컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0634 |
|---|---|
| 분류(Section) | Plenary Lecture |
| 분과(Session) | |
| 영문제목 (Title(Eng.)) |
Image Restoration: Wavelet Frame Approach, Total Variation and Beyond |
| 저자(Author(s)) |
Zuowei Shen1 National University of Singapore1 |
| 초록본문(Abstract) | This talk is about the wavelet frame-based image and video restorations. We start with some of main ideas of wavelet frame based image restorations. Some of applications of wavelet frame based models image analysis and restorations will be shown. Examples of such applications include image and video inpainting, denoising, decomposition, image deblurring and blind deblurring, segmentation, CT image reconstruction and etc. In all of these applications, spline wavelet frames derived from the unitary extension principle are used. This allows us to establish a connection between wavelet frame base method and the total variation based method. In fact, we will show that when spline wavelet frames are used, a special model of a wavelet frame method can be viewed as a discrete approximation at a given resolution to the total variation based method. A convergence analysis in terms of objective functionals and their approximate minimizers as image resolution increases will be discussed. |
| 분류기호 (MSC number(s)) |
35A15, 41A25, 42C40, 45Q05, 65K10, 68U10 |
| 키워드(Keyword(s)) | image restorations, wavelet frames, total variation, sparse approximation |
| 강연 형태 (Language of Session (Talk)) |
English |