1995
DOI: 10.1007/978-3-540-49197-2_40
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Dense Non-Rigid Motion Estimation in Sequences of 3D Images Using Differential Constraints

Abstract: Abstract. We describe a new method for computing the displacement vector field in time sequences of 2D or 3D images (4D data). The method is energy-minimizing on the space of correspondence functions; the energy is split into two terms, with one term matching differential singularities in the images, and the other constraining the regularity of the field. In order to reduce the computational time of the motion estimation, we use an adaptive image mesh, the resolution of which depends on the value of the gradie… Show more

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Cited by 22 publications
(8 citation statements)
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“…Historically, cardiac motion analysis, especially of the LV, has been the main focus of such approaches. Generic deformable surface models [117]- [119], models exploiting curvature information [120]- [123], 4-D models [124], or models with temporal constraints [125], [126] have been previously described for cardiac motion analysis, and they are all based on surface tracking.…”
Section: Discussionmentioning
confidence: 99%
“…Historically, cardiac motion analysis, especially of the LV, has been the main focus of such approaches. Generic deformable surface models [117]- [119], models exploiting curvature information [120]- [123], 4-D models [124], or models with temporal constraints [125], [126] have been previously described for cardiac motion analysis, and they are all based on surface tracking.…”
Section: Discussionmentioning
confidence: 99%
“…In [1], we mention the particularity of the branching topology and explain why we don't use deformable models or reconstruction methods like [7,4]. Recently, in [5], a branching reconstruction was performed from two dimensional carotid CT images.…”
Section: An Active Branching Modelmentioning
confidence: 99%
“…20 gray level profiles along − → n i are then extracted. For each profile, its Mahalanobis distance ( [7]) from the mean m θ , which is a measure of how well it fits the model, is computed. The point, for which this distance is minimum, is the new M i + dM i .…”
Section: Model Buildingmentioning
confidence: 99%
“…Duncan et al used contour shape descriptors in [1], Ayache; Cohen et al [2] have used superquadratics. The nature of the constraints varies between models and can take a wide range of properties, including differential constraints [3], displacement and velocity constraints [4] as well as other constraints allowing for non-rigid movements.…”
Section: Motivationmentioning
confidence: 99%