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» Polynomial frames on the sphere
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MP
2010
172views more  MP 2010»
14 years 10 months ago
Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
In this paper, we consider approximation algorithms for optimizing a generic multi-variate homogeneous polynomial function, subject to homogeneous quadratic constraints. Such opti...
Simai He, Zhening Li, Shuzhong Zhang
ADCM
2010
95views more  ADCM 2010»
14 years 12 months ago
Pairs of oblique duals in spaces of periodic functions
Abstract. We construct non-tight frames in finite-dimensional spaces consisting of periodic functions. In order for these frames to be useful in practice one needs to calculate a d...
Ole Christensen, Say Song Goh
DCG
1999
58views more  DCG 1999»
14 years 11 months ago
Nonexistence of Certain Spherical Designs of Odd Strengths and Cardinalities
A spherical -design on Sn-1 is a finite set such that, for all polynomials f of degree at most , the average of f over the set is equal to the average of f over the sphere Sn-1 . ...
Peter Boyvalenkov, Danyo Danev, Svetla Nikova
ICRA
2009
IEEE
106views Robotics» more  ICRA 2009»
15 years 6 months ago
Oriented bounding surfaces with at most six common normals
— We present a new type of oriented bounding surfaces, which is particularly well suited for shortest distance computations. The bounding surfaces are obtained by considering sur...
Margot Rabl, Laureano González-Vega, Bert J...
PG
2000
IEEE
15 years 4 months ago
Interpolating and Approximating Moving Frames Using B-splines
The representation of moving geometry entities is an important issue in the fields of CAD/CAM and robotics motion design. We present a method to interpolate the moving frame homog...
Lizhuang Ma, Tony K. Y. Chan, Zhongding Jiang