| V. Caselles, B. Coll, Snakes in movement, SIAM Journal of Numerical Analysis 33 (1996) 2445--2456. |
....hence involves regularizing constraints such as its smoothness and other variants. Object tracking remains of great research interest in computer vision. Methods which exploit boundary based information and or region based information have been proposed [9] Continuous contours, and snake models [2], for example, are used for estimating the motion along the boundaries of an object that is to be tracked. If the information being utilized in the estimation is very local, however, the result is prone to errors. To overcome this problem, geodesic active regions, a framework which incorporates ....
V. Caselles and B. Coll. Snakes in movement. SIAM Journal on Numerical Analysis, 33(12):2445--2456, 1996.
....approaches that evolve from an initial curve under the influence of external potentials, while being constrained by internal energies. These models are quite flexible due to the fact that no restriction is imposed on the shape of the target nor on the type of motion: rigid or deformable [3, 9, 16]. These methods require a good initialization step, since the initial contour converges iteratively toward the solution of a partial differential equation. Region based methods use a motion estimation segmentation technique. In this case the estimation of the velocity of the target is based on a ....
V. Caselles and B. Coll. Snakes in Movement. SIAM Journal on Numerical Analysis, 33:2445--2456, 1996.
....using measurements provided by geometrical or region based properties of the tracked object. In this direction there are two main approaches: the boundary based (they are usually referred as edge based approaches) rely on the information provided by the object boundaries (shape properties) [4, 8, 11] and are usually implemented using active contour models. On the other hand, the region based approaches rely on information provided by the entire region [14, 15] texture and motion based properties) Finally, there are some approaches that combine intensity, boundary and motionbased information ....
V. Caselles and B. Coll. Snakes in Movement. SIAM Journal on Numerical Analysis, 33:2445--2456, 1996.
....etc. if one changed the metric of the hypersurface by introducing e.g. a function of the intensity of the n dimensional image in which it evolves, one obtained a new evolution equation that is similar to (1) and can be implemented by the level set technique using an equation similar to (2) [1012, 9]. This was the starting point of a large body of work using these ideas in such areas as image segmentation [42, 13] motion analysis [35] and stereo [20] All this was done in the framework of the evolution of manifolds of codimension 1. In 1996, Ambrosio and Soner, inspired by ideas of De ....
V. Caselles and B. Coll. Snakes in Movement. SIAM Journal on Numerical Analysis, 33:24452456, December 1996.
....etc. if one changed the metric of the hypersurface by introducing e.g. a function of the intensity of the n dimensional image in which it evolves, one obtained a new evolution equation that is similar to (1) and can be implemented by the level set technique using an equation similar to (2) [13, 14, 15, 12]. This was the starting point of a large body of work using these ideas in such areas as image segmentation [49, 16] motion analysis [40] and stereo [25] All this was done in the framework of the evolution of manifolds of codimension 1 and the case of higher codimension has been less ....
V. Caselles and B. Coll. Snakes in Movement. SIAM Journal on Numerical Analysis, 33:24452456, December 1996.
.... Conclusion 21 RR n# 4011 4 Jos# Gomes and Olivier Faugeras 1 Introduction The important question of designing practical implicit representations of evolving manifolds for computer simulation purposes has been widely investigated by the Computational Physics [20, 24, 25, 28] and Computer Vision [4, 19, 27, 6, 3, 5, 7, 12, 18, 21] communities but also by the mathematicians [13, 14, 11, 16, 17] Very satisfactory solutions have been proposed for the case of planar curves and even for general hypersurfaces (nevertheless, the strongest theoretical results apply only to planar curves) The case of manifolds of higher ....
V. Caselles and B. Coll. Snakes in Movement. SIAM Journal on Numerical Analysis, 33:24452456, December 1996.
....robotique etc. Durant ces derni#res ann#es, plusieurs algorithmes de suivi et d estimation du mouvement d objets mobiles ont #t# propos# [7, 12, 14, 15] Dans beaucoup de ces travaux, le suivi est r#alis# en se basant sur des informations estim#es le long des fronti#res des objets mobiles [3, 6, 9, 11] et est g#n#ralement mis en oeuvre en utilisant un mod#le de contours actifs. D autres travaux se fondent plut#t sur l information fournie par la r#gion associ#e # l objet mobile an d obtenir de meilleurs r#sultats [1, 7, 14] Cet article s attaque de mani#re uni#e au probl#me du suivi d objets ....
V. Caselles and B. Coll. Snakes in Movement. SIAM Journal on Numerical Analysis, 33:24452456, 1996.
....are very well suited to tracking rigid and non rigid objects. ffl What is the most closely related work by others and how does this work dioeer Simultaneously to this work, the idea of applying the curve evolution theory to the tracking problem has been recently presented by Caselles in [10]. However this sequentially three step approach is very dioeerent from the unied approch we present in this article. Following their previous work on geodesic active contours, they rst start by detecting the contours of the objects to be tracked. An estimation of the velocity vector eld along the ....
.... regions and deformable contours [4, 26] and others that combine snake based tracking approaches with motion based region segmentation [6] Simultaneously to this work, the idea of applying the curve evolution theory to the tracking problem has been recently presented by Caselles and Coll in [10]. However this sequentially three step approach is very dioeerent from the unied approch we present in this article. Following their previous work on geodesic active contours, they rst start by detecting the contours of the objects to be tracked. An estimation of the velocity vector eld along the ....
V. Caselles and B. Coll. Snakes in Movement. SIAM Journal on Numerical Analysis, 33:24452456, December 1996.
....to the existing schemes. In order to achieve a faster algorithm, the front propagation methods are combined with a classic multi scale approach. Simultaneously to this work, the idea of applying the curve evolution theory to the tracking problem has been recently presented by Caselles and Coll in [CC96] However this sequentially three step approach is very dioeerent from the unied approach we present in this article. Following the work on geodesic active contours by [CKS95] they rst start by detecting the contours of the objects to be tracked. An estimation of the velocity vector eld along ....
V. Caselles and B. Coll. Snakes in Movement. SIAM Journal on Numerical Analysis, 33:24452456, December 1996.
....using measurements provided by geometrical or region based properties of the tracked object. In this direction there are two main approaches: the boundary based (they are usually referred as edge based approaches) rely on the information provided by the object boundaries (shape properties) [4, 8, 11] and are usually implemented using active contour models. On the other hand, the region based approaches rely on information provided by the entire region [14, 15] texture and motion based properties) Finally, there are some approaches that combine intensity, boundary and motionbased information ....
V. Caselles and B. Coll. Snakes in Movement. SIAM Journal on Numerical Analysis, 33:2445--2456, 1996.
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V. Caselles, B. Coll, Snakes in movement, SIAM Journal of Numerical Analysis 33 (1996) 2445--2456.
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V. Caselles and B. Coll. Snakes in Movement. SIAM Journal on Numerical Analysis, 33:2445--2456, 1996.
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