Digital surface regularization by normal vector field alignment

Abstract : Digital objects and digital surfaces are isothetic structures per se. Such surfaces are thus not adapted to direct visualization with isothetic quads, or to many geometry processing methods. We propose a new regularization technique to construct a piecewise smooth quad-rangulated surface from a digital surface. More formally we propose a variational formulation which efficiently regularizes digital surface ver-tices while complying with a prescribed, eventually anisotropic, input normal vector field estimated on the digital structure. Beside visualiza-tion purposes, such regularized surface can then be used in any geometry processing tasks which operates on triangular or quadrangular meshes (e.g. compression, texturing, anisotropic smoothing, feature extraction).
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David Coeurjolly, Pierre Gueth, Jacques-Olivier Lachaud. Digital surface regularization by normal vector field alignment. 20th International Conference on Discrete Geometry for Computer Imagery, 2017, Vienna, Austria. pp.197--209, ⟨10.1007/978-3-319-66272-5_17⟩. ⟨hal-01543007⟩

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