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IJCV
2006
165views more  IJCV 2006»
14 years 13 days 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
CVPR
2010
IEEE
14 years 4 months ago
Action Classification on Product Manifolds
Videos can be naturally represented as multidimensional arrays known as tensors. However, the geometry of the tensor space is often ignored. In this paper, we argue that the under...
Yui Man Lui, J Ross Beveridge, Michael Kirby
MM
2005
ACM
122views Multimedia» more  MM 2005»
14 years 6 months ago
Image clustering with tensor representation
We consider the problem of image representation and clustering. Traditionally, an n1 × n2 image is represented by a vector in the Euclidean space Rn1×n2 . Some learning algorith...
Xiaofei He, Deng Cai, Haifeng Liu, Jiawei Han
AVSS
2005
IEEE
14 years 6 months ago
Multi-modal face image super-resolutions in tensor space
Face images of non-frontal views under poor illumination with low resolution reduce dramatically face recognition accuracy. To overcome these problems, super-resolution techniques...
Kui Jia, Shaogang Gong
SIGIR
2006
ACM
14 years 6 months ago
Tensor space model for document analysis
Vector Space Model (VSM) has been at the core of information retrieval for the past decades. VSM considers the documents as vectors in high dimensional space. In such a vector spa...
Deng Cai, Xiaofei He, Jiawei Han
CVPR
2007
IEEE
15 years 2 months ago
Segmenting Images on the Tensor Manifold
In this note, we propose a method to perform segmentation on the tensor manifold, that is, the space of positive definite matrices of given dimension. In this work, we explicitly ...
Yogesh Rathi, Allen Tannenbaum, Oleg V. Michailovi...
CVPR
2007
IEEE
15 years 2 months ago
A Graph Cut Approach to Image Segmentation in Tensor Space
This paper proposes a novel method to apply the standard graph cut technique to segmenting multimodal tensor valued images. The Riemannian nature of the tensor space is explicitly...
Allen Tannenbaum, James G. Malcolm, Yogesh Rathi