SFU Math Home > Past Events
| Friday December 7, 2007 | CSC Distinguished Speakers Series | 2:30 PM - 3:30 PM |
| Title: | Edges: Separation and decomposition of scales |
| Speaker: | Eitan Tadmor (University of Maryland) |
| Room: | ASB 10900 (IRMACS) |
| Abstract: | I will describe how edges can be treated through different scales. I will begin with detection of edges in piecewise smooth data. The data is given in terms of its spectral representation. The objective is to recover the location and amplitudes of jump discontinuities, from possibly incomplete and noisy spectral information. We utilize a general family of edge detectors based on concentration kernels. Each kernel forms an approximate derivative of the delta function. Edges are detected by separation of scales. Edges are also the noticeable feature in images. I will discuss a novel representation of general images which are decomposed into hierarchy of scales of edges. The resulting decomposition is essentially nonlinear. The questions of convergence, localization and adaptivity will be discussed and numerical results will illustrate applications to synthetic and real images. |