On PDE based and Statistical Approaches for Image Restoration
- On PDE based and Statistical Approaches for Image Restoration
- Dai-Gyoung Kim
- Issue Date
- This thesis describes and focuses on an ill-posed inverse problem of
image restoration which is a fundamental requirement for various high level
computer vision applications. Various image denoising approaches based on deterministic
and statistical arguments are investigated and new modifications are
proposed to further enhance the performance of these approaches significantly.
First section of the thesis provides the preliminaries of the basic
mathematical concepts used in image restoration problem.
Middle section of the thesis presents multiscale implementation of deterministic and statistical approaches using wavelet transform.
The last section is related to a Low rank approximations for image denoising problem where we investigate residual noise estimation strategy used in WNNM algorithm. We propose non-trivial improvements to residual noise
estimation by exploiting various geometrical and statistical properties of a given noisy image. By considering these modifications, we succeeded to improve the denoising results beyond WNNM.
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- GRADUATE SCHOOL[S](대학원) > APPLIED MATHEMATICS(응용수학과) > Theses (Ph.D.)
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