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JSC
2011
110views more  JSC 2011»
12 years 10 months ago
Computing symmetric rank for symmetric tensors
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algebraic geometry approach. We give algorithms for computing the symmetric rank for...
Alessandra Bernardi, Alessandro Gimigliano, Monica...
MICCAI
2010
Springer
13 years 1 months ago
Symmetric Positive-Definite Cartesian Tensor Orientation Distribution Functions (CT-ODF)
Abstract. A novel method for estimating a field of orientation distribution functions (ODF) from a given set of DW-MR images is presented. We model the ODF by Cartesian tensor basi...
Yonas T. Weldeselassie, Angelos Barmpoutis, M. Ste...
BMVC
2010
13 years 1 months ago
Background Modelling on Tensor Field for Foreground Segmentation
The paper proposes a new method to perform foreground detection by means of background modeling using the tensor concept. Sometimes, statistical modelling directly on image values...
Rui Caseiro, Jorge Batista, Pedro Martins
TVCG
2010
147views more  TVCG 2010»
13 years 2 months ago
Superquadric Glyphs for Symmetric Second-Order Tensors
—Symmetric second-order tensor fields play a central role in scientific and biomedical studies as well as in image analysis and feature-extraction methods. The utility of displ...
Thomas Schultz, Gordon L. Kindlmann
TMI
2008
118views more  TMI 2008»
13 years 2 months ago
A Note on the Validity of Statistical Bootstrapping for Estimating the Uncertainty of Tensor Parameters in Diffusion Tensor Imag
Abstract--Diffusion tensors are estimated from magnetic resonance images (MRIs) that are diffusion-weighted, and those images inherently contain noise. Therefore, noise in the diff...
Ying Yuan, Hongtu Zhu, Joseph G. Ibrahim, Weili Li...
CORR
2002
Springer
112views Education» more  CORR 2002»
13 years 3 months ago
Determination of the structure of algebraic curvature tensors by means of Young symmetrizers
For a positive definite fundamental tensor all known examples of Osserman algebraic curvature tensors have a typical structure. They can be produced from a metric tensor and a fini...
Bernd Fiedler
TMI
2008
113views more  TMI 2008»
13 years 3 months ago
Seamless Warping of Diffusion Tensor Fields
To warp diffusion tensor fields accurately, tensors must be reoriented in the space to which the tensors are warped based on both the local deformation field and the orientation of...
Dongrong Xu, Xuejun Hao, Ravi Bansal, Kerstin J. P...
PAMI
2006
196views more  PAMI 2006»
13 years 3 months ago
Three-Dimensional Model-Based Object Recognition and Segmentation in Cluttered Scenes
Viewpoint independent recognition of free-form objects and their segmentation in the presence of clutter and occlusions is a challenging task. We present a novel 3D model-based alg...
Ajmal S. Mian, Mohammed Bennamoun, Robyn A. Owens
CORR
2007
Springer
105views Education» more  CORR 2007»
13 years 3 months ago
Empirical Evaluation of Four Tensor Decomposition Algorithms
Higher-order tensor decompositions are analogous to the familiar Singular Value Decomposition (SVD), but they transcend the limitations of matrices (second-order tensors). SVD is ...
Peter D. Turney
IJCV
2006
102views more  IJCV 2006»
13 years 3 months ago
A Novel Representation and Feature Matching Algorithm for Automatic Pairwise Registration of Range Images
Automatic registration of range images is a fundamental problem in 3D modeling of free-from objects. Various feature matching algorithms have been proposed for this purpose. Howeve...
Ajmal S. Mian, Mohammed Bennamoun, Robyn A. Owens