Robust contour description and measurement using distance on the Grassmann manifold

We propose robust affine-invariant contour descriptor and measure for shape matching under nonlinear deformations. The descriptor is formed by orthonormal configuration matrix of local contour. The geodesic distance on Grassmann manifold is used to measure similarities of shapes under locally affine...

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Bibliographic Details
Main Authors: Zhaozhong Wang, Zesheng Tang
Format: Conference Proceeding
Language:English
Subjects:
Accuracy
Affine invariance
contour descriptor
Grassmann manifold
Level measurement
Manifolds
Noise
perturbation analysis
Robustness
Shape
shape measure
Shape measurement
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Summary:We propose robust affine-invariant contour descriptor and measure for shape matching under nonlinear deformations. The descriptor is formed by orthonormal configuration matrix of local contour. The geodesic distance on Grassmann manifold is used to measure similarities of shapes under locally affine transformations, which can approximate complex deformations like articulations. A rigorous perturbation analysis proves that condition numbers of configuration matrices are critical for robustness. Then a method to improve matching stability using the condition numbers is deduced. Commonly used contour matchers, e.g., dynamical programming and others, are all applicable to the descriptor to obtain satisfied matching. Experimental evaluations are given using both synthetic and real-world images.
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.2012.6288031