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» On theoretical backgrounds of CAD
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CAD
2010
Springer
13 years 7 months ago
Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets
MOS surfaces are rational surfaces in R3,1 which provide rational envelopes of the associated two-parameter family of spheres. Moreover, all the offsets admit rational parameteriz...
Bohumír Bastl, Bert Jüttler, Jir&iacut...
CAD
2008
Springer
13 years 7 months ago
J-splines
Both the 4-point and the uniform cubic B-spline subdivisions double the number of vertices of a closed-loop polygon k P and produce sequences of vertices fj and bj respectively. W...
Jarek Rossignac, Scott Schaefer
CAD
2006
Springer
13 years 7 months ago
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
This paper introduces a method to extract `Shape-DNA', a numerical fingerprint or signature, of any 2d or 3d manifold (surface or solid) by taking the eigenvalues (i.e. the s...
Martin Reuter, Franz-Erich Wolter, Niklas Peinecke
CAD
2004
Springer
13 years 7 months ago
Curve fitting and fairing using conic splines
We present an efficient geometric algorithm for conic spline curve fitting and fairing through conic arc scaling. Given a set of planar points, we first construct a tangent contin...
Xunnian Yang
CAD
2002
Springer
13 years 7 months ago
Embedding visual cognition in 3D reconstruction from multi-view engineering drawings
In this paper we discuss how to reconstruct 3D models from multi-view engineering draws by employing human engineers' approaches. Human's `divide and conquer' inter...
Weidong Geng, Jingbin Wang, Yiyang Zhang