@article {IOPORT.05118155, author = {Velten, J. and Kummert, A.}, title = {A multi-dimensional systems theory framework for binary mathematical morphology.}, year = {2006}, journal = {Multidimensional Systems and Signal Processing}, volume = {17}, number = {2-3}, issn = {0923-6082}, pages = {211-217}, publisher = {Springer, Norwell, MA}, doi = {10.1007/s11045-005-6229-2}, abstract = {Summary: Binary mathematical morphology is a set theoretical approach to multidimensional signal processing. It enables extraction of shape features and is thus a well known and successfully applied kind of operation for image processing and recognition tasks. Nevertheless, a system theoretical treatment of these operations seems to be difficult, due to its mathematical origin of integral geometry. A system theoretical description of binary mathematical morphology is given in the present paper that allows to design realizations of binary morphological operations following methods from classical linear systems theory in a very favorable way. The advantage of the proposed correspondence description is exemplary shown in the development of a matching technique for shape varying object clusters.}, identifier = {05118155}, }