Surface Reconstruction via Geodesic Interpolation
Autor: | N. Sprynski, Nicolas Szafran, Luc Biard, B. Lacolle |
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Přispěvatelé: | Commissariat à l'énergie atomique et aux énergies alternatives - Laboratoire d'Electronique et de Technologie de l'Information (CEA-LETI), Direction de Recherche Technologique (CEA) (DRT (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Modélisation Géométrique & Multirésolution pour l'Image (MGMI), Laboratoire Jean Kuntzmann (LJK), Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS) |
Jazyk: | angličtina |
Rok vydání: | 2008 |
Předmět: |
Surface (mathematics)
Geodesic Geometry 010103 numerical & computational mathematics 02 engineering and technology Curvature minimization [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG] 01 natural sciences Industrial and Manufacturing Engineering Hermite interpolation Embedded micro-sensors surface reconstruction Ribbon 0202 electrical engineering electronic engineering information engineering 0101 mathematics Geodesic curves Mathematics Geodesic map Mathematical analysis 020207 software engineering Computer Graphics and Computer-Aided Design [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation Computer Science Applications [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] Motion capture Surface reconstruction Interpolation |
Zdroj: | Computer-Aided Design Computer-Aided Design, Elsevier, 2008, 40 (4), pp.480-492. ⟨10.1016/j.cad.2008.01.005⟩ Computer-Aided Design, 2008, 40 (4), pp.480-492. ⟨10.1016/j.cad.2008.01.005⟩ |
ISSN: | 0010-4485 |
DOI: | 10.1016/j.cad.2008.01.005⟩ |
Popis: | International audience; This paper is concerned with reconstruction of numerical or real surfaces based on the knowledge of some geodesic curves on the surface. So, considering two regular 3D-curves f0(t) and f1(t), our purpose is to construct a surface which interpolates these two curves in such a way that these two curves are geodesics on this surface. This will be accomplished using Hermite interpolation. For a real surface, it will be shown that geodesics can be acquired using a ribbon of micro-sensors. |
Databáze: | OpenAIRE |
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