Two-dimensional signal and image processing
Two-dimensional signal and image processing
Wavelets and subband coding
Multidimensional Signal, Image, and Video Processing and Coding
Multidimensional Signal, Image, and Video Processing and Coding
Trigonometric Polynomials Positive on Frequency Domains and Applications to 2-D FIR Filter Design
IEEE Transactions on Signal Processing
Efficient Large-Scale Filter/Filterbank Design via LMI Characterization of Trigonometric Curves
IEEE Transactions on Signal Processing
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By using Semi-Definite Programming (SDP) as a tool, a new deign for Two-Dimensional (2-D) Diamond-Shaped (DS) filters is developed. Surprisingly, the diamond shape of the filter is exactly expressed by using simple 2-D trigonometric polynomial curves of second order. In contrast to the high-order polynomial transformation based methods, the order of the designed filters is kept moderate with no performance sacrifices. Unlike conventional non-separable 2-D filters, the designed filters allow fast digital implementation despite being nonseparable and hence they are of low complexity. Numerical Simulations with application to quincunx image sampling are also performed to illustrate the viability of our method.