6533b7cefe1ef96bd1257102

RESEARCH PRODUCT

Two-view “cylindrical decomposition” of binary images

Vito Di GesùCesare Valenti

subject

Connected componentNumerical AnalysisAlgebra and Number TheoryTheoretical computer scienceSettore INF/01 - InformaticaBinary imageObject (computer science)StructuringCylindrical algebraic decompositionString representationDigital imageImage decompositionComputer Science::Computer Vision and Pattern RecognitionDecomposition (computer science)Discrete Mathematics and CombinatoricsGeometry and TopologyRepresentation (mathematics)AlgorithmShape descriptionMathematics

description

This paper describes the discrete cylindrical algebraic decomposition (DCAD) construction along two orthogonal views of binary images. The combination of two information is used to avoid ambiguities for image recognition purposes. This algorithm associates an object connectivity graph to each connected component, allowing a complete description of the structuring information. Moreover, an easy and compact representation of the scene is achieved by using strings in a five letter alphabet. Examples on complex digital images are also provided. © 2001 Elsevier Science Inc.

https://doi.org/10.1016/s0024-3795(01)00485-2