0000000000352264

AUTHOR

Andrei V. Gribok

showing 3 related works from this author

Supershape Recovery from 3D Data Sets

2006

In this paper, we apply supershapes and R-functions to surface recovery from 3D data sets. Individual supershapes are separately recovered from a segmented mesh. R-functions are used to perform Boolean operations between the reconstructed parts to obtain a single implicit equation of the reconstructed object that is used to define a global error reconstruction function. We present surface recovery results ranging from single synthetic data to real complex objects involving the composition of several supershapes and holes.

Implicit functionbusiness.industrySignal reconstructionImage segmentationFunction (mathematics)Iterative reconstructionSynthetic dataComputer visionArtificial intelligencebusinessBoolean functionAlgorithmStandard Boolean modelMathematics2006 International Conference on Image Processing
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Rational supershapes for surface reconstruction

2007

Simple representation of complex 3D data sets is a fundamental problem in computer vision. From a quality control perspective, it is crucial to use efficient and simple techniques do define a reference model for further recognition or comparison tasks. In this paper, we focus on reverse engineering 3D data sets by recovering rational supershapes to build an implicit function to represent mechanical parts. We derive existing techniques for superquadrics recovery to the supershapes and we adapt the concepts introduced for the ratioquadrics to introduce the rational supershapes. The main advantage of rational supershapes over standard supershapes is that the radius is now expressed as a ration…

Reverse engineeringImplicit functionComputer scienceSimple (abstract algebra)SuperquadricsRepresentation (mathematics)Focus (optics)computer.software_genreReference modelAlgorithmMeasure (mathematics)computerEighth International Conference on Quality Control by Artificial Vision
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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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