| D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3d shape and nonrigid motion. Arti cial Intelligence, 36:91-123, 1988. |
....choices of a function #(k) the so called a#ne invariant scale space has special conceptual meaning and importance. In this case the velocity v is given by v = #(k) k [2, 38, 12] In the context of image segmentation, various anisotropic models with v = #(k, #) have been studied just recently [27, 30, 15]. For a comprehensive overview of applications of (1.1) in other applied problems, we refer to [42] The analytical methods for mathematical treatment of (1.1) are strongly related to numerical techniques for computing curve evolutions. In the direct approach one seeks for a parameterization of ....
M. Kass, A. Witkin, and D. Terzopoulos, Constraints on deformable models: Recovering 3D shape and nongrid motion, Artificial Intelligence, 36 (1988), pp. 91--123.
....noise level, low contrast, and the need for reliable results. We use a model driven approach in order to segment the heart. Different geometrical models exist (see [10] for a survey) The original model based segmentation methods were 2D explicit contours [8] later on extended to surfaces in 3D [15, 3]. The levelset method is an alternative implicit surface representation due to Osher and Sethian [11] and Caselles [1] It has been introduced for segmenting medical images by Malladi and Sethian [9] Most shape recognition algorithms need to know the topology of objects to recover. The levelset ....
D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3d shape and non rigid motion. Artificial Intelligence, 36(1):91-123, 1988.
....reconstruction is ill posed, this simple functional needs to be regularized to give smooth solutions. Traditionally, the regularization terms are directly introduced for the parametric surface patch. Then, the regularized problem is formulated as a deformable surface models minimizing an energy [TWK88]. One possibility might be to consider the functional: c(X) as(X u , X v , X uu , X vv , X uv ) dudv. The second smoothing terms s( are a X u b X v c X uu d X uv e X vv . The minimization is solved by local methods, a set of PDEs provided by the Euler Lagrange ....
....time. This formulation is also not intrinsic, and is therefore dependent on parameterization. And note that a u and a v are not restricted to constants and thus make discontinuities possible because they give local control of the smoothing. Another major departure from these approaches [TWK88, FK98] is that our optimization method is not a local method based on a continuous formulation, but a global method based on a discretization of this functional. This is inspired by recent work that uses graph cut algorithms for stereomatching and reconstruction [RC98, Vek99, Ish00, BVZ01, KZ01, KZ02a, ....
D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3d shape and nonrigid motions. Artificial Intelligence, 1988.
....task is to estimate how the vertices of the undeformed triangular mesh are displaced during application of a load on the object. Displacement measurement has been approached in various ways. Shape estimation and tracking of deformable objects has been intensively studied in computer vision (e.g. [127, 53, 34, 49, 62, 74]) In mechanical engineering, optical measurement of strain has been developed (e.g. 83, 46, 80] as well as commercialized (e.g. GOM mbH: Gesellschaft fur Optische Messtechnik, Braunschweig, Germany ) In mechanical engineering, the strains considered are usually small and often only the ....
....of a deforming object nearly always requires multiple views, each view covering di#erent sets of 66 vertices. Di#erent approaches to deformation measurement are possible. In fact, many researchers have suggested the use of deformation models to regularize various computer vision tasks (e.g. [127, 98, 21, 22]) An approach employing the deformation model as a constraint in the vertex estimation is possible (e.g. 96] 67 Estimation of Discrete Green s Functions Estimation of discrete Green s functions based on Equation 2.1 can be viewed as a linear estimation problem. This view disregards the ....
D. Terzopoulos, A.P. Witkin, and M. Kaas. Constraints on deformable models: Recovering 3D shape and nonrigid motion. Artificial Intelligence, 36(1):91-- 123, 1988.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3d shape and nonrigid motion. Arti cial Intelligence, 36:91-123, 1988.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3d shape and nonrigid motion. Arti cial Intelligence, 36:91-123, 1988.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3D shape and nonrigid motion. Artificial Intelligence, 36(1):91--123, 1988.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3d shape and nonrigid motion. Artificial Intelligence, 36:91--123, 1988.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3d shape and nonrigid motion. Artificial Intelligence, 36:91--123, 1988.
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Demetri Terzopoulos, Andrew Witkin, and Michael Kass. Constraints on deformable models: recovering 3d shape and nonrigid motion. AI Journal, 36:91--123, 1988.
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D. Terzopoulos, A.P. Witkin, and M. Kass. Constraints on deformable models: Recovering 3d shape and nonrigid motion. Artificial Intelligence, 36(1):91--123, 1988.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3D shape and nonrigid motion. Artificial Intelligence, 36:91 -- 123, 1988.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3D shape and nonrigid motion. Artificial Intelligence, 36(1):91 -- 123, 1988.
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Demetri Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: recovering 3D shape and nonrigid motion. Artificial Intelligence, 36:91--123, January 1998.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3D shape and nonrigid motion. Artificial Intelligence, 36(1):91 -- 123, 1988.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3D shape and nonrigid motion. In Artificial Intelligence, volume 36(1), pages 91--123, 1988.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on Deformable Models: Recovering 3-D Shape and Non-rigid Motion. A.I., 36(1), 1988.
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D. Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: Recovering 3D shape and nonrigid motion. Artificial Intelligence, 36:91 -- 123, 1988.
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Demetri Terzopoulos, Andrew Witkin, and Michael Kass. Constraints on deformable models: recovering 3D shape and nonrigid motion. AI Journal, 36:91--123, 1988.
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Demetri Terzopoulos, A. Witkin, and M. Kass. Constraints on deformable models: recovering 3D shape and nonrigid motion. Artificial Intelligence, 36:91--123, January 1998.
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Terzopoulos, D., Witkin, A., Kass, M.: Constraints on deformable models: Recovering 3D shape and nonrigid motion. AI 36 (1988) 91--123
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Terzopoulos, D. and Witkin, A. and Kass, M.: Constraints on deformable models: Recovering 3-D shape and non-rigid motion, Artificial Intelligence, 36(1), pp. 91--123, 1988.
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D. Terzopoulos, A. Witkin, M. Kass, Constraints on deformable models: recovering 3D shape and nonrigid motion, Artificial Intelligence 36 (1) (1988) 91-123.
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Terzopoulos, D., Witkin, A., Kass, M.: Constraints on deformable models: recov- ering 3D shape and non-rigid motion. Artificial Intelligence. 36(1) (1988) 91-123
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Terzopoulos, D. and Witkin, A. and Kass, M.: Constraints on deformable models: Recovering 3-D shape and non-rigid motion,Ar- tificial Intelligence, 36(1), pp. 91--123, 1988.
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