(A) numerical method in image processing영상처리에서의 수치적 방법

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This paper is concerned with a reconstruction of contaminated images with noise. Our approach is based on a damped Newton method. In this paper, we propose the model, Euler-Lagrange Equation, which includes the second order differential term to TV-norm that reduces the undesirable blocky (or staircase) effect([16]), while preserving sharp jump discontinuous edges. One of the difficulties in solving the Euler-Lagrange equation is the presence of a nonlinear and non-differentiability term, which causes convergence difficulties for Newton``s method even when combined with a globalization technique such as a line search. The idea of our new algorithm is to remove some of the singularity caused by the non-differentiability of the objective function, $\frac{▽_u}{│▽_u │}$, before we apply a linearization technique such as Damped Newton Method.
Advisors
Lee, Sung-Yeonresearcher이성연researcher
Description
한국과학기술원 : 수학전공,
Publisher
한국과학기술원
Issue Date
2006
Identifier
255251/325007  / 020043462
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수학전공, 2006.2, [ v, 25 p. ]

Keywords

Image Processing; 영상 처리

URI
http://hdl.handle.net/10203/42137
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=255251&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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