1 November 1990 Recursive operations in image algebra
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The three commonly used high-level image-template operations provided by the image algebra are the generalized convolution the additive maximum or generalized lattice convolution and the multiplicative maximum These are used to realize various nonrecursive image transformations e. g. DFT edge detection and morphological operations. Along with nonrecursive transformations a class of recursive transformations are also widely used in signal and image processing e. g. hR filters sequential block labeling predictive coding etc. . In this paper a couple of new recursive operations are introduced which allow the image algebra to express a set of linear and nonlinear recursive transformations. Algebraic properties of these recursive operations are given which provide a mathematical basis for recursive template composition and decomposition. Also some applications of recursive operations in image processing are presented.
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Dong Li, Dong Li, Gerhard X. Ritter, Gerhard X. Ritter, } "Recursive operations in image algebra", Proc. SPIE 1350, Image Algebra and Morphological Image Processing, (1 November 1990); doi: 10.1117/12.23571; https://doi.org/10.1117/12.23571

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