Name
Title | ||
|---|---|---|
A Phase Field Method for Joint Denoising, Edge Detection, and Motion Estimation in Image Sequence Processing |
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. eld 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. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1137/060677409 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
image processing,phase field method,Mumford-Shah,optical flow,denoising,edge detection,segmentation,finite element method | Mathematical optimization,Motion field,Feature detection (computer vision),Edge detection,Image processing,Robustness (computer science),Motion estimation,Optical flow,Piecewise,Mathematics | Journal |
Volume | Issue | ISSN |
68 | 3 | 0036-1399 |
Citations | PageRank | References |
5 | 0.53 | 19 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| T. Preußer | 1 | 65 | 7.76 |
| Marc Droske | 2 | 194 | 12.12 |
| Christoph S. Garbe | 3 | 80 | 12.11 |
| Alexandru Telea | 4 | 1520 | 107.14 |
| Martin Rumpf | 5 | 5 | 0.53 |