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» Focal surfaces of discrete geometry
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TOG
2008
127views more  TOG 2008»
13 years 7 months ago
Freeform surfaces from single curved panels
Motivated by applications in architecture and manufacturing, we discuss the problem of covering a freeform surface by single curved panels. This leads to the new concept of semi-d...
Helmut Pottmann, Alexander Schiftner, Pengbo Bo, H...
JCDCG
2000
Springer
13 years 11 months ago
Volume Queries in Polyhedra
We present a simple and practical data structure for storing a (not necessarily convex) polyhedron P which can, given a query surface S cutting the polyhedron, determine the volume...
John Iacono, Stefan Langerman
SMI
2005
IEEE
14 years 1 months ago
Curvature-based Energy for Simulation and Variational Modeling
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...
Denis Zorin
COMPGEOM
2003
ACM
14 years 24 days ago
Estimating surface normals in noisy point cloud data
In this paper we describe and analyze a method based on local least square fitting for estimating the normals at all sample points of a point cloud data (PCD) set, in the presenc...
Niloy J. Mitra, An Nguyen
SIGGRAPH
1995
ACM
13 years 11 months ago
A signal processing approach to fair surface design
In this paper we describe a new tool for interactive free-form fair surface design. By generalizing classical discrete Fourier analysis to two-dimensional discrete surface signals...
Gabriel Taubin