M. A. Schulze. "Mathematical properties of the pseudomedian filter." M.S. thesis, University of Texas at Austin, 1990. Home/Search Document Details and Download
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Proceedings of the 1993 IEEE International Conference on.. - Linear Combinations Of Self-citation (Schulze) (Correct)
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M. A. Schulze, Mathematical Properties of the Pseudomedian Filter , M.S. thesis, University of Texas at Austin, 1990.
Biomedical Image Processing with Morphology-Based Nonlinear Filters - Schulze (1994) Self-citation (Schulze) (Correct)
....opening and closing. The 1 D pseudomedian filter is therefore the average of the opening and closing, as noted previously by this author [30] Pratt defined a two dimensional pseudomedian filter in a manner that does not correspond to 2 D opening and closing; however, other work by the author [31, 32] generalized the pseudomedian filter to two dimensions in a manner corresponding to the definition of the pseudomedian as the average of opening and closing. The notation for pseudomedian filter is given in equation (3.2) below. pmed(f; N) 1 2 (f N f N ) 3.2) LOCO Filter Following ....
....well, the filters found by averaging these operators behave quite differently in many respects. For example, opening removes positive impulses and closing removes negative impulses, but their average (the pseudomedian filter) does not completely remove either positive or negative impulses [31, 32]. Nevertheless, the 1 D root signals of the midrange, pseudomedian, and LOCO filters are virtually the same as for their corresponding constituent filters, as will be shown subsequently. To prove the root signal set results for the linear combination filters, several preliminary definitions and ....
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M. A. Schulze, Mathematical Properties of the Pseudomedian Filter. M.S. Thesis, University of Texas at Austin, 1990.
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M. A. Schulze. "Mathematical properties of the pseudomedian filter." M.S. thesis, University of Texas at Austin, 1990.
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