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Author Dobrosotskaya, J. A. ♦ Bertozzi, A. L.
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Weak Sense ♦ Wavelet Analogue ♦ Present Example ♦ Additional Edge ♦ Amazing Flexibility ♦ Forcing Term ♦ Edge-preserving Forcing Term ♦ Contour Detection ♦ Variational Method ♦ Gradient Descent Equation ♦ Ginzburg Landau Energy ♦ Image Processing ♦ Various Image Processing Task
Abstract Abstract. A wavelet analogue of the Ginzburg–Landau energy (WGL) was recently designed and integrated in variational methods for image processing. In this paper we prove global well– posedness of the gradient descent equation (in the weak sense) and convergence to an extremum. We also develop further uses for this energy completed with an additional edge preserving forcing term. We present examples including inpainting, superresolution, segmentation, denoising, and contour detection. Combining the spatial and the edge-preserving forcing terms gives an amazing flexibility of the model, that is not only applicable to various image processing tasks, but also highly tunable.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article