On the estimation of optical flow: relations between different approaches and some new results
Artificial Intelligence
Journal of Approximation Theory
Performance of optical flow techniques
International Journal of Computer Vision
Computational anatomy: an emerging discipline
Quarterly of Applied Mathematics - Special issue on current and future challenges in the applications of mathematics
Variational Optic Flow Computation with a Spatio-Temporal Smoothness Constraint
Journal of Mathematical Imaging and Vision
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Approximation of vectors fields by thin plate splines with tension
Journal of Approximation Theory
PSIVT'06 Proceedings of the First Pacific Rim conference on Advances in Image and Video Technology
Hierarchical properties of multi-resolution optical flow computation
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume 2
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In this paper, we analyse mathematical properties of spatial optical-flow computation algorithm. First by numerical analysis, we derive the convergence property on variational optical-flow computation method used for cardiac motion detection. From the convergence property of the algorithm, we clarify the condition for the scheduling of the regularisation parameters. This condition shows that for the accurate and stable computation with scheduling the regularisation coefficients, we are required to control the sampling interval for numerical computation.