Search results for "supershape"

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Boolean operations with implicit and parametric representation of primitives using R-functions

2005

We present a new and efficient algorithm to accurately polygonize an implicit surface generated by multiple Boolean operations with globally deformed primitives. Our algorithm is special in the sense that it can be applied to objects with both an implicit and a parametric representation, such as superquadrics, supershapes, and Dupin cyclides. The input is a constructive solid geometry tree (CSG tree) that contains the Boolean operations, the parameters of the primitives, and the global deformations. At each node of the CSG tree, the implicit formulations of the subtrees are used to quickly determine the parts to be transmitted to the parent node, while the primitives' parametric definition …

Surface (mathematics)Theoretical computer scienceComputer scienceInformation Storage and Retrieval02 engineering and technologyConstructive solid geometryImaging Three-DimensionalParametric surfaceSuperquadricsImage Interpretation Computer-Assisted[ INFO.INFO-TI ] Computer Science [cs]/Image Processing0202 electrical engineering electronic engineering information engineeringparametric surfaceDifferentiable functionBoolean functionRepresentation (mathematics)ComputingMilieux_MISCELLANEOUSComputingMethodologies_COMPUTERGRAPHICSParametric statisticsGielis curveImplicit functionNumerical analysis020207 software engineeringNumerical Analysis Computer-Assistedsupershape[ INFO.INFO-GR ] Computer Science [cs]/Graphics [cs.GR]Computational geometryImage EnhancementComputer Graphics and Computer-Aided Design[INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR]Vertex (geometry)Tree (data structure)Mesh generation[INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV]Signal ProcessingCurve fitting020201 artificial intelligence & image processingComputer Vision and Pattern RecognitionAlgorithmSoftwareAlgorithms
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