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» On the Invariant Properties of Hyperbolic Bivariate Third-Or...
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CASC
2007
Springer
124views Mathematics» more  CASC 2007»
14 years 3 months ago
A Full System of Invariants for Third-Order Linear Partial Differential Operators in General Form
We find a full system of invariants with respect to gauge transformations L g-1 Lg for third-order hyperbolic linear partial differential operators on the plane. The operators are...
Ekaterina Shemyakova, Franz Winkler
CORR
2010
Springer
84views Education» more  CORR 2010»
13 years 11 months ago
Left-Inverses of Fractional Laplacian and Sparse Stochastic Processes
The fractional Laplacian (-)/2 commutes with the primary coordination transformations in the Euclidean space Rd: dilation, translation and rotation, and has tight link to splines, ...
Qiyu Sun, Michael Unser
IJCV
2006
165views more  IJCV 2006»
13 years 11 months ago
A Riemannian Framework for Tensor Computing
Tensors are nowadays a common source of geometric information. In this paper, we propose to endow the tensor space with an affine-invariant Riemannian metric. We demonstrate that ...
Xavier Pennec, Pierre Fillard, Nicholas Ayache