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CAGD
2004
121views more  CAGD 2004»
13 years 9 months ago
A conjecture on tangent intersections of surface patches
This note conjectures that if two surface patches intersect with G1 continuity along an entire curve, the probability is one that the curve is rational. This idea has significance...
Thomas W. Sederberg, Jianmin Zheng, Xiaowen Song
CAGD
2002
97views more  CAGD 2002»
13 years 9 months ago
Hierarchical multiresolution reconstruction of shell surfaces
We present an adaptive, hierarchical Hh-multiresolution reconstruction algorithm to model shell surface objects from a matched pair of triangulated surfaces. Shell surfaces are an...
Chandrajit L. Bajaj, Guoliang Xu, Robert J. Holt, ...
CAGD
2002
87views more  CAGD 2002»
13 years 9 months ago
Uniform hyperbolic polynomial B-spline curves
This paper presents a new kind of uniform splines, called hyperbolic polynomial B-splines, generated over the space = span{sinht,cosht,tk-3,tk-4,...,t,1} in which k is an arbitra...
Yonggang Lü, Guozhao Wang, Xunnian Yang
CAGD
2002
102views more  CAGD 2002»
13 years 9 months ago
Optimal slicing of free-form surfaces
Many applications, such as contour machining, rapid prototyping, and reverse engineering by laser scanner or coordinate measuring machine, involve sampling of free-from surfaces a...
Tait S. Smith, Rida T. Farouki, Mohammad al-Kandar...
CAGD
1998
99views more  CAGD 1998»
13 years 9 months ago
A Laguerre geometric approach to rational offsets
Laguerre geometry provides a simple approach to the design of rational curves and surfaces with rational offsets. These so-called PH curves and PN surfaces can be constructed from...
Martin Peternell, Helmut Pottmann