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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21-30 订阅

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Fast surface reconstruction using the level set method

Fast surface reconstruction using the level set method

引用

1st ieee workshop on variational and level set methods in computer vision

作者： Zhao, HK Osher, S Fedkiw, R Univ Calif Irvine Dept Math Irvine CA 92697 USA

ISBN: (纸本)076951278X

In this paper we describe new formulations and develop fast algorithms for implicit surface reconstruction based on variational and partial differential equation (PDE) methods. In particular we use the level set method and fast sweeping and tagging methods to reconstruct surfaces from scattered data set. The data set might consist of points, curves and/or surface patches. A weighted minimal surface-like model is constructed and its variational level set formulation is implemented with optimal efficiency. The reconstructed surface is smoother than piecewise linear and has a natural scaling in the regularization that allows varying flexibility according to the local sampling density. As is usual with the level set method we can handle complicated topology and deformations, as well as noisy or highly non-uniform data sets easily. The method is based on a simple rectangular arid, although adaptive and triangular grids are also possible. Some consequences, such as hole filling capability, are demonstrated, as well as the viability and convergence of our new fast tagging algorithm.

关键词： implicit surface partial differential equations variational formulation convection minimal surface

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A level set algorithm for minimizing the Mumford-Shah functional in image processing

A level set algorithm for minimizing the Mumford-Shah functi...

引用

1st ieee workshop on variational and level set methods in computer vision

作者： Chan, TF Vese, LA Univ Calif Los Angeles Dept Math Los Angeles CA 90095 USA

ISBN: (纸本)076951278X

We show how the piecewise-smooth Mumford-Shah segmentation problem [25] can be solved using the level set method of S. Osher and J. sethian [26]. The obtained algorithm can be simultaneously used to denoise, segment, detect-extract edges, and perform active contours. The proposed model is also a generalization of a previous active contour model without edges, proposed by the authors in [12], and of its extension to the case with more than two segments for piecewise-constant segmentation [11]. Based on the Four Color Theorem, we can assume that in general, at most two level set functions are sufficient to detect and represent distinct objects of distinct intensities, with triple junctions, or T-junctions.

关键词： Numerical methods

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A variational approach for the segmentation of the left ventricle in MR cardiac images

A variational approach for the segmentation of the left vent...

引用

1st ieee workshop on variational and level set methods in computer vision

作者： Paragios, N Siemens Corp Res Princeton NJ 08540 USA

ISBN: (纸本)076951278X

This paper proposes a new front propagation method to segment MR cardiac images. This framework is based on the Geodesic Active Region Model, refers to a coupled propagation of two curves (inner and outer cardiac contours) and integrates boundary and region-based segmentation modules. The boundary information is introduced to the objective function rising the gradient vector flow framework while the region information using continuous probability density functions. The defined objective function is minimized rising a gradient descent method and the obtained motion equations are implemented using a level set approach. A recently introduced numerical approximation scheme with fast convergence rate and stable behavior is used to implement the level set motion equations. Finally, according to the application the propagations of the level set contours are coupled rising their relative di. stances. Encouraging experimental results are provided using real data.

关键词： Equations of motion

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variational problems and PDE's on implicit surfaces

Variational problems and PDE's on implicit surfaces

引用

1st ieee workshop on variational and level set methods in computer vision

作者： Bertalmío, M Sapiro, G Cheng, LT Osher, S Univ Minnesota Minneapolis MN 55455 USA

ISBN: (纸本)076951278X

A novel framework for solving variational problems and partial differential equations for scalar and vector-valued data defined on surfaces is introduced in this paper The key idea is to implicitly represent the surface as the level set of a higher dimensional function, and solve the surface equations in a fixed Cartesian coordinate system using this new embedding function. The equations are then both intrinsic to the surface and defined in the embedding space. This approach thereby eliminates the need for performing complicated and not-accurate computations on triangulated surfaces, as it is commonly done in the literature. We describe the framework and present examples in computer graphics and image processing applications, including texture synthesis, flowfield visualization, as well as image and vector field intrinsic regularization for data defined on 3D surfaces.

关键词： variational problems Partial Differential Equations level-set method implicit surfaces Image Processing computer Graphics flow visualization regularization pattern formation texture synthesis

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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...

引用

1st ieee workshop on variational and level set methods in computer vision

作者： Abu-Gharbieh, R Kaminski, C Gustavsson, T Hamarneh, G Chalmers Univ Technol Dept Signals & Syst S-41296 Gothenburg Sweden

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, non-linear diffusion filtering then active contour models are used to obtain the curves that most accurately describe the flame boundary. These curves are matched using the concept of shortest path (geodesic) computation on a cost surface. 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： Geodesy

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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...

引用

1st ieee workshop on variational and level set methods in computer vision

作者： Xu, CY Yezzi, A Prince, JL Johns Hopkins Univ Baltimore MD 21218 USA

ISBN: (纸本)076951278X

Geometric active contours (GACs) and surfaces (GASs) implemented via level set techniques enjoy many advantages over parametric active contours (PACs) and surfaces (PASs), such as computational stability and the ability to change topology during deformation. While many capabilities of earlier PACs and PASs have been reproduced by various GACs and GASs, 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. In this paper 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 PACs and PASs 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 PACs and PASs in several simulations.

关键词： Numerical methods

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Two variational models for multispectral image classification 3rd

引用

3rd International workshop on Energy Minimization methods in computer vision and Pattern Recognition

作者： Samson, C Blanc-Féraud, L Aubert, G Zerubia, J UNSA CNRS Ariana Joint Res Grp 13S F-06902 Sophia Antipolis France INRIA F-06902 Sophia Antipolis France Univ Nice CNRS UMR 6621 Lab JA Dieudonne F-06108 Nice 2 France

ISBN: (纸本)3540425233

We propose two variational models for supervised classification of multispectral data. Both models take into account contour and region information by minimizing a functional compound of a data term (2D surface integral) taking into account the observation data and knowledge on the classes, and a regularization term (1D length integral) minimizing the length of the interfaces between regions. This is a free discontinuity problem and we have proposed two different ways to reach such a minimum, one using a Gamma-convergence approach and the other using a level set approach to model contours and regions. Both methods have been previously developed in the case of monospectral observations. Multispectral techniques allow to take into account information of several spectral bands of satellite or aerial sensors. The goal of this paper is to present the extension of both variational classification methods to multispectral data. We show an application on real data from SPOT (XS mode) satellite for which we have a ground truth. Our results are also compared to results obtained by using a hierarchical stochastic model.

关键词： classification multispectral images Gamma-convergence level-set methods active regions active contours

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Stereoscopic segmentation

Stereoscopic segmentation

引用

8th International Conference on computer vision

作者： Yezzi, A.J. Soatto, S. Georgia Institute of Technology Electrical and Computer Engineering 777 Atlantic Dr. N.W. Atlanta GA 30332 United States

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 not 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： Stereo vision

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Diffusion-snakes: combining statistical shape knowledge and image information in a variational framework

Diffusion-snakes: combining statistical shape knowledge and ...

引用

ieee workshop on variational and level set methods in computer vision

作者： D. Cremers C. Schnorr J. Weickert Computer Vision Graphics and Pattern Recognition Group Department of Mathematics and Computer Science University of Mannheim Mannheim Germany

ISBN: (纸本)076951278X

We present a modification of the Mumford-Shah functional and its cartoon limit which allows the incorporation of statistical shape knowledge in a single energy functional. We show segmentation results on artificial and real-world images with and without prior shape information. In the case of occlusion and strongly cluttered background the shape prior significantly improves segmentation. Finally we compare our results to those obtained by a level-set implementation of geodesic active contours.

关键词： Image segmentation level set Active contours Spline Shape control Active shape model Equations Statistical learning computer vision computer graphics

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On affine invariance in the Beltrami framework for vision

On affine invariance in the Beltrami framework for vision

引用

ieee workshop on variational and level set methods in computer vision

作者： N.A. Sochen Department of Applied Mathematics University of Tel-Aviv Tel-Aviv Israel

ISBN: (纸本)076951278X

We use the geometric Beltrami framework to incorporate and explain some of the known invariant flows, e.g., the equi-affine invariant flow. It is also demonstrated that the new concepts put forward in this framework enable us to construct new invariant flows for the case where the codimension is greater than one, e.g., for color images and video.

关键词： Shape Equations computer vision Geometry Mathematics Color Image recognition Surface treatment Distance measurement Volume measurement

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