1998
DOI: 10.1109/49.650922
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Three-dimensional motion estimation of objects for video coding

Abstract: Abstract-In this work, three-dimensional (3-D) motion estimation is applied to the problem of motion compensation for video coding. We suppose that the video sequence consists of the perspective projections of a collection of rigid bodies which undergo a rototranslational motion. Motion compensation can be performed on the sequence once the shape of the objects and the motion parameters are determined. We show that the motion equations of a rigid body can be formulated as a nonlinear dynamic system whose state… Show more

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Cited by 4 publications
(4 citation statements)
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“…For features, we can write the corresponding system of equations in compact form as (4) The dependence from the control point coordinates was not made explicit, since these must be determined only once, when the features are chosen in the first frame, and do not change over time. Remember that once the position of the CANDIDE model in 3-D space at a given time instant is known, the 3-D coordinates of a control point can be computed from the 2-D coordinates of the corresponding feature by inverting the projection equations (3). Anyway, in the following section we will see that new features are added from time to time to replace lost ones.…”
Section: Global Motion Estimation: the Kalman Filtermentioning
confidence: 99%
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“…For features, we can write the corresponding system of equations in compact form as (4) The dependence from the control point coordinates was not made explicit, since these must be determined only once, when the features are chosen in the first frame, and do not change over time. Remember that once the position of the CANDIDE model in 3-D space at a given time instant is known, the 3-D coordinates of a control point can be computed from the 2-D coordinates of the corresponding feature by inverting the projection equations (3). Anyway, in the following section we will see that new features are added from time to time to replace lost ones.…”
Section: Global Motion Estimation: the Kalman Filtermentioning
confidence: 99%
“…With this assumption, the face has six degrees of freedom, so its position in 3-D space can be defined with six parameters, e.g., the components of the translation vector and of the rotation vector . In this case, the equations relating the 3-D coordinates of a control point to the 2-D coordinates of the corresponding feature on the image plane are given by (3) where is the projection operator defined in (2) and is a 3 3 matrix whose elements are the sines and cosines of the rotation angles, as in [2]. With this choice of the matrix, rotation around the axis is applied first, then rotation around the axis, and finally rotation around the axis.…”
Section: Global Motion Estimation: the Kalman Filtermentioning
confidence: 99%
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“…Works [15,3,5, 161 addressing problems of "Shapefrom-Motion" and "Structure-from-Motion" in computer vision give an estimate of object pose in each of input images as a mid-way result. The main problem with this type of algorithms is that they rely on feature point correspondence which is prone to error in spite of large volumes of research [18].…”
Section: Related Researchmentioning
confidence: 99%