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检索条件"任意字段=IEEE Workshop on Variational and Level Set Methods in Computer Vision, VLSM 2001"

共 53 条记录，以下是41-50 订阅

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Regularization of orthonormal vector sets using coupled PDE's

Regularization of orthonormal vector sets using coupled PDE'...

引用

ieee workshop on variational and level set methods in computer vision

作者： D. Tschumperle R. Deriche I.N.R.I.A. Sophia-Antipolis France

ISBN: (纸本)076951278X

We address the problem of restoring, while presenting possible discontinuities, fields of noisy orthonormal vector sets, taking the orthonormal constraints explicity into account. We develop a variational solution for the general case where each image feature may correspond to multiple n-D orthogonal vectors of unit norms. We first formulate the problem in a new variational framework, where discontinuities and orthonormal constraints are preserved by means of constrained minimization and /spl Phi/-function regularization, leading to a set of coupled anisotropic diffusion PDE. A geometric interpretation of the resulting equations, coming from the field of solid mechanics, is proposed for the 3D case. Two interesting restrictions of our framework are also tackled: the regularization of 30 rotation matrices and the direction diffusion (the parallel with previous works is made). Finally, we present a number of denoising results and applications.

关键词： Image restoration Color Anisotropic magnetoresistance Equations Solids Noise reduction Application software computer vision Image motion analysis Functional analysis

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Multiple contour finding and perceptual grouping using minimal paths

Multiple contour finding and perceptual grouping using minim...

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ieee workshop on variational and level set methods in computer vision

作者： L.D. Cohen CEREMADE UMR 7534 Université Paris-Dauphine Paris France

ISBN: (纸本)076951278X

We present a new approach for finding a set of contour curves in an image. We consider the problem of perceptual grouping and contour completion, where the data is a set of points in the image. A new method to find complete curves from a set of contours or edge points is presented. Our approach is based on a previous work on finding contours as minimal paths between two end points using the fast marching algorithm (Cohen et al., 1997). Given a set of key points, we find the pairs of points that have to be linked. The paths that join them complete the initial set of contours and allow us to close them. In a second part, we propose a scheme that does not need key points for initialization. Key points are automatically selected from a larger set of admissible points. We illustrate the capability of our approach to close contours with synthetic examples.

关键词： Active contours level set Topology Shape Humans computer vision Energy measurement Stochastic processes

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A new variational image restoration applied to 3D angiographies

A new variational image restoration applied to 3D angiograph...

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ieee workshop on variational and level set methods in computer vision

作者： K. Krissian Departamento de Informatica y Sistemas Campus de Tafira Universidad de Las Palmas de Gran Canaria Spain

ISBN: (纸本)076951278X

We propose a new variational restoration method. We express the energy as the sum of a data attachment term. A contour smoothing term and an enhancement term. The contour smoothing is achieved by minimizing the square of the derivative of the intensity in the contour direction. The enhancement is obtained by minimizing the square of the gradient norm in each estimated region, and acts like shock filters. The minimization of the energy is then done using the conjugate gradient algorithm. We present an algorithm which allows us to compute easily the gradient of the energy in the discrete case, without calculating the Euler-Lagrange equations. Experiments have been carried out on both synthetic and real images applied to 3D angiographies.

关键词： Image restoration Image segmentation Gaussian noise Smoothing methods Equations Noise reduction Angiography Minimization methods Convolution Electric shock

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On the incorporation of shape priors into geometric active contours

On the incorporation of shape priors into geometric active c...

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ieee workshop on variational and level set methods in computer vision

作者： Yunmei Chen S. Thiruvenkadam H.D. Tagare Feng Huang D. Wilson E.A. Geiser Department of Mathematics University of Florida Gainesville FL USA Department of Diagnostic Radiology Yale University New Heaven CT USA Division of Cardiology Department of Medicine University of Florida Gainesville FL USA

ISBN: (纸本)076951278X

A novel model for boundary determination that incorporates prior shape information into geometric active contours is presented. The basic idea of this model is to minimize the energy functional depending on the information of the image gradient and the shape of interest, so that the boundary of the object can be captured either by higher magnitude of the image gradient or by the prior knowledge of its shape. The level set form of the proposed model is also provided. We present our experimental results on some synthetic images, functional MR brain images, and ultrasound images for which the existing active contour methods are not applicable. The existence of the solution to the proposed minimization problem is also discussed.

关键词： Shape Active contours level set Solid modeling Biomedical imaging Ultrasonic imaging Deformable models Equations Mathematics Cardiology

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Affine invariant edge completion with affine geodesics

Affine invariant edge completion with affine geodesics

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ieee workshop on variational and level set methods in computer vision

作者： A.A. Handzel T. Flash Faculty of Mathematics and Computer Science Weizmann Institute of Science Rehovot Israel Institute for Systems Research University of Maryland College Park MD USA

ISBN: (纸本)076951278X

Edge completion is the interpolation of gaps between edge segments which are extracted from an image. We provide a new analytic solution to this problem within equi-affine plane geometry which is the natural framework for the interpolation of pairs of line segments. The desired curves are the geodesics of equi-affine plane geometry, namely parabolic arcs, which generalize the connection of points by straight lines in Euclidean geometry. Whereas most common methods of edge completion are invariant only under the group of Euclidean motions, SE(2), this solution has the advantage of being invariant under the larger group of equi-affine transformations, SA(2), that is more relevant to computer vision. In addition to these geometric qualities, the parabola is a simple algebraic curve which renders it computationally attractive, especially in comparison to the popular elastica curves.

关键词： Image segmentation Interpolation Geometry Image edge detection Stochastic processes Mathematics computer science computer vision Rendering (computer graphics) Image analysis

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Flame front matching and tracking in PLIF images using geodesic paths and level sets

Flame front matching and tracking in PLIF images using geode...

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ieee workshop on variational and level set methods in computer vision

作者： R. Abu-Gharbieh C. Kaminski T. Gustavsson G. Hamarneh Department of Signals and Systems Chalmers University of Technology Goteborg Sweden Department of Chemical Engineering University of Cambridge Cambridge UK

ISBN: (纸本)076951278X

This paper treats the problem of tracking contours of flames captured by PLIF imaging using geodesic paths and level sets. Successive images of the combustion process captured in controlled experiments are smoothed by nonlinear diffusion filtering then active contour models are used to obtain the curves that most accurately describe the frame boundary. These curves are matched using the concept of shortest path (geodesic) computation on a cost surface. The level set representation is employed so that complex curve evolutions including those with topological changes in their structures could be handled. A critical point detection algorithm is used to identify important curve landmarks that are then used to modify the cost surface so as to improve the quality and stability of the matching. Accordingly, the propagation of curves representing successive flame contours within a sequence is obtained and used for studying the flame dynamics.

关键词： Fires level set Combustion Process control Active filters Filtering Active contours Geophysics computing Computational efficiency Detection algorithms

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A summary of geometric level-set analogues for a general class of parametric active contour and surface models

A summary of geometric level-set analogues for a general cla...

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ieee workshop on variational and level set methods in computer vision

作者： Chenyang Xu A. Yezzi J.L. Prince Johns Hopkins University USA Georgia Institute of Technology USA

ISBN: (纸本)076951278X

Geometric active contours (GAC) and surfaces (GAS) implemented via level set techniques enjoy many advantages over parametric active contours (PAC) and surfaces (PAS), such as computational stability and the ability to change topology during deformation. While many capabilities of earlier PAC and PAS have been reproduced by various GAC and GAS, and while relationships have been discussed for a variety of specific cases, a comprehensive accounting of the connections between these two worlds (particularly regarding rigid forces) has not been consolidated thus far. We present the precise mathematical relationships between the two for an extensive family of both active contour and surface models, encompassing spatially varying coefficients, both tension and rigidity, and both conservative and non-conservative external forces. The result is a very general geometric formulation for which the intuitive design principles of PAC and PAS can be applied. We also point out which type of PAC and PAS methodologies cannot be adapted to the geometric level set framework. We conclude by demonstrating several geometric adaptations of specific PAC and PAS in several simulations.

关键词： Active contours Picture archiving and communication systems level set Solid modeling Shape Parametric statistics Deformable models Stability Topology Mathematical model

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Image restoration by minimizing objective functions with nonsmooth data-fidelity terms

Image restoration by minimizing objective functions with non...

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ieee workshop on variational and level set methods in computer vision

作者： M. Nikolova Cnrs Ura-enst Dpt.tsi ENST Paris France

ISBN: (纸本)076951278X

We present a theoretical study of the recovery of images x from noisy data y by minimizing a regularized cost-function F(x,y)=/spl Psi/(x,y)+/spl alpha//spl Phi/(x), where /spl Psi/ is a data-fidelity term, /spl Phi/ is a smooth regularisation term and /spl alpha/>0 is a parameter. Generally /spl Psi/ is a smooth function; only a few papers make an exception. Non-smooth data-fidelity terms are avoided in image processing. In spite of this, we consider both smooth and non-smooth data-fidelity terms. Our ambition is to catch essential features exhibited by the local minimizers of F in relation with the smoothness of /spl Psi/. Cost-functions with non-smooth data-fidelity exhibit a strong mathematical property which can be used in various ways. We then construct a cost-function allowing aberrant data to be detected and selectively smoothed. The obtained results advocate the use of non-smooth data-fidelity terms.

关键词： Image restoration Image processing Noise reduction Biomedical imaging Bayesian methods Markov random fields

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Fiber tract mapping from diffusion tensor MRI

Fiber tract mapping from diffusion tensor MRI

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ieee workshop on variational and level set methods in computer vision

作者： B.C. Vemuri Y. Chen M. Rao T. McGraw Z. Wang T. Mareci Department of Cise University of Florida Gainesville FL USA Department ofMathematics University of Florida Gainesville FL USA Department of Biochemistry University of Florida Gainesville FL USA

ISBN: (纸本)076951278X

To understand evolving pathology in the central nervous system (CNS) and develop effective treatments, it is essential to correlate the nerve fiber connectivity with the visualization of function. Diffusion tensor imaging (DTI) can provide the fundamental information required for viewing structural connectivity. We present a novel algorithm for automatic fiber tract mapping in the CNS specifically, the spinal cord. The automatic fiber tract mapping problem is solved in two phases, namely a data smoothing phase and a fiber tract mapping phase. In the former, smoothing is achieved via a new weighted total variation (TV)-norm minimization (for vector-valued data) which strives to smooth while retaining all relevant detail. For the fiber tract mapping, a smooth 3D vector field indicating the dominant anisotropic direction at each spatial location is computed from the smoothed data. Fiber tracts are then determined as the smooth integral curves of this vector field in a variational framework.

关键词： Tensile stress Magnetic resonance imaging Diffusion tensor imaging Smoothing methods Pathology Central nervous system Nerve fibers Data visualization Spinal cord Anisotropic magnetoresistance

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Stereoscopic segmentation

Stereoscopic segmentation

引用

International Conference on computer vision (ICCV)

作者： A.J. Yezzi S. Soatto Electrical and Computer Engineering Georgia Institute of Technology Atlanta GA USA Washington University Saint Louis USA Computer Science University of California Los Angeles Los Angeles CA USA

ISBN: (纸本)0769511430

We cast the problem of multiframe stereo reconstruction of a smooth shape as the global region segmentation of a collection of images of the scene. Dually, the problem of segmenting multiple calibrated images of an object becomes that of estimating the solid shape that gives rise to such images. We assume that the radiance has smooth statistics. This assumption covers Lambertian scenes with smooth or constant albedo as well as fine homogeneous textures, which are known challenges to stereo algorithms based on local correspondence. We pose the segmentation problem within a variational framework, and use fast level set methods to approximate the optimal solution numerically. Our algorithm does nor work in the presence of strong textures, where traditional reconstruction algorithms do. It enjoys significant robustness to noise under the assumptions it is designed for.

关键词： Image segmentation Shape Layout Stereo image processing Image reconstruction Solids Statistics level set Reconstruction algorithms Noise robustness

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