Introduction to mathematical morphology
Computer Vision, Graphics, and Image Processing
Fundamentals of digital image processing
Fundamentals of digital image processing
Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
The classification properties of the spectrum and its use for pattern identification
Circuits, Systems, and Signal Processing
Off-Line Signature Verification by Local Granulometric Size Distributions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Discrete Random Signals and Statistical Signal Processing
Discrete Random Signals and Statistical Signal Processing
MICAI '08 Proceedings of the 2008 Seventh Mexican International Conference on Artificial Intelligence
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In this work the most important morphological granulometry, i.e. the pattern spectrum, is modeled, for the first time in the literature, as a first order Markov process. In addition, each of the terms of the process is shown to be normally distributed. The classification procedure followed for this specific application is based on modeling each separate class as a Markov process and making extensive use of the chain rule. Experimental results support the proposed classification procedure as quite promising, especially when compared to conventional classification techniques.