@article {preusser2007,
	title = {A phase field method for joint denoising, edge detection, and motion estimation in image sequence processing.},
	journal = {SIAM Journal of Applied Mathematics},
	volume = {68},
	year = {2007},
	pages = {599-618},
	abstract = {The estimation of optical flow fields from image sequences is incorporated in a Mumford/Shah approach for image denoising and edge detection. Possibly noisy image sequences are considered as input and a piecewise smooth image intensity, a piecewise smooth motion field, and a joint discontinuity set are obtained as minimizers of the functional. The method simultaneously detects image edges and motion field discontinuities in a rigorous and robust way. It is able to handle information on motion that is concentrated on edges. Inherent to it is a natural multiscale approximation that is closely related to the phase field approximation for edge detection by Ambrosio and Tortorelli. We present an implementation for two-dimensional image sequences with finite elements in space and time. This leads to three linear systems of equations, which have to be solved in a suitable iterative minimization procedure. Numerical results and different applications underline the robustness of the approach presented.},
	doi = {10.1137/060677409},
	author = {Preusser, T. and Marc Droske and Christoph S. Garbe and Martin Rumpf and Alexandru Telea}
}
