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Modélisation Hiérarchique de Surfaces à partir de Maillages Polyédriques et Applications

Abstract : Computer aided design and manufacturing (C.A.D./C.A.M.) is inescapable during the creation process of a product. In the same way, computer graphics is frequently used for special effects and virtual reality. However, each domain makes use of its own tools to model surfaces. In order to respond to these two use cases, we developed a new surface model for polynomial, interpolating, globally smooth (tangent plane continuous) and hierarchical surfaces. First, An initial smooth surface is computed over a triangular mesh, which enables our model to deal with arbitrary topologies. Next, details are progressively added by levels. This is done through subdividing each face in four sub-faces by inserting new vertices at the middle of each edge. This refinement does not imply any significant modification of the surface. Each detail is defined locally relatively to the preceding one thanks to the use of a local frame. This hierarchy enables fine details to follow continuously displacements when editing the surface. Two applications of this new hierarchical model are then proposed in this thesis: First, a 3D modeler respecting the creative process of artists. It is based on the construction of a global shape, which is progressively refined in order to obtain the final object. Moreover, our hierarchical structure enables intuitive object editions by modifying very few parameters. Finally, a reconstruction tool is offered to model existing objects with our new hierarchical representation.
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https://tel.archives-ouvertes.fr/tel-00009003
Contributor : Alex Yvart <>
Submitted on : Tuesday, April 12, 2005 - 11:48:50 PM
Last modification on : Friday, November 6, 2020 - 4:11:13 AM
Long-term archiving on: : Friday, April 2, 2010 - 9:40:38 PM

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Alex Yvart. Modélisation Hiérarchique de Surfaces à partir de Maillages Polyédriques et Applications. domain_stic.comm. Institut National Polytechnique de Grenoble - INPG, 2004. Français. ⟨tel-00009003⟩

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