal/AflaloKimmelRavivSIAMIS2013.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.406.3701 http://www.cs.technion.ac.il/~ron/PAPERS/Journal/AflaloKimmelRavivSIAMIS2013.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.cs.technion.ac.il/~ron/PAPERS/Journal/AflaloKimmelRavivSIAMIS2013.pdf DOI. 10.1137/120888107 text 2013 ftciteseerx 2016-01-08T03:04:07Z In nature, different animals of the same species frequently exhibit local variations in scale. New developments in shape matching research thus increasingly provide us with the tools to answer such fascinating questions as the following: How should we measure the discrepancy between a small dog with large ears and a large one with small ears? Are there geometric structures common to both an elephant and a giraffe? What is the morphometric similarity between a blue whale and a dolphin? Currently, there are only two methods that allow us to quantify similarities between surfaces which are insensitive to deformations in size: scale invariant local descriptors and global normalization methods. Here, we propose a new tool for shape exploration. We introduce a scale invariant metric for surfaces that allows us to analyze nonrigid shapes, generate locally invariant features, produce scale invariant geodesics, embed one surface into another despite changes in local and global size, and assist in the computational study of intrinsic symmetries where size is insignificant. Text Blue whale Unknown |
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DOI. 10.1137/120888107 |
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DOI. 10.1137/120888107 Yonathan Aflalo Ron Kimmel Dan Raviv Scale Invariant Geometry for Nonrigid Shapes |
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DOI. 10.1137/120888107 |
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In nature, different animals of the same species frequently exhibit local variations in scale. New developments in shape matching research thus increasingly provide us with the tools to answer such fascinating questions as the following: How should we measure the discrepancy between a small dog with large ears and a large one with small ears? Are there geometric structures common to both an elephant and a giraffe? What is the morphometric similarity between a blue whale and a dolphin? Currently, there are only two methods that allow us to quantify similarities between surfaces which are insensitive to deformations in size: scale invariant local descriptors and global normalization methods. Here, we propose a new tool for shape exploration. We introduce a scale invariant metric for surfaces that allows us to analyze nonrigid shapes, generate locally invariant features, produce scale invariant geodesics, embed one surface into another despite changes in local and global size, and assist in the computational study of intrinsic symmetries where size is insignificant. |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Yonathan Aflalo Ron Kimmel Dan Raviv |
author_facet |
Yonathan Aflalo Ron Kimmel Dan Raviv |
author_sort |
Yonathan Aflalo |
title |
Scale Invariant Geometry for Nonrigid Shapes |
title_short |
Scale Invariant Geometry for Nonrigid Shapes |
title_full |
Scale Invariant Geometry for Nonrigid Shapes |
title_fullStr |
Scale Invariant Geometry for Nonrigid Shapes |
title_full_unstemmed |
Scale Invariant Geometry for Nonrigid Shapes |
title_sort |
scale invariant geometry for nonrigid shapes |
publishDate |
2013 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.406.3701 http://www.cs.technion.ac.il/~ron/PAPERS/Journal/AflaloKimmelRavivSIAMIS2013.pdf |
genre |
Blue whale |
genre_facet |
Blue whale |
op_source |
http://www.cs.technion.ac.il/~ron/PAPERS/Journal/AflaloKimmelRavivSIAMIS2013.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.406.3701 http://www.cs.technion.ac.il/~ron/PAPERS/Journal/AflaloKimmelRavivSIAMIS2013.pdf |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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