Floating stack arrays: a unified representation of linear and morphological filters

Stephen S. Wilson

doi:10.1117/12.60653

1 June 1992 Floating stack arrays: a unified representation of linear and morphological filters

Stephen S. Wilson

Author Affiliations +

Proceedings Volume 1769, Image Algebra and Morphological Image Processing III; (1992) https://doi.org/10.1117/12.60653
Event: San Diego '92, 1992, San Diego, CA, United States

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.

Citation Download Citation

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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