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Construction of affine invariant functions in spatial domain. (English) Zbl 1264.94031
Summary: Affine invariant functions are constructed in spatial domain. Unlike the previous affine representation functions in transform domain, these functions are constructed directly on the object contour without any transformation. To eliminate the effect of the choice of points on the contour, an affine invariant function using seven points on the contour is constructed. For objects with several separable components, a closed curve is derived to construct the affine invariant functions. Several experiments have been conducted to evaluate the performance of the proposed method. Experimental results show that the constructed affine invariant functions can be used for object classification.

MSC:
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
68T45 Machine vision and scene understanding
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