Magnetic resonance images are affected by motion artefacts due to breathing and cardiac beating that occur during the acquisition. Methods for joint reconstruction of image and motion have been proposed recently. Such optimization problems are ill-conditioned, therefore regularization methods are required such as motion smoothness constraints using the Tikhonov method. However with Tikhonov met...

We present an intuitive and interactive approach for motion editing through spacetime constraints on positions. Given an input motion of an elastic body, our approach enables the user to interactively edit node positions in order to alter and fine-tune the motion. We formulate our motion editing as an optimization problem with dynamics constraints to enforce a physically-plausible result. Throu...

This paper addresses the problem of human motion encoding for real-time animation in interactive environments. Classically, a motion is stored as a sequence of body postures encoded as a set of joint rotations (quaternions, Euler-like angles or rotation matrices). As a consequence, Cartesian constraints must be solved using inverse kinematics and/or optimization. Those processes involve computa...

Since motion estimation via block matching is an ill-posed problem, it requires the use of smoothness constraints to regularize the motion field. The block matching error and smoothness constraints together form an energy expression to be minimized. Motion vectors (MVs) from a candidate set are used to determine which MV minimizes the overall energy. These MVs, which may consist of spatial or t...