An algebraic approach for morphological operations on 2D and 3D images
Identifieur interne : 002279 ( Istex/Checkpoint ); précédent : 002278; suivant : 002280An algebraic approach for morphological operations on 2D and 3D images
Auteurs : Prabir Bhattacharya ; Kai Qian [États-Unis] ; Xun LuSource :
- Pattern Recognition [ 0031-3203 ] ; 1993.
Abstract
This paper describes an algebraic approach to morphological operations on 2D and 3D images. For 2D images, a matching algorithm based on mathematical morphology is given. For 3D images represented by voxels, algorithms are developed for the shape decomposition and thinning. The possible advantages of the algebraic approach are indicated by showing that a considerable speedup takes place (for large-sized templates) if the Fast Fourier Transform (FFT) is used to compute the convolutions.
Url:
DOI: 10.1016/0031-3203(93)90176-W
Affiliations:
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ISTEX:C3B75502E3B7E65F42F13005B27C729831387D4ALe document en format XML
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<sourceDesc><biblStruct><analytic><title level="a">An algebraic approach for morphological operations on 2D and 3D images</title>
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<wicri:regionArea>Department of Computer Science & Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588-0115</wicri:regionArea>
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<wicri:regionArea>†Present address: Department of Computer Science, Georgia Southwestern College, Americus, GA 31709</wicri:regionArea>
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<front><div type="abstract" xml:lang="en">This paper describes an algebraic approach to morphological operations on 2D and 3D images. For 2D images, a matching algorithm based on mathematical morphology is given. For 3D images represented by voxels, algorithms are developed for the shape decomposition and thinning. The possible advantages of the algebraic approach are indicated by showing that a considerable speedup takes place (for large-sized templates) if the Fast Fourier Transform (FFT) is used to compute the convolutions.</div>
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