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COMPUTING
2007
97views more  COMPUTING 2007»
14 years 9 months ago
Multiresolution morphing for planar curves
We present a multiresolution morphing algorithm using “as-rigid-as-possible” shape interpolation combinedwithanangle-lengthbasedmultiresolutiondecompositionofsimple2Dpiecewise...
Stefanie Hahmann, Georges-Pierre Bonneau, Baptiste...
GMP
2006
IEEE
15 years 3 months ago
Surface Creation and Curve Deformations Between Two Complex Closed Spatial Spline Curves
Abstract. This paper presents an algorithm to generate a smooth surface between two closed spatial spline curves. With the assumption that the two input curves can be projected to ...
Joel Daniels II, Elaine Cohen
COMPUTING
2007
81views more  COMPUTING 2007»
14 years 9 months ago
Hybrid curve fitting
We consider a parameterized family of closed planar curves and introduce an evolution process for identifying a member of the family that approximates a given unorganized point cl...
Martin Aigner, Bert Jüttler
LATIN
2010
Springer
15 years 4 months ago
Optimal Polygonal Representation of Planar Graphs
In this paper, we consider the problem of representing graphs by polygons whose sides touch. We show that at least six sides per polygon are necessary by constructing a class of pl...
Emden R. Gansner, Yifan Hu, Michael Kaufmann, Step...
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COMPGEOM
2009
ACM
15 years 4 months ago
On the topology of planar algebraic curves
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...