Abstract
Based on the interpretation of the restoration process as a backward diffusion process, an optimal filtering in terms of the spectral characteristics of an image is proposed. The restored image is given as the solution of the optimal backward diffusion equation (BDE). Several aspects of applying the backward diffusion on the blurred image are given. The ill-posedness of the backward diffusion is subdued by regularizing the speed at which the high-frequency components should be recovered by the use of a decreasing function. In manipulating the recovery speed, the spectral characteristics of an image are taken into account. The proposed scheme uses an exponentially decreasing speed function on the recovery of high-frequency components. The use of the decreasing function makes it possible to include more significant low-frequency components without failing the system, and thus yields results of better quality than the constant bounded scheme.
| Original language | English |
|---|---|
| Pages (from-to) | 51-62 |
| Number of pages | 12 |
| Journal | Optical Engineering |
| Volume | 43 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2004 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
- Engineering(all)
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Optimal regularized image restoration algorithm based on backward diffusion equation. / Lee, Suk Ho; Kang, Moon Gi.
In: Optical Engineering, Vol. 43, No. 1, 01.01.2004, p. 51-62.Research output: Contribution to journal › Article
TY - JOUR
T1 - Optimal regularized image restoration algorithm based on backward diffusion equation
AU - Lee, Suk Ho
AU - Kang, Moon Gi
PY - 2004/1/1
Y1 - 2004/1/1
N2 - Based on the interpretation of the restoration process as a backward diffusion process, an optimal filtering in terms of the spectral characteristics of an image is proposed. The restored image is given as the solution of the optimal backward diffusion equation (BDE). Several aspects of applying the backward diffusion on the blurred image are given. The ill-posedness of the backward diffusion is subdued by regularizing the speed at which the high-frequency components should be recovered by the use of a decreasing function. In manipulating the recovery speed, the spectral characteristics of an image are taken into account. The proposed scheme uses an exponentially decreasing speed function on the recovery of high-frequency components. The use of the decreasing function makes it possible to include more significant low-frequency components without failing the system, and thus yields results of better quality than the constant bounded scheme.
AB - Based on the interpretation of the restoration process as a backward diffusion process, an optimal filtering in terms of the spectral characteristics of an image is proposed. The restored image is given as the solution of the optimal backward diffusion equation (BDE). Several aspects of applying the backward diffusion on the blurred image are given. The ill-posedness of the backward diffusion is subdued by regularizing the speed at which the high-frequency components should be recovered by the use of a decreasing function. In manipulating the recovery speed, the spectral characteristics of an image are taken into account. The proposed scheme uses an exponentially decreasing speed function on the recovery of high-frequency components. The use of the decreasing function makes it possible to include more significant low-frequency components without failing the system, and thus yields results of better quality than the constant bounded scheme.
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UR - http://www.scopus.com/inward/citedby.url?scp=1642634554&partnerID=8YFLogxK
U2 - 10.1117/1.1630601
DO - 10.1117/1.1630601
M3 - Article
VL - 43
SP - 51
EP - 62
JO - Optical Engineering
JF - Optical Engineering
SN - 0091-3286
IS - 1
ER -