This thesis is in the field of 3D animation and focuses on elastic deformations of surfaces in contact. Its main contribution is a new purely geometrical and time-independent deformation tool to solve this type of contact by producing swelling effects that can be interactively controlled by the artist. Although this tool treats each image independently, it produces temporally continuous deformations while providing artistic control of the swelling through a small number of pseudo-rigidity parameters. The plausibility of the deformation is guaranteed by the full preservation of the displaced volume and further enhanced by the anisotropic distribution of the swelling. An extension of this approach is also proposed to handle self-collisions between adjacent parts of the same object, which frequently occur in the context of character animation.
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