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1 June 1992 Floating stack arrays: a unified representation of linear and morphological filters
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Abstract
A gray level image in N dimensions can be mapped into an N + 3-dimensional binary space called a floating stack array. The three added dimensions are a stack decomposition, a neighborhood window, and a stack decomposition of a kernel associated with that window. All popular linear and nonlinear translation invariant operators can be represented as a sequence of projections and cross-sections of the floating stack array along various hyperplanes. The operators that can be represented include 2- and 3-dimensional morphology, gray level hit- and-miss transforms, rank order filters, generalized rank order filters, convolutions, and neural networks on an image space.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Stephen S. Wilson "Floating stack arrays: a unified representation of linear and morphological filters", Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); https://doi.org/10.1117/12.60653
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