id: 05118155 dt: j an: 05118155 au: Velten, J.; Kummert, A. ti: A multi-dimensional systems theory framework for binary mathematical morphology. so: Multidimensional Syst. Signal Process. 17, No. 2-3, 211-217 (2006). py: 2006 pu: Springer, Norwell, MA la: EN cc: ut: binary mathematical morphology; binary image processing; binary object recognition; nonlinear motion estimation; industrial KD signal processing; morphological filter ci: li: doi:10.1007/s11045-005-6229-2 ab: 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. rv: