Abstract: In this paper we use the concept of uncertain pixel to improve the distortion-invariant ability of morphological hit-or-miss transformation. The novel method is called joint rank-order multi-value hit-or-miss transformation (JRMHMT), which reduces the decision effect of the pixels that is easily disturbed by rotation and scaling distortion. Without losing information of the input images, JRMHMT can realize the precision recognition between two images and has a better distortion-invariant ability in scaling and rotation than the ordinary HMT methods. The comparisons of JRMHMT with the ordinary HMT methods in theoretic analysis and experiments are given in this paper. Based on an incoherent correlator and a novel multi-value complementary encoding method, JRMHMT is realized for image recognition and gets satisfying results.!24
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