A. Amini and J. Duncan. Bending and Stretching Models for LV wall Motion Analysis from Curves and Surfaces. In Image and Vision Computing, volume 10, pages 418430, August 1992.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....studied by medical image processing groups. Since its creation in 1989, our group has pioneered work in the use of deformable models to extract the left ventricle [5, 17, 6, 8, 19, 16, 7, 13] Other groups have also contributed to the understanding of the complex deformation of the ventricle [4, 31, 3, 30, 36, 29]. Over the last decade, many surface reconstruction problems have been formulated as the minimization of an energy functional corresponding to a model of the surface. Using deformable models and templates, the extraction of a shape is obtained through minimization of an energy composed of an ....

A. Amini and J. Duncan. Bending and stretching models for LV wall motion analysis from curves and surfaces. Image and vision computing, 10:418430, August 1992.

....the limitations on the kind of deformation, the local topology of an object can be used. In order to do so, we make a simplifying assumption that the objects under investigation are surfaces in 3D. The parametric representation of a surface can be recovered by fitting a second degree polynomial [2, 8], and the differential geometric information thus obtained can be used to estimate motion and correspondence. Consider the point p 0 on S, the surface before motion. The problem of finding the counterpart of p 0 naturally precedes modeling the motion between the two. Thus the generic procedure of ....

....Evaluate the hypothesis by plugging the motion model (a j ; b j ) in Eq. 2) 5. Select the motion model and the correspondence with the smallest error. 3. 4 Amini s Algorithm Amini and Duncan addressed the problem of estimation of correspondences in the sequences of 3D images of left ventricle [2]. Their algorithm is inspired by the idealized thin plate model, that can be adapted to modeling bending deformation, and by the conformal motion model corresponding to non uniform stretching deformation. The combined bending stretching energy is defined as ffl ik = be f( 1 ) i Gamma ( ....

A. A. Amini and J. S. Duncan. Bending and stretching models for LV wall motion analysis from curves and surfaces. Image and Vision Computing, 10(6):418--430, 1992.

....studied by medical image processing groups. Since its creation in 1989, our group has pioneered work in the use of deformable models to extract the left ventricle [5, 17, 6, 8, 19, 16, 7, 13] Other groups have also contributed to the understanding of the complex deformation of the ventricle [4, 31, 3, 30, 36, 29]. Over the last decade, many surface reconstruction problems have been formulated as the minimization of an energy functional corresponding to a model of the surface. Using deformable models and templates, the extraction of a shape is obtained through minimization of an energy composed of an ....

A. Amini and J. Duncan. Bending and stretching models for LV wall motion analysis from curves and surfaces. Image and vision computing, 10:418430, August 1992.

....and surface model for recovering the heart left ventricle from ultrasound images. McEachen and Duncan [52] segment the endocardium boundary in 2D time sequences coming from dioeerent imaging modalities. They study the heart motion by comparing consecutive contours two by two. Amini and Duncan [1] track the heart left ventricle in 2D and 3D image sequences. They extract the displacement eld between successive instants and they apply a smoothing lter to regularize it. McInerney and Terzopoulos [54] segment a 3D sequence using a parameterized surface discretized through the nite element ....

A. Amini and J. Duncan. Bending and stretching models for LV wall motion analysis from curves and surfaces. Image and Vision Computing, 10(6):418430, Aug. 1992.

....the LV motion. All of them attempt to find the correspondence between pairs of successive images. Most of the proposed methods in 3D define a model of the shape of LV surfaces (endocardium and or epicardium) using classical snake like models (McInerney and Terzopoulos, 1995; Shi et al. 1994; Amini and Duncan, 1992), spring mass meshes (Nastar, 1994) or more constrained generic surfaces such as freedeformed superquadrics (Bardinet et al. 1996; Bardinet et al. 1995) or volumetric superquadrics (Park et al. 1996; Park et al. 1994) The tracking is processed using conservation 2 J. Declerck et al. ....

....superquadrics (Park et al. 1996; Park et al. 1994) The tracking is processed using conservation 2 J. Declerck et al. constraints based on proximity constraints (Bardinet et al. 1996; Bardinet et al. 1995) differential properties of the surface (Clarysse et al. 1995; Shi et al. 1994; Amini and Duncan, 1992; Goldgof et al. 1988) or is directly computed from displacement or velocity information obtained in some specific MR imaging techniques: tags (Radeva et al. 1996; Kraitchman et al. 1995; Young et al. 1995; Denney and Prince, 1994; Park et al. 1994) or phase contrast (Meyer et al. 1995; Shi ....

Amini, A. and Duncan, J. (1992). Bending and stretching models for LVwall motion analysis from curves and surfaces. In Image and Vision Computing, Vol. 10, pp. 418--430.

.... calculated may be used, such as the daemon technique of Thirion [90] A compromise between manually specified points and the processing of every voxel may be obtained by preprocessing the volumes so that features such as edges, ridge lines [55,91,26] surface distance [64] or surface curvature [79,2,45] are used. These techniques attempt to extract the attributes of the data that are most useful for matching, although, in some cases it may 11 be difficult for a completely automatic preprocessing technique to extract features without destroying at least some potentially useful matching ....

....of the left ventricle can be described by two well behaved surfaces, the endocardium is the inner surface, and the epicardium is the outer surface. By modeling the stretching of the heart as a conformal stretch, measures such as Gaussian curvature may be used to gauge surface point correspondence [2,45]. Surface based measures like these can be successful provided that the surfaces can be estimated accurately. However, this is not a trivial task in PET data because of the noise typically present. The fact that curvature relies on high order partial derivatives of the parameterized surface makes ....

A A Amini and J S Duncan. "Bending and stretching models for lv wall motion analysis from curves and surfaces." Image and Vision Computing, 10(6):418--430, 1992.

....and space. Many techniques have been proposed to track the LV motion. All of them attempt to nd the correspondence between pairs of successive images. Most of the proposed methods in 3D dene a model of the shape of LV surfaces (endocardium and or epicardium) using classical snake like models [1, 23], spring mass meshes [17] or more constrained generic surfaces such as free deformed superquadrics [3, 4] or volumetric superquadrics [19, 18] The tracking is processed using conservation constraints based on proximity constraints [3, 4] dioeerential properties of the surface [1, 7, 11, 23] or ....

.... models [1, 23] spring mass meshes [17] or more constrained generic surfaces such as free deformed superquadrics [3, 4] or volumetric superquadrics [19, 18] The tracking is processed using conservation constraints based on proximity constraints [3, 4] dioeerential properties of the surface [1, 7, 11, 23] or is directly computed from displacement or velocity information obtained in some specic MR imaging techniques: tags [9, 13, 19, 21, 27] or phase contrast [15, 24] In other work, no shape model is computed: the tracking is processed directly from the volumetric image using conservation of ....

[Article contains additional citation context not shown here]

A. Amini and J. Duncan. Bending and Stretching Models for LV wall Motion Analysis from Curves and Surfaces. In Image and Vision Computing, volume 10, pages 418430, August 1992.

....studied by medical image processing groups. Since its creation in 1989, our group has pioneered work in the use of deformable models to extract the left ventricle [5, 17, 6, 8, 19, 16, 7, 13] Other groups have also contributed to the understanding of the complex deformation of the ventricle [4, 31, 3, 30, 36, 29]. Over the last decade, many surface reconstruction problems have been formulated as the minimization of an energy functional corresponding to a model of the surface. Using deformable models and templates, the extraction of a shape is obtained through minimization of an energy composed of an ....

A. Amini and J. Duncan. Bending and stretching models for LV wall motion analysis from curves and surfaces. Image and vision computing, 10:418430, August 1992.

....groups as well as hospitals. Since its creation in 1989, our group has pioneered work in the use of deformable models to extract the left ventricle [4, 21, 5, 20, 23, 6, 3, 44, 13] Other groups as well have also made various contributions to understanding the complex deformation of the ventricle [2, 43, 1, 42, 18, 51]. Over the last ten years, many tting problems have been formulated as the minimization of an energy functional corresponding to a model of the surface [32, 14, 38, 57, 23, 40, 27] Although previous approaches based on general deformable surfaces give satisfactory results, they involve large ....

A. Amini and J. Duncan. Bending and stretching models for lv wall motion analysis from curves and surfaces. In Proceedings Image and Vision Computing, volume 10, pages 418430, August 1992.

....instant, we want to triangulate the contour stack to infer a 3D representation of the LV which will allow the analysis of the geometrical parameters of the surface, as well as permit us to analyze the motion of these anatomical meaningful 3D structures. While our previous minimum span tessellation[1] is adequate under certain conditions, it may produce some odd shaped triangles, and is not appropriate when there are major differences in shape or position between successive contours. Meanwhile, for a set V of N points in 3D, Delaunay triangulation[5, 29] is a 3 connected graph on V embedded ....

....process is embedded in the irregular triangular grid space generated from Delaunay tessellation, instead of the Euclidean space. It is invariant with respect to rotation and translation, and it does not require construction of local Cartesian coordinates, as proposed in our earlier approach[1]. The function for smooth motion estimation is given by the following expression, which is similar to the curvature smoothing function: D 3 (u) arg min D Z S C D (u) D(u) 0 D 0 (u) 2 ( D(u) u ) 2 du (7) In this equation, S is the surface space and u is a vector representing a ....

A. A. Amini and J. S. Duncan. Bending and stretching models for LV wall motion analysis from curves and surfaces. Image and Vision Computing, 418--430, 1992.

....of both solids and fluids: motion of trees, muscular motion of faces, and non rigid movement and pumping motion of the left ventricle (LV) of the heart, as well as blood motion are all non rigid. To date, however, most of the work in non rigid motion has dealt with motion analysis of solid objects [10, 7, 3, 4, 12, 15, 14]. In this paper, we discuss a new framework for optical flow, and apply it to non rigid motion analysis of blood from a sequence of X ray projection images. 1 In case of fluids, such as the blood, the clear direction to take is to develop methods capable of estimating the velocity field at all ....

A. A. Amini and J. S. Duncan. Bending and stretching models for lv wall motion analysis from curves and surfaces. Image and Vision Computing, 10(6):418--430, July/August 1992.

....first class is comprised of methods that exploit the correspondence between distinct features over time. Each of these methods is based on three stages. Usually the first stage requires the extraction of material landmarks or point features. These features can be points of highest curvature [2] [3], 4] in the case of certain types of nonrigid motion. A more accurate approach to finding landmarks might be by using implanted beads in the myocardium, which has provided clinical information about regional myocardial strain [5] However the use of these invasive markers is limited. ....

A.A. Amini and J.S. Duncan. Bending and stretching models for LV wall motion analysis from curves and surfaces. Image and Vision Computing, 10 No 6:418--430, July/August 1992.

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A. Amini and J. Duncan. Bending and Stretching Models for LV wall Motion Analysis from Curves and Surfaces. In Image and Vision Computing, volume 10, pages 418430, August 1992.

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A.A. Amini and J.S. Duncan. Bending and stretching models for lv wall motion analysis from curves and surfaces. IVC, 10(6):418--430, 1992.

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A.A. Amini and J.S. Duncan. Bending and stretching models for lv wall motion analysis from curves and surfaces. IVC, 10(6):418--430, 1992.

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A. A. Amini and J. S. Duncan. Bending and stretching models for LV wall motion analysis from curves and surfaces. Image and Vision Computing, 10(6):418--430, 1992.

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Amir A. Amini and James S. Duncan. Bending and stretching models for LV wall motion analysis from curves and surfaces. Image and Vision Computing, 10(6):418--430, 1992.

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Amir A. Amini and James S. Duncan. Bending and stretching models for LV wall motion analysis from curves and surfaces. Image and Vision Computing, 10(6):418--430, 1992.

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A. Amini and J. Duncan. Bending and Stretching Models for LV wall Motion Analysis from Curves and Surfaces. In Image and Vision Computing,volume 10, pages 418#430, August 1992.

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