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Morphing multirésolution de courbes

Abstract : In computer graphics, morphing (or metamorphosis) is known as the smooth and progressive transformation of one shape into another. The shape can be an image or a planar curve in 2D space, or it can be a surface or a volume in 3D space. The problem is to create an aesthetic and intuitive transition between two shapes. The intermediate shapes should preserve the appearance and the properties of the input shapes. The morphing process consists of solving two problems: the vertex correspondence problem (finding the correspondence between the geometric features of the source and target object) and the vertex path problem (finding the trajectory two corresponding elements follow during the morphing). Both problems still attract much attention in research, since no formal definition of a successful solution exits. In this work we assume that the correspondence is given and only the vertex path problem is to be solved. The morphing method we introduce in this thesis is based on a new intrinsic multiresolution decomposition. This novel multiresolution representation is defined intrinsically by lengths and angles. We show that this intrinsic representation preserves details orientation during deformation. Multiresolution morphing principle is to interpolate separately coarse and detail coefficients of the multiresolution decomposition. It can be observed in all tests we did, that the morphs behave natural and that the transformations are least-distorting. We apply this intrinsic multirésolution morphing algorithm principle for both 2D and 3D curves.
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https://tel.archives-ouvertes.fr/tel-00581474
Contributor : Mélanie Cornillac Connect in order to contact the contributor
Submitted on : Wednesday, March 30, 2011 - 7:53:35 PM
Last modification on : Friday, March 25, 2022 - 9:41:27 AM
Long-term archiving on: : Saturday, December 3, 2016 - 8:33:23 AM

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  • HAL Id : tel-00581474, version 1

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Mélanie Cornillac. Morphing multirésolution de courbes. Modélisation et simulation. Université de Grenoble, 2010. Français. ⟨tel-00581474⟩

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