TY - GEN
T1 - Morphological wavelet transform with adaptive dyadic structures
AU - Xiang, Zhen James
AU - Ramadge, Peter Jeffrey
PY - 2010/12/1
Y1 - 2010/12/1
N2 - We propose a two component method for denoising multidimensional signals, e.g. images. The first component uses a dynamic programing algorithm of complexity O(N logN) to find an optimal dyadic tree representation of a given multidimensional signal of N samples. The second component takes a signal with given dyadic tree representation and formulates the denoising problem for this signal as a Second Order Cone Program of size O(N). To solve the overall denoising problem, we apply these two algorithms iteratively to search for a jointly optimal denoised signal and dyadic tree representation. Experiments on images confirm that the approach yields denoised signals with improved PSNR and edge preservation.
AB - We propose a two component method for denoising multidimensional signals, e.g. images. The first component uses a dynamic programing algorithm of complexity O(N logN) to find an optimal dyadic tree representation of a given multidimensional signal of N samples. The second component takes a signal with given dyadic tree representation and formulates the denoising problem for this signal as a Second Order Cone Program of size O(N). To solve the overall denoising problem, we apply these two algorithms iteratively to search for a jointly optimal denoised signal and dyadic tree representation. Experiments on images confirm that the approach yields denoised signals with improved PSNR and edge preservation.
UR - http://www.scopus.com/inward/record.url?scp=78651106545&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78651106545&partnerID=8YFLogxK
U2 - 10.1109/ICIP.2010.5654033
DO - 10.1109/ICIP.2010.5654033
M3 - Conference contribution
AN - SCOPUS:78651106545
SN - 9781424479948
T3 - Proceedings - International Conference on Image Processing, ICIP
SP - 1677
EP - 1680
BT - 2010 IEEE International Conference on Image Processing, ICIP 2010 - Proceedings
T2 - 2010 17th IEEE International Conference on Image Processing, ICIP 2010
Y2 - 26 September 2010 through 29 September 2010
ER -