Vector morphology and iconic neural networks

Mathematical morphology involves the geometrical analysis of shapes and textures in images. Methods of generalizing morphology are presented, and it is shown that all common image-based operators are instances of two fundamental operators where voting logic is at a pivotal point. Another generalization leads to vector operators. A sequence of vector morphology operations is similar to a multiple-layer iconic neural network. In morphology, a new operator called a weighted rank order filter becomes apparent. It is noted that massively parallel, bit serial computer architectures are the most effective way to realize the various operations discussed. >

[1]  Kenneth E. Batcher,et al.  Design of a Massively Parallel Processor , 1980, IEEE Transactions on Computers.

[2]  D. Hubel,et al.  Receptive fields and functional architecture of monkey striate cortex , 1968, The Journal of physiology.

[3]  H. Minkowski Volumen und Oberfläche , 1903 .

[4]  H. Hadwiger Vorlesungen über Inhalt, Oberfläche und Isoperimetrie , 1957 .

[5]  Piet W. Verbeek,et al.  Implementation of cellular-logic operators using 3*3 convolution and table lookup hardware , 1984, Comput. Vis. Graph. Image Process..

[6]  GEORG HEYGSTER,et al.  Rank filters in digital image processing , 1982, Comput. Graph. Image Process..

[7]  Xinhua Zhuang,et al.  Image Analysis Using Mathematical Morphology , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  P. Danielsson Getting the Median Faster , 1981 .

[9]  Stanley R Sternberg,et al.  Grayscale morphology , 1986 .

[10]  Xinhua Zhuang,et al.  Binary morphology: working in the sampled domain , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[11]  Petros Maragos,et al.  A unification of linear, median, order-statistics and morphological filters under mathematical morphology , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[12]  Vartkes Goetcherian,et al.  From binary to grey tone image processing using fuzzy logic concepts , 1980, Pattern Recognit..

[13]  B I Justusson,et al.  Median Filtering: Statistical Properties , 1981 .

[14]  Edward R. Dougherty,et al.  A robust image processing language in the context of image algebra , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[15]  S. S. Wilson,et al.  The AIS-5000 Parallel Processor , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[16]  Petros Maragos,et al.  Morphological filters-Part I: Their set-theoretic analysis and relations to linear shift-invariant filters , 1987, IEEE Trans. Acoust. Speech Signal Process..

[17]  Petros Maragos,et al.  Morphological filters-Part II: Their relations to median, order-statistic, and stack filters , 1987, IEEE Trans. Acoust. Speech Signal Process..

[18]  H. Minkowski Volumen und Oberfläche , 1903 .