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Shape and motion from image streams under orthography: a factorization method
- INTERNATIONAL JOURNAL OF COMPUTER VISION
, 1992
"... Inferring scene geometry and camera motion from a stream of images is possible in principle, but is an ill-conditioned problem when the objects are distant with respect to their size. We have developed a factorization method that can overcome this difficulty by recovering shape and motion under orth ..."
Abstract
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Cited by 1094 (38 self)
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uses the singular-value decomposition technique to factor the measurement matrix into two matrices which represent object shape and camera rotation respectively. Two of the three translation components are computed in a preprocessing stage. The method can also handle and obtain a full solution from a
Shape-Based Image Retrieval Using Shape Matrix
"... Abstract —Retrieval image by shape similarity, given a template shape is particularly challenging, owning to the difficulty to derive a similarity measurement that closely conforms to the common perception of similarity by humans. In this paper, a new method for the representation and comparison of ..."
Abstract
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Cited by 1 (0 self)
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of shapes is present which is based on the shape matrix and snake model. It is scaling, rotation, translation invariant. And it can retrieve the shape images with some missing or occluded parts. In the method, the deformation spent by the template to match the shape images and the matching degree is used
Multileaf collimator shape matrix decomposition
, 2007
"... An important method in cancer treatment is the use of high energetic radiation. In order to kill tumor cells the patient is exposed to radiation that is delivered by a linear accelerator whose beam head can be rotated about the treatment couch. Inevitably the healthy tissue surrounding the tumor is ..."
Abstract
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Cited by 7 (2 self)
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An important method in cancer treatment is the use of high energetic radiation. In order to kill tumor cells the patient is exposed to radiation that is delivered by a linear accelerator whose beam head can be rotated about the treatment couch. Inevitably the healthy tissue surrounding the tumor is also exposed to some radiation. So the problem
An affine invariant interest point detector
- In Proceedings of the 7th European Conference on Computer Vision
, 2002
"... Abstract. This paper presents a novel approach for detecting affine invariant interest points. Our method can deal with significant affine transformations including large scale changes. Such transformations introduce significant changes in the point location as well as in the scale and the shape of ..."
Abstract
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Cited by 1467 (55 self)
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Abstract. This paper presents a novel approach for detecting affine invariant interest points. Our method can deal with significant affine transformations including large scale changes. Such transformations introduce significant changes in the point location as well as in the scale and the shape
Approximation of conservative fields and the element `edge shape matrix
- IEEE Trans. Magn
, 1998
"... Abstract ⎯ The accuracy of finite element approximation on tetrahedral elements is studied using the previously derived maximum eigenvalue condition. This condition is linked with the minimum singular value of the element ‘edge shape matrix ’ that characterizes the flatness of an element. A geometri ..."
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Cited by 3 (3 self)
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Abstract ⎯ The accuracy of finite element approximation on tetrahedral elements is studied using the previously derived maximum eigenvalue condition. This condition is linked with the minimum singular value of the element ‘edge shape matrix ’ that characterizes the flatness of an element. A
Approximated MLC shape matrix decomposition with interleaf collision constraint
- ALGORITHMIC OPERATIONS RESEARCH
, 2009
"... Shape matrix decomposition is a subproblem in radiation therapy planning. A given fluence matrix A has to be decomposed into a sum of shape matrices corresponding to homogeneous fields that can be shaped by a multileaf collimator (MLC). We solve the problem of minimizing the delivery time for an app ..."
Abstract
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Cited by 3 (2 self)
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Shape matrix decomposition is a subproblem in radiation therapy planning. A given fluence matrix A has to be decomposed into a sum of shape matrices corresponding to homogeneous fields that can be shaped by a multileaf collimator (MLC). We solve the problem of minimizing the delivery time
Orthogonal Laurent polynomials on the unit circle and snake-shaped matrix factorizations
, 2009
"... Let there be given a probability measure µ on the unit circle T of the complex plane and consider the inner product induced by µ. In this paper we consider the problem of orthogonalizing a sequence of monomials {zrk}k, for a certain order of the rk ∈ Z, by means of the Gram-Schmidt orthogonalization ..."
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Cited by 4 (0 self)
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-Schmidt orthogonalization process. This leads to a basis of orthonormal Laurent polynomials {ψk}k. We show that the matrix representation with respect to the basis {ψk}k of the operator of multiplication by z is an infinite unitary or isometric matrix allowing a ‘snake-shaped ’ matrix factorization. Here the ‘snake shape
Recovering non-rigid 3D shape from image streams
- Conf. on Computer Vision and Pattern Recognition
, 2000
"... This paper addresses the problem of recovering 3D nonrigid shape models from image sequences. For example, given a video recording of a talking person, we would like to estimate a 3D model of the lips and the full face and its internal modes of variation. Many solutions that recover 3D shape from 2D ..."
Abstract
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Cited by 270 (7 self)
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D image sequences have been proposed; these so-called structure-from-motion techniques usually assume that the 3D object is rigid. For example Tomasi and Kanade’s factorization technique is based on a rigid shape matrix, which produces a tracking matrix of rank 3 under orthographic projection. We
Results 1 - 10
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3,834