Motion estimation by hybrid diffusion: theory and implementation
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L. X. Yang
2D motion field is the velocity field which presents the apparent motion from one image to another one in an image sequence. It provides important motion information and is widely used in image processing and computer vision. In this paper, with the objective of accurate estimation of a 2D dense motion field, a hybrid diffusion model is proposed. The present approach differs from those in the literature in the sense that the diffusion model and its associated objective functional are driven by both the flow field and image, through a nonlinear isotropic diffusion term and a linear anisotropic diffusion term, respectively. The diffusion function in the model is required to be non increasing, non negative, differentiable and bounded. Using Schauder's fixed point theorem, we prove the existence, stability and uniqueness of the solution to the proposed hybrid diffusion model. A semi-implicit finite difference scheme is proposed to implement the hybrid diffusion model. We demonstrate its efficiency and accuracy by experiments on both synthetic and real image sequences.
Copyright 2006, Walter de Gruyter
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- Inversion of the Radon transform, based on the theory of A-analytic functions, with application to 3D inverse kinematic problem with local data
- An identification problem arising in the theory of heat conduction for materials with memory
- On the choice of the regularization parameter in ill-posed problems with approximately given noise level of data
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- Boundary data identification for a eddy-current problem on polyhedra: numerical approach
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- Motion estimation by hybrid diffusion: theory and implementation
Artikel in diesem Heft
- Inversion of the Radon transform, based on the theory of A-analytic functions, with application to 3D inverse kinematic problem with local data
- An identification problem arising in the theory of heat conduction for materials with memory
- On the choice of the regularization parameter in ill-posed problems with approximately given noise level of data
- An iterative method for reconstruction of temperature
- Boundary data identification for a eddy-current problem on polyhedra: numerical approach
- Inverse scattering problem for two-dimensional Schrödinger operator
- Motion estimation by hybrid diffusion: theory and implementation
