We report new techniques and theory in computational topology for reconstructing surfaces with boundary. This complements and extends known techniques for surfaces without boundar...
K. Abe, Justin Bisceglio, Thomas J. Peters, Alexan...
We propose a new topological data structure for representing a set of polygonal curves embedded in a meshed surface. In this embedding, the vertices of the curve do not necessaril...
In this paper, we present a set of generalized “local” mesh operators. Local operators are those that operate on a single face without affecting the rest of the mesh. Boundary...
Point-based surfaces (i.e. surfaces represented by discrete point sets which are either directly obtained by current 3D acquisition devices or converted from other surface represe...
Tamy Boubekeur, Patrick Reuter, Christophe Schlick
Curvature-based energy and forces are used in a broad variety of contexts, ranging from modeling of thin plates and shells to surface fairing and variational surface design. The a...
Traditional approaches for modeling a closed manifold surface with either regular tensor-product or triangular splines (defined over an open planar domain) require decomposing th...
We introduce new linear operators for surface parameterization. Given an initial mapping from the parametric plane onto a surface mesh, we establish a secondary map from the plane...
The recent ability to measure quickly and inexpensively dense sets of points on physical objects has deeply influenced the way engineers used to represent shapes in CAD systems, ...
Alex Yvart, Stefanie Hahmann, Georges-Pierre Bonne...