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A Parametric Deformable Model to Fit Unstructured 3D Data”, Research Report 2617, INRIA, Sophia-Antipolis, (1995)

by E Bardinet, L D Cohen, N Ayache
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Deformable models in medical image analysis: A survey

by Tim Mcinerney, Demetri Terzopoulos - Medical Image Analysis , 1996
"... This article surveys deformable models, a promising and vigorously researched computer-assisted medical image analysis technique. Among model-based techniques, deformable models offer a unique and powerful approach to image analysis that combines geometry, physics, and approximation theory. They hav ..."
Abstract - Cited by 591 (7 self) - Add to MetaCart
This article surveys deformable models, a promising and vigorously researched computer-assisted medical image analysis technique. Among model-based techniques, deformable models offer a unique and powerful approach to image analysis that combines geometry, physics, and approximation theory. They have proven to be effective in segmenting, matching, and tracking anatomic structures by exploiting (bottom-up) constraints derived from the image data together with (top-down) a priori knowledge about the location, size, and shape of these structures. Deformable models are capable of accommodating the significant variability of biological structures over time and across different individuals. Furthermore, they support highly intuitive interaction mechanisms that, when necessary, allow medical scientists and practitioners to bring their expertise to bear on the model-based image interpretation task. This article reviews the rapidly expanding body of work on the development and application of deformable models to problems of fundamental importance in medical image analysis, includingsegmentation, shape representation, matching, and motion tracking.

Image segmentation using deformable models

by Chenyang Xu, Dzung L. Pham, Jerry L. Prince - Handbook of Medical Imaging. Vol.2 Medical Image Processing and Analysis
"... ..."
Abstract - Cited by 79 (1 self) - Add to MetaCart
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A review of geometric transformations for nonrigid body registration

by Mark Holden - IEEE TRANSACTIONS ON MEDICAL IMAGING , 2007
"... ..."
Abstract - Cited by 64 (0 self) - Add to MetaCart
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Tracking And Motion Analysis Of The Left Ventricle With Deformable Superquadrics

by Eric Bardinet, Laurent D. Cohen, Nicholas Ayache - Medical Image Analysis , 1996
"... We present a new approach to analyse the deformation of the left ventricle of the heart based on a parametric model that gives a compact representation of a set of points in a 3-D image. We present a strategy for tracking surfaces in a sequence of 3-D cardiac images. Following tracking, we then i ..."
Abstract - Cited by 53 (8 self) - Add to MetaCart
We present a new approach to analyse the deformation of the left ventricle of the heart based on a parametric model that gives a compact representation of a set of points in a 3-D image. We present a strategy for tracking surfaces in a sequence of 3-D cardiac images. Following tracking, we then infer quantitative parameters which characterize: left ventricle motion, volume of left ventricle, ejection fraction, amplitude and twist component of cardiac motion. We explain the computation of these parameters using our model. Experimental results are shown in time sequences of two modalities of medical images, nuclear medicine and X-ray computed tomography (CT). Video sequences presenting these results are on the CD-ROM.
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...MM images, and a number of studies take advantage of their properties (Amini et al., 1994; Guttman et al. 1994; Young et al., 1994; Kumar and Goldgof, 1994; Park et al., 1996). In a previous article (=-=Bardinet et al., 1996-=-a), we introduced a parametric deformable model based on a superquadric fit followed by a free form deformation (FFD). The advantage of parametric deformable models like superquadrics is the small num...

Metamorphs: Deformable shape and texture models

by Xiaolei Huang, Dimitris Metaxas, Ting Chen - in IEEE Conf. on Computer Vision and Pattern Recognition , 2004
"... We present a new class of deformable models, Meta-Morphs, whose formulation integrates both shape and interior texture. The model deformations are derived from both boundary and region information based on a variational framework. This framework represents a generalization of previous parametric and ..."
Abstract - Cited by 48 (21 self) - Add to MetaCart
We present a new class of deformable models, Meta-Morphs, whose formulation integrates both shape and interior texture. The model deformations are derived from both boundary and region information based on a variational framework. This framework represents a generalization of previous parametric and implicit geometric deformable models, by incorporating model interior texture information. The shape of the new model is represented implicitly as an “image ” in the higher dimensional space of distance transforms. The interior texture is captured using a nonparametric kernel-based approximation of the intensity probability density function (p.d.f.) inside the model. The deformations that the model can undergo are defined using a space warping technique- the cubic B-spline based Free Form Deformations (FFD). When using the models for boundary finding in images, we derive the model dynamics from an energy functional consisting of both edge energy terms and texture energy terms. This way, the models deform under the influence of forces derived from both boundary and region information. A MetaMorph model can be initialized far-away from the object boundary and efficiently converge to an optimal solution. The proposed energy functional enables the model to pass small spurious edges and prevents it from leaking through large boundary gaps, hence makes the boundary finding robust to image noise and inhomogeneity. We demonstrate the power of our new models to segmentation applications, and various examples on finding object boundaries in noisy images with complex textures demonstrate the potential of the proposed technique. 1.
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...r dimensional space of distance transforms, thus represented by distance map “images”. The model deformations are efficiently parameterized using the cubic B-spline based Free Form Deformations (FFD) =-=[1, 2, 6]-=-. The interior intensity statistics of the models are captured using nonparametric kernel-based approximations, which can represent complex multi-modal distributions. When finding object boundaries in...

Segmentation and superquadric modeling of 3D Objects

by Laurent Chevalier, Fabrice Jaillet, Atilla Baskurt, Université Lyon, Université Lyon, Université Lyon, Bat Nautibus, Bat Nautibus , 2003
"... A new model for representing an unorganised 3D data points set is proposed. Based on superquadrics, this model allows to describe the points set with a union of superellipsoids. Two different segmentation and modeling methods are developed in order to determine the whole model: a region growing appr ..."
Abstract - Cited by 18 (3 self) - Add to MetaCart
A new model for representing an unorganised 3D data points set is proposed. Based on superquadrics, this model allows to describe the points set with a union of superellipsoids. Two different segmentation and modeling methods are developed in order to determine the whole model: a region growing approach and a split and merge one. This second method leads to a low sensitive model compared to the one obtained by the region growing. The model is simple and compact: only 11 parameters are needed per superellipsoid. It seems promising for 3D object compression and 3D object indexing and retrieval. As the topological relations of the superellipsoids are known, the model can be associated to a graph. The graph theory can thus be used in order to compare and to measure the similarity between 3D objects.

Patch-based texture edges and segmentation

by Lior Wolf, Xiaolei Huang, Ian Martin, Dimitris Metaxas - In ECCV , 2006
"... Abstract. A novel technique for extracting texture edges is introduced. It is based on the combination of two ideas: the patch-based approach, and non-parametric tests of distributions. Our method can reliably detect texture edges using only local information. Therefore, it can be computed as a prep ..."
Abstract - Cited by 17 (4 self) - Add to MetaCart
Abstract. A novel technique for extracting texture edges is introduced. It is based on the combination of two ideas: the patch-based approach, and non-parametric tests of distributions. Our method can reliably detect texture edges using only local information. Therefore, it can be computed as a preprocessing step prior to segmentation, and can be very easily combined with parametric deformable models. These models furnish our system with smooth boundaries and globally salient structures. 1
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... in a higher dimensional space of distance transforms as a distance map “image”, and model deformations are efficiently parameterized using a space warping technique: the Free Form Deformations (FFD) =-=[1, 3]-=- based on cubic B-splines. 2 Previous Work Below we discuss traditional texture segmentation approaches, the emerging patch-based techniques, and explain the background for our statistical test. Featu...

Implicit Meshes for Surface Reconstruction

by Slobodan Ilic, Pascal Fua - IEEE Trans. on Pattern Analysis and Machine Intelligence , 2004
"... Deformable 3--D models are used extensively in Computer Graphics and Computer Vision for Visualization, Animation and Modeling. They can be represented either as traditional explicit surfaces, such as triangulated meshes, or as implicit surfaces. Explicit surface representations are widely accept ..."
Abstract - Cited by 13 (0 self) - Add to MetaCart
Deformable 3--D models are used extensively in Computer Graphics and Computer Vision for Visualization, Animation and Modeling. They can be represented either as traditional explicit surfaces, such as triangulated meshes, or as implicit surfaces. Explicit surface representations are widely accepted because they are simple to deform and render. However, for fitting purposes, they suffer from the fact that using them typically involves minimizing a non-differentiable distance function. By contrast, implicit surface representations allow fitting by minimizing a differentiable algebraic distance. However, they have not gained wide acceptance because they are harder to meaningfully deform and render.
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... choosing a suitable warping function [42, 7, 5, 51]. However, these deformations are limited to the surfaces which have both parametric and implicit representations, such as spheres or cylinders. In =-=[4]-=-, simple superquadrics are parametrized using conventional FFDs for automatic heart reconstruction and deformation from medical images. Here the FFDs ability to deform parametric surfaces has been exp...

Segmentation of Medical Images under Topological Constraints

by Florent Ségonne , 2005
"... ..."
Abstract - Cited by 11 (2 self) - Add to MetaCart
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Using Dirichlet Free Form Deformation to Fit Deformable Models to Noisy 3-D Data

by Slobodan Ilic, Pascal Fua - In European Conference on Computer Vision , 2002
"... Free-form deformations (FFD) constitute an important geometric shape modification method that has been extensively investigated for computer animation and geometric modelling. In this work, we show that FFDs are also very effective to fit deformable models to the kind of noisy 3--D data that visi ..."
Abstract - Cited by 10 (5 self) - Add to MetaCart
Free-form deformations (FFD) constitute an important geometric shape modification method that has been extensively investigated for computer animation and geometric modelling. In this work, we show that FFDs are also very effective to fit deformable models to the kind of noisy 3--D data that vision algorithms such as stereo tend to produce.
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...ion that has been extensively investigated for computer animation and geometric modelling [15, 3, 9, 2, 13]. In the vision community, they have also been used to fit parametric models to medical data =-=[17, 1] o-=-r animation masks to semi-automatically extracted silhouette data [12]. In this work, we show that FFDs also are also very effective to fit deformable surface models to the kind of noisy 3–D data th...

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