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Direct reconstruction method for wavelet transform extrema representation


Liew, AWE and Law, NF and Nguyen, DT, Direct reconstruction method for wavelet transform extrema representation, IEE Proceedings-Vision, Image and Signal Processing, 144, (4) pp. 193-198. ISSN 1350-245X (1997) [Refereed Article]

DOI: doi:10.1049/ip-vis:19971044


In contrast to the iterative reconstruction algorithm of projections onto convex sets (Mallat and coworkers, 1992; Liew and Nguyen, 1995; Cvetkovic and Vetterli, 1995) a noniterative method that completely solves the problem of reconstructing from the wavelet transform extrema representation is presented for the first time. The solution obtained by the proposed method is mathematically consistent and is indistinguishable from the true solution, i. e. both give the same representation. The proposed method consists of first finding a leastsquares solution in the space spanned by the wavelet sampling bases. An orthogonal component that is to be added to the leastsquares solution to form a consistent solution is then found by solving a set of linear inequalities specified by the a priori information in the representation using the linear programming technique. Numerical results presented show that the reconstructions are of good quality. © lEE, 1997.

Item Details

Item Type:Refereed Article
Research Division:Engineering
Research Group:Control engineering, mechatronics and robotics
Research Field:Field robotics
Objective Division:Information and Communication Services
Objective Group:Other information and communication services
Objective Field:Other information and communication services not elsewhere classified
UTAS Author:Liew, AWE (Mr Alan Wee Chung Liew)
UTAS Author:Law, NF (Miss Ngai Fong Law)
UTAS Author:Nguyen, DT (Professor Thong Nguyen)
ID Code:11293
Year Published:1997
Web of Science® Times Cited:8
Deposited By:Electrical Engineering and Computer Science
Deposited On:1997-08-01
Last Modified:2011-08-12

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