TY - GEN
T1 - A self-referencing level-set method for image reconstruction from sparse Fourier samples
AU - Ye, Jong Chul
AU - Bresler, Y.
AU - Moulin, P.
N1 - Funding Information:
This work was supported in part by a grant from DARPA under Contract F49620-98-1-0498, administered by AFOSR, and by a NSF Research Infrastructure Grant No. CDA 96-24396.
Publisher Copyright:
© 2001 IEEE.
PY - 2001
Y1 - 2001
N2 - We address image estimation from sparse Fourier samples. The problem is formulated as joint estimation of the supports of unknown sparse objects in the image, and pixel values on these supports. The domain and the pixel values are alternately estimated using the level-set method and the conjugate gradient method, respectively. Our level-set evolution shows a unique switching behavior, which stabilizes the level-set evolution. Furthermore, the trade-off between the stability and the speed of evolution can be easily controlled by the number of the conjugate gradient steps, hence removing the re-initialization steps in conventional level set approaches.
AB - We address image estimation from sparse Fourier samples. The problem is formulated as joint estimation of the supports of unknown sparse objects in the image, and pixel values on these supports. The domain and the pixel values are alternately estimated using the level-set method and the conjugate gradient method, respectively. Our level-set evolution shows a unique switching behavior, which stabilizes the level-set evolution. Furthermore, the trade-off between the stability and the speed of evolution can be easily controlled by the number of the conjugate gradient steps, hence removing the re-initialization steps in conventional level set approaches.
UR - http://www.scopus.com/inward/record.url?scp=84967153296&partnerID=8YFLogxK
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U2 - 10.1109/VLSM.2001.938896
DO - 10.1109/VLSM.2001.938896
M3 - Conference contribution
AN - SCOPUS:84967153296
T3 - Proceedings - IEEE Workshop on Variational and Level Set Methods in Computer Vision, VLSM 2001
SP - 171
EP - 178
BT - Proceedings - IEEE Workshop on Variational and Level Set Methods in Computer Vision, VLSM 2001
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - IEEE Workshop on Variational and Level Set Methods in Computer Vision, VLSM 2001
Y2 - 13 July 2001
ER -