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» SLEVEs for planar spline curves
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CAD
2006
Springer
13 years 6 months ago
Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics
This paper compares two techniques for the approximation of the offsets to a given planar curve. The two methods are based on approximate conversion of the planar curve into circu...
Zbynek Sír, Robert Feichtinger, Bert Jü...
CAD
2008
Springer
13 years 6 months ago
Dual evolution of planar parametric spline curves and T-spline level sets
By simultaneously considering evolution processes for parametric spline curves and implicitly defined curves, we formulate the framework of dual evolution. This allows us to combin...
Robert Feichtinger, Matthias Fuchs, Bert Jütt...
COMPGEOM
2004
ACM
13 years 10 months ago
Complete, exact, and efficient computations with cubic curves
The Bentley-Ottmann sweep-line method can be used to compute the arrangement of planar curves provided a number of geometric primitives operating on the curves are available. We d...
Arno Eigenwillig, Lutz Kettner, Elmar Schömer...
AAECC
2007
Springer
132views Algorithms» more  AAECC 2007»
13 years 6 months ago
Approximate implicitization of planar curves by piecewise rational approximation of the distance function
We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given...
Mohamed Shalaby, Bert Jüttler, Josef Schicho
AUTOMATICA
2008
83views more  AUTOMATICA 2008»
13 years 6 months ago
Periodic smoothing splines
Periodic smoothing splines appear for example as generators of closed, planar curves, and in this paper they are constructed using a controlled two point boundary value problem in...
Hiroyuki Kano, Magnus Egerstedt, Hiroyuki Fujioka,...