Title :
Statistics and dependency analysis of the uniform discrete curvelet coefficients and hidden Markov tree modeling
Author :
Rakvongthai, Yothin ; Oraintara, Soontorn
Author_Institution :
Dept. of Electr. Eng., Univ. of Texas, Arlington, TX, USA
Abstract :
The uniform discrete curvelet transform (UDCT) is a variant of the discrete curvelet transform with basis function located on a uniform grid. The transform is implemented based on a filter bank structure in the frequency domain. In this paper, we study statistics and dependency analysis of the UDCT coefficients and impose the hidden Markov tree (HMT) model for the UDCT. Finally, the experiment in image denoising is shown as an application of the modeling.
Keywords :
curvelet transforms; discrete transforms; filtering theory; hidden Markov models; image denoising; statistical analysis; trees (mathematics); HMT; UDCT; filter bank structure; frequency domain; hidden Markov tree modeling; image denoising; statistical analysis; uniform discrete curvelet transform; Discrete transforms; Filter bank; Frequency domain analysis; Hidden Markov models; Image processing; Statistical analysis; Statistical distributions; Tree data structures; Wavelet transforms; Wrapping;
Conference_Titel :
Circuits and Systems, 2009. ISCAS 2009. IEEE International Symposium on
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-3827-3
Electronic_ISBN :
978-1-4244-3828-0
DOI :
10.1109/ISCAS.2009.5117801