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CAGD
2008
71views more  CAGD 2008»
13 years 11 months ago
Geometric Lagrange interpolation by planar cubic Pythagorean-hodograph curves
In this paper, the geometric Lagrange interpolation of four points by planar cubic Pythagorean-hodograph (PH) curves is studied. It is shown that such an interpolatory curve exist...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...
CAGD
2008
99views more  CAGD 2008»
13 years 11 months ago
Topology and arrangement computation of semi-algebraic planar curves
We describe a new subdivision method to efficiently compute the topology and the arrangement of implicit planar curves. We emphasize that the output topology and arrangement are g...
Lionel Alberti, Bernard Mourrain, Julien Wintz
CAGD
2008
99views more  CAGD 2008»
13 years 11 months ago
On quadratic two-parameter families of spheres and their envelopes
In the present paper we investigate rational two-parameter families of spheres and their envelope surfaces in Euclidean R3. The four dimensional cyclographic model of the set of s...
Martin Peternell, Boris Odehnal, Maria Lucia Sampo...
CAGD
2008
84views more  CAGD 2008»
13 years 11 months ago
Pairs of bi-cubic surface constructions supporting polar connectivity
Ashish Myles, Kestutis Karciauskas, Jörg Pete...
CAGD
2008
109views more  CAGD 2008»
13 years 11 months ago
Application of B-spline techniques to the modeling of airplane wings and numerical grid generation
In the present paper we give account of an effort that aimed at the unification of the whole geometric preprocessing that preceded the wind tunnel readings with a realistic airpla...
Karl-Heinz Brakhage, Philipp Lamby
CAGD
2008
80views more  CAGD 2008»
13 years 11 months ago
Division algorithms for Bernstein polynomials
Three division algorithms are presented for univariate Bernstein polynomials: an algorithm for finding the quotient and remainder of two univariate polynomials, an algorithm for c...
Laurent Busé, Ron Goldman
CAGD
2008
134views more  CAGD 2008»
13 years 11 months ago
A note on the paper "Normal based subdivision scheme for curve design" by Xunnian Yang
In a recent paper (Computer Aided Geometric Design 23 (3), 243
Luming Liang, Huanxi Zhao, Beiji Zou
CAGD
2008
292views more  CAGD 2008»
13 years 11 months ago
Rotations, translations and symmetry detection for complexified curves
A plane algebraic curve can be represented as the zero-set of a polynomial in two - or if one takes homogenous coordinates: three - variables. The coefficients of the polynomial de...
Peter Lebmeir, Jürgen Richter-Gebert
CAGD
2008
100views more  CAGD 2008»
13 years 11 months ago
The geometry of the Moineau pump
The Moineau pump was invented in 1931 by the French engineer Ren
Jens Gravesen
CAGD
2008
113views more  CAGD 2008»
13 years 11 months ago
Symmetry of shape charts
For subdivision surfaces, the so-called shape chart can be used to characterize the curvature behavior at an extraordinary point a priori from the initial control net. Of late, it...
Ingo Ginkel, Georg Umlauf