An algebraic approach for developing vision systems

Paritosh Bhattacharya, Kai Guo Qian · 2002

By using polynomials in three variables to represent three-dimensional (3-D) objects, surface determination, shape decomposition and template matching algorithms have been developed for image understanding. It is shown that all the morphological operations on the images are described in terms of certain algebraic operations on the polynomial representation. All the algorithms have linear time complexity.>

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