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Smooth interpolation of curve networks with surface normals

Tibor Stanko 1, 2 Stefanie Hahmann 2 Georges-Pierre Bonneau 3 Nathalie Saguin-Sprynski 1
2 IMAGINE - Intuitive Modeling and Animation for Interactive Graphics & Narrative Environments
Inria Grenoble - Rhône-Alpes, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, LJK - Laboratoire Jean Kuntzmann
3 MAVERICK - Models and Algorithms for Visualization and Rendering
Inria Grenoble - Rhône-Alpes, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, LJK - Laboratoire Jean Kuntzmann
Abstract : Recent surface acquisition technologies based on microsensors produce three-space tangential curve data which can be transformed into a network of space curves with surface normals. This paper addresses the problem of surfacing an arbitrary closed 3D curve network with given surface normals. Thanks to the normal vector input, the patch finding problem can be solved unambiguously and an initial piecewise smooth triangle mesh is computed. The input normals are propagated throughout the mesh and used to compute mean curvature vectors. We then introduce a new variational optimization method in which the standard bi-Laplacian is penalized by a term based on the mean curvature vectors. The intuition behind this original approach is to guide the standard Laplacian-based variational methods by the curvature information extracted from the input normals. The normal input increases shape fidelity and allows to achieve globally smooth and visually pleasing shapes.
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https://hal.inria.fr/hal-01372958
Contributor : Tibor Stanko Connect in order to contact the contributor
Submitted on : Tuesday, September 27, 2016 - 11:40:21 PM
Last modification on : Friday, November 5, 2021 - 2:58:07 PM

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  • HAL Id : hal-01372958, version 1

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Tibor Stanko, Stefanie Hahmann, Georges-Pierre Bonneau, Nathalie Saguin-Sprynski. Smooth interpolation of curve networks with surface normals. GTMG 2016 — Actes des Journées du Groupe de Travail en Modélisation Géométrique, Mar 2016, Dijon, France, France. pp.30-34. ⟨hal-01372958⟩

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