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Medical image segmentation via coupled curve evolution equations with global constraints

by Anthony Yezzi, Andy Tsai, Alan Willsky - IEEE Workshop On Mathematical Methods in Biomedical Image Analysis , 2000
"... In this work we modify the couple d curve evolution approach to snakes presente dby the authors in pre-vious work for bimodal and trimodal imagery through the intr oduction of glob al constr aints. The key idea, as b efor e, is to derive curve evolution equations which \pull apart " the values ..."
Abstract - Cited by 19 (4 self) - Add to MetaCart
In this work we modify the couple d curve evolution approach to snakes presente dby the authors in pre-vious work for bimodal and trimodal imagery through the intr oduction of glob al constr aints. The key idea, as b efor e, is to derive curve evolution equations which \pull apart " the values

A Fully Global Approach to Image Segmentation via Coupled Curve Evolution Equations

by Anthony Yezzi, Andy Tsai, Alan Willsky - Journal of Visual Communication and Image Representation , 2002
"... In this paper, we develop a novel region-based approach to snakes designed to optimally separate the values of certain image statistics over a known number of region types. Multiple sets of contours deform according to a coupled set of curve evolution equations derived from a single global cost func ..."
Abstract - Cited by 82 (13 self) - Add to MetaCart
In this paper, we develop a novel region-based approach to snakes designed to optimally separate the values of certain image statistics over a known number of region types. Multiple sets of contours deform according to a coupled set of curve evolution equations derived from a single global cost

A SIMPLE, FAST AND STABILIZED FLOWING FINITE VOLUME METHOD FOR SOLVING GENERAL CURVE EVOLUTION EQUATIONS

by Karol Mikula, Martin Bala ˇzovjech , 810
"... Abstract. A new simple Lagrangian method with favorable stability and efficiency properties for computing general plane curve evolutions is presented. The method is based on the flowing finite volume discretization of the intrinsic partial differential equation for updating the position vector of ev ..."
Abstract - Cited by 3 (2 self) - Add to MetaCart
Abstract. A new simple Lagrangian method with favorable stability and efficiency properties for computing general plane curve evolutions is presented. The method is based on the flowing finite volume discretization of the intrinsic partial differential equation for updating the position vector

A SIMPLE, FAST AND STABLE FLOWING FINITE VOLUME METHOD FOR SOLVING GENERAL CURVE EVOLUTION EQUATIONS

by Karol Mikula, Martin Bala ˇzovjech , 810
"... Abstract. A new simple Lagrangean method with favorable stability and efficiency properties for computing a general plane curve evolutions is presented. The method is based on the flowing finite volume discretization of the intrinsic partial differential equation for updating the position vector of ..."
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Abstract. A new simple Lagrangean method with favorable stability and efficiency properties for computing a general plane curve evolutions is presented. The method is based on the flowing finite volume discretization of the intrinsic partial differential equation for updating the position vector

Geodesic Active Contours

by Vicent Caselles, Ron Kimmel, Guillermo Sapiro , 1997
"... A novel scheme for the detection of object boundaries is presented. The technique is based on active contours evolving in time according to intrinsic geometric measures of the image. The evolving contours naturally split and merge, allowing the simultaneous detection of several objects and both in ..."
Abstract - Cited by 1425 (47 self) - Add to MetaCart
segmentation allows to connect classical “snakes ” based on energy minimization and geometric active contours based on the theory of curve evolution. Previous models of geometric active contours are improved, allowing stable boundary detection when their gradients suffer from large variations, including gaps

Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics

by Geir Evensen - J. Geophys. Res , 1994
"... . A new sequential data assimilation method is discussed. It is based on forecasting the error statistics using Monte Carlo methods, a better alternative than solving the traditional and computationally extremely demanding approximate error covariance equation used in the extended Kalman filter. The ..."
Abstract - Cited by 800 (23 self) - Add to MetaCart
covariance equation are avoided because storage and evolution of the error covariance matrix itself are not needed. The results are also better than what is provided by the extended Kalman filter since there is no closure problem and the quality of the forecast error statistics therefore improves. The method

Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

by M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa - Commun. Math. Phys , 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
Abstract - Cited by 540 (59 self) - Add to MetaCart
We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a

Elastically deformable models

by Demetri Terzopoulos - Computer Graphics , 1987
"... The goal of visual modeling research is to develop mathematical models and associated algorithms for the analysis and synthesis of visual information. Image analysis and synthesis characterize the domains of computer vision and computer graphics, respectively. For nearly three decades, the vision an ..."
Abstract - Cited by 883 (20 self) - Add to MetaCart
to control the creation and evolution of models. Mathematically, the approach prescribes systems of dynamic (ordinary and partial) differential equations to govern model behavior. These equations of motion may be

Active Contours without Edges

by Tony F. Chan, Luminita A. Vese , 2001
"... In this paper, we propose a new model for active contours to detect objects in a given image, based on techniques of curve evolution, Mumford--Shah functional for segmentation and level sets. Our model can detect objects whose boundaries are not necessarily defined by gradient. We minimize an energy ..."
Abstract - Cited by 1206 (38 self) - Add to MetaCart
In this paper, we propose a new model for active contours to detect objects in a given image, based on techniques of curve evolution, Mumford--Shah functional for segmentation and level sets. Our model can detect objects whose boundaries are not necessarily defined by gradient. We minimize

A Signal Processing Approach To Fair Surface Design

by Gabriel Taubin , 1995
"... In this paper we describe a new tool for interactive free-form fair surface design. By generalizing classical discrete Fourier analysis to two-dimensional discrete surface signals -- functions defined on polyhedral surfaces of arbitrary topology --, we reduce the problem of surface smoothing, or fai ..."
Abstract - Cited by 654 (15 self) - Add to MetaCart
, to accommodate different types of constraints. Some constraints can be imposed without any modification of the algorithm, while others require the solution of a small associated linear system of equations. In particular, vertex location constraints, vertex normal constraints, and surface normal discontinuities
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