Title :
On MAP optimality of gray-scale morphological filters
Author :
Singh, Balvinder ; Siddigi, M.U.
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., Kanpur, India
Abstract :
The estimation of finite-gray-scale digital images corrupted by supremum/infimum noise is posed within the statistical framework of discrete random functions (DRF). It is shown that morphological operators such as openings, closings, supremum of openings and infimum of closings are optimal Maximum-A-Posteriori (MAP) estimators under the assumption that noise is independent and identically distributed (lid) for single and multiframe observation scenarios. Simulation results supporting the validity of theoretical results are also included
Keywords :
filtering theory; image sequences; mathematical morphology; maximum likelihood estimation; noise; random processes; MAP estimators; MAP optimality; closings; discrete random functions; finite-gray-scale digital images estimation; gray-scale morphological filters; image sequences; infimum of closings; morphological operators; multiframe observation scenarios; openings; simulation; single frame observation scenarios; statistical framework; supremum of openings; supremum/infimum noise; Constraint theory; Digital filters; Digital images; Entropy; Extraterrestrial measurements; Filtering; Gray-scale; Morphological operations; Pixel; Probability;
Conference_Titel :
Image Processing, 1996. Proceedings., International Conference on
Conference_Location :
Lausanne
Print_ISBN :
0-7803-3259-8
DOI :
10.1109/ICIP.1996.560361
