Differential Invariants of Planar Curves and Recognizing Partially Occluded Shapes
Viewing transformations like similarity, affine and projective maps may distort planar shapes considerably. However it is possible to associate local invariant signature functions to smooth boundaries that enable recognition of distorted shapes even in case of partial occlusion. The derivation of signature functions, generalizing the intrinsic curvature versus arclength representation in case of rigid motions in the plane, is based on differential invariants associated to viewing transformations.
KeywordsPlanar Curve Rigid Motion Planar Object Geometric Transformation Planar Shape
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