The global-local transformation for invariant shape representation

Authors:
Konstantinos A. Raftopoulos;Stefanos D. Kollias
Affiliations:
National Technical University of Athens, Athens, Greece;National Technical University of Athens, Athens, Greece
Venue:
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part II
Year:
2007

Citing 13
Cited 1

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Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes

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Shape Representation by Multiscale Contour Approximation

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A shape recognition scheme based on relative distances of feature points from the centroid

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A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves

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Shape distributions

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On Aligning Curves

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On the Intrinsic Reconstruction of Shape from Its Symmetries

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Recognition of Shapes by Editing Their Shock Graphs

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On the Measurement of Curvature in a Quantized Environment

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Scale-space filtering

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Fourier Descriptors for Plane Closed Curves

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The Global-Local transformation for noise resistant shape representation

Computer Vision and Image Understanding

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Abstract

We present the GlobalLocal (GL) transformation for closed planar curves. With this new transformation we can represent shape by means of two dimensional manifolds (surfaces) embedded into the unit cube. We explore some useful properties of the transform space and we demonstrate its high expressive power. We justify the high potential of the resulting invariant shape representations in object recognition by providing experimental results using the Kimia silhouette database.