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TIP
2008
98views more  TIP 2008»
14 years 11 months ago
On the Construction of Invertible Filter Banks on the 2-Sphere
The theories of signal sampling, filter banks, wavelets and "overcomplete wavelets" are well-established for the Euclidean spaces and are widely used in the processing a...
B. T. Thomas Yeo, Wanmei Ou, Polina Golland
SIAMAM
2010
104views more  SIAMAM 2010»
14 years 10 months ago
Guided Surface Waves on One- and Two-Dimensional Arrays of Spheres
Guided acoustic waves propagating along one- and two-dimensional arrays of rigid spheres are studied semi-analytically. The quasi-periodic wave field is constructed as a superposi...
I. Thompson, C. M. Linton
CORR
2012
Springer
158views Education» more  CORR 2012»
13 years 7 months ago
Sparse grid quadrature on products of spheres
This paper examines sparse grid quadrature on weighted tensor products (wtp) of reproducing kernel Hilbert spaces on products of the unit sphere S2 . We describe a wtp quadrature ...
Markus Hegland, Paul Leopardi
CORR
2008
Springer
93views Education» more  CORR 2008»
14 years 12 months ago
An optimization problem on the sphere
We prove existence and uniqueness of the minimizer for the average geodesic distance to the points of a geodesically convex set on the sphere. This implies a corresponding existen...
Andreas Maurer
DCG
2006
63views more  DCG 2006»
14 years 12 months ago
Common Tangents to Spheres in R3
We prove that four spheres in R3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.
Ciprian Borcea, Xavier Goaoc, Sylvain Lazard, Sylv...