In this paper, a novel method is proposed for designing two-channel biorthogonal perfect reconstruction filter banks with exact linear phase using noncausal IIR filters. Since the structurally perfect reconstruction implementation is adopted, the proposed filter banks are guaranteed to be a perfect reconstruction even when all filter coefficients are quantized. From the view point of wavelets, ...

The present paper proposes a new regularised Trefftz method to recover the boundary value on non-accessible of an annulus from overdetermined data accessible that annulus. Considering available have Fourier expansion, we consider Tikhonov damping factor in constructing our regularized scheme, which satisfies problem. At same time, convergence estimates for solution will be established under ass...

In this paper a new approach for the design of linear phase FIR filters with discrete coefficients is proposed. A mixed integer linear programming (MILP) problem is formulated that minimizes the total Hamming distance between the adjacent coefficients, i.e., the number of bit switches of the coefficients. The Hamming distance between the coefficients is a good measure of the power consumption, ...

The biorthogonal 9/7 wavelet is used for lossy compression in the JPEG2000 image coding standard. A hardware implementation of the standard must consider the accuracy and the efficiency with which the quantized filter coefficients are represented; filter structure is also an important design consideration. A high precision representation ensures compression performance close to the unquantized,...

Image restoration is one of the classical inverse problems in image processing and computer vision, which consists in recovering information about the original image from incomplete or degraded data. This paper presents analytical solution for onedimensional case of the Tikhonov regularization method and algorithm of parameter α selection by discrepancy, which finds the mostly smoothed function...

Modern imaging technologies have been at the forefront of scientific research and medical diagnosis. Typically, the cost of producing these images is quite high, while device defects, environmental variations, as well as movements generated by the objects being imaged, may result in noisy, poor-quality images. As a method to improve the cost-benefit of imaging technologies, image deblurring has...