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PG
2007
IEEE
14 years 3 months ago
Extending Catmull-Clark Subdivision and PCCM with Polar Structures
We complete and bring together two pairs of surface constructions that use polynomial pieces of degree (3,3) to associate a smooth surface with a mesh. The two pairs complement ea...
Ashish Myles, Kestutis Karciauskas, Jörg Pete...
ADCM
2008
119views more  ADCM 2008»
13 years 7 months ago
Bounds on the dimensions of trivariate spline spaces
We derive upper and lower bounds on the dimensions of trivariate spline spaces defined on tetrahedral partitions. The results hold for general partitions, and for all degrees of sm...
Peter Alfeld, Larry L. Schumaker
ESANN
2008
13 years 10 months ago
Consistency of Derivative Based Functional Classifiers on Sampled Data
In some applications, especially spectrometric ones, curve classifiers achieve better performances if they work on the m-order derivatives of their inputs. This paper proposes a sm...
Fabrice Rossi, Nathalie Villa
IROS
2006
IEEE
94views Robotics» more  IROS 2006»
14 years 2 months ago
Spline-Based Robot Navigation
— This paper offers a path planning algorithm based on splines. The sought path avoids the obstacles, and is smooth and short. Smoothing is used as an integral part of the algori...
Evgeni Magid, Daniel Keren, Ehud Rivlin, Irad Yavn...
SMI
2010
IEEE
228views Image Analysis» more  SMI 2010»
13 years 7 months ago
Hierarchical Spline Approximation of the Signed Distance Function
We present a method to compute the medial axis of a smooth curve or surface by using PHT-spline (polynomial splines over hierarchical T-meshes) hierarchical approximation. In part...
Xinghua Song, Bert Jüttler, Adrien Poteaux