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231223s2004 xx ||||| 00| ||eng c |
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|a DE-627
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|e rakwb
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|a eng
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| 100 |
1 |
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|a Klassen, Eric
|e verfasserin
|4 aut
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| 245 |
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|a Analysis of planar shapes using geodesic paths on shape spaces
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|c 2004
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| 336 |
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|a Text
|b txt
|2 rdacontent
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| 337 |
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|a ohne Hilfsmittel zu benutzen
|b n
|2 rdamedia
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| 338 |
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|a Band
|b nc
|2 rdacarrier
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|a Date Completed 12.10.2004
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|a Date Revised 10.12.2019
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|a published: Print
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|a Citation Status MEDLINE
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|a For analyzing shapes of planar, closed curves, we propose differential geometric representations of curves using their direction functions and curvature functions. Shapes are represented as elements of infinite-dimensional spaces and their pairwise differences are quantified using the lengths of geodesics connecting them on these spaces. We use a Fourier basis to represent tangents to the shape spaces and then use a gradient-based shooting method to solve for the tangent that connects any two shapes via a geodesic. Using the Surrey fish database, we demonstrate some applications of this approach: 1) interpolation and extrapolations of shape changes, 2) clustering of objects according to their shapes, 3) statistics on shape spaces, and 4) Bayesian extraction of shapes in low-quality images
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|a Comparative Study
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|a Evaluation Study
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|a Journal Article
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|a Research Support, U.S. Gov't, Non-P.H.S.
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| 650 |
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|a Validation Study
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| 700 |
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|a Srivastava, Anuj
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Mio, Washington
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Joshi, Shantanu H
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t IEEE transactions on pattern analysis and machine intelligence
|d 1998
|g 26(2004), 3 vom: 24. März, Seite 372-83
|w (DE-627)NLM098212257
|x 0162-8828
|7 nnns
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| 773 |
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|g volume:26
|g year:2004
|g number:3
|g day:24
|g month:03
|g pages:372-83
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|a AR
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| 952 |
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|d 26
|j 2004
|e 3
|b 24
|c 03
|h 372-83
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