6533b826fe1ef96bd12834f0

RESEARCH PRODUCT

Multiresolution Analysis for Irregular Meshes

Michaël RoyFrederic TruchetetMongi A. AbidiAndreas KoschanSebti Foufou

subject

Surface (mathematics)Theoretical computer scienceMultiresolution analysisNoise reductionComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION[INFO.INFO-GR] Computer Science [cs]/Graphics [cs.GR]02 engineering and technology[INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG]01 natural sciencesmultiresolution analysisIrregular mesh010309 opticsOperator (computer programming)[INFO.INFO-CV] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]0103 physical sciences0202 electrical engineering electronic engineering information engineeringPolygon meshPyramid (image processing)SubdivisionMathematicsComputingMethodologies_COMPUTERGRAPHICSbusiness.industrysurface attributes[INFO.INFO-CV]Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]020207 software engineeringsurface relaxation[INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR]Computer Science::Graphics[INFO.INFO-CG] Computer Science [cs]/Computational Geometry [cs.CG]Computer Science::Computer Vision and Pattern RecognitionRelaxation (approximation)businessAlgorithm

description

International audience; The concept of multiresolution analysis applied to irregular meshes has become more and more important. Previous contributions proposed a variety of methods using simplification and/or subdivision algorithms to build a mesh pyramid. In this paper, we propose a multiresolution analysis framework for irregular meshes with attributes. Our framework is based on simplification and subdivision algorithms to build a mesh pyramid. We introduce a surface relaxation operator that allows to build a non-uniform subdivision for a low computational cost. Furthermore, we generalize the relaxationoperator to attributes such as color, texture, temperature, etc. The attribute analysis gives more information on the analysed models allowing more complete processing. We show the efficiency of our framework through a number of applications including filtering, denoising and adaptive simplification.

yearjournalcountryeditionlanguage
2003-10-27
https://hal.science/hal-01943966