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» Focal surfaces of discrete geometry
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TOG
2008
127views more  TOG 2008»
15 years 1 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
15 years 5 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
15 years 7 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
15 years 7 months 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
15 years 5 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