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13 years 8 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
CVPR
2012
IEEE
13 years 5 days ago
Generalized Multiview Analysis: A discriminative latent space
This paper presents a general multi-view feature extraction approach that we call Generalized Multiview Analysis or GMA. GMA has all the desirable properties required for cross-vi...
Abhishek Sharma, Abhishek Kumar, Hal Daumé ...
CVPR
2012
IEEE
13 years 5 days ago
Micro Phase Shifting
We consider the problem of shape recovery for real world scenes, where a variety of global illumination (interreflections, subsurface scattering, etc.) and illumination defocus e...
Mohit Gupta, Shree K. Nayar
ECCV
2006
Springer
15 years 11 months ago
A Theory of Spherical Harmonic Identities for BRDF/Lighting Transfer and Image Consistency
Abstract. We develop new mathematical results based on the spherical harmonic convolution framework for reflection from a curved surface. We derive novel identities, which are the ...
Dhruv Mahajan, Ravi Ramamoorthi, Brian Curless
TPHOL
2005
IEEE
15 years 3 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison