Patent
System and method for diffusing curvature
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TLDR
In this paper, a system or method to distribute curvature in a set of target vertices by computing curvature at boundary vertices of the set of targets by use of an umbrella operator is presented.Abstract:
A system or method to distribute curvature in a set of target vertices by computing curvature at boundary vertices of the set of target vertices by use of an umbrella operator. The boundary curvatures may be distributed into the set of target vertices by solving for a system of Umbrella operator equations for curvatures of respective vertices of the set of target vertices, with the computed curvature at the boundary vertices as a boundary condition for the system of equations. The vertices of the set of target vertices may be repositioned relative to the their neighbors according to the solved curvatures of the respective vertices of the set of vertices. The computing, distributing, and repositioning may be repeated, thereby changing the overall shape of the set of target vertices according to the curvature at the boundary vertices.read more
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References
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Proceedings ArticleDOI
Implicit fairing of irregular meshes using diffusion and curvature flow
TL;DR: Methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface are developed and it is proved that these curvature and Laplacian operators have several mathematically-desirable qualities that improve the appearance of the resulting surface.
Proceedings ArticleDOI
Interactive multi-resolution modeling on arbitrary meshes
TL;DR: In this article, the authors generalize powerful multiresolution techniques to arbitrary triangle meshes without requiring subdivision connectivity, and propose a flexible and intuitive paradigm for interactive detail-preserving mesh modification.
Proceedings ArticleDOI
Filling holes in meshes
TL;DR: A method for filling holes in unstructured triangular meshes with arbitrary holes in oriented connected manifold meshes that interpolate the shape and density of the surrounding mesh.
Journal ArticleDOI
Geometric fairing of irregular meshes for free-form surface design
Robert Schneider,Leif Kobbelt +1 more
TL;DR: A new algorithm for smoothing arbitrary triangle meshes while satisfying G^1 boundary conditions is presented based on solving a nonlinear fourth order partial differential equation (PDE) that only depends on intrinsic surface properties instead of being derived from a particular surface parameterization.
Proceedings ArticleDOI
Fairing of non-manifolds for visualization
Andreas Hubeli,Markus Gross +1 more
TL;DR: This framework computes a multilevel fairing of models by fairing both the two-manifold surfaces that define the model, the so-called two- features, and all the boundary and intersection curves of the model; an exact local volume preservation strategy and a method for feature preservation are introduced.