Tag: image compression
Error-Free Computation of Daubechies Wavelets for Image Compression Applications
A novel encoding scheme for Daubechies wavelets is proposed. The technique eliminates the requirements to approximate the transformation matrix elements; rather, by using algebraic integers, it is possible to obtain exact representations for them. As a result, error-free calculations up to the final reconstruction step can be achieved, which provides considerable improvement in image reconstruction accuracy.
K. A. Wahid, V. S. Dimitrov, G. A. Jullien and W. Badawy, “Error-Free Computation of Daubechies Wavelets for Image Compression Applications,” IEE Electronics Letters, Vol. 39, Issue 5 , 6 March 2003, pp. 428 -429
An Efficient Architecture for a Lifted 2D Biorthogonal DWT
This paper presents a new algorithm for a 2D non-separable lifted bi-orthogonal wavelet transform. The algorithm is derived by factoring complementary pairs of wavelet transform 2D filters. The results are efficient architectures for real time signal processing, which do not require transpose memory for the 2D processing of data. The proposed architecture exploits in place implementation, inherit from the algorithm, and can take advantage of both vertical and horizontal parallelism in the direct implementation. The processing in our architecture is scheduled by carefully pipelining the lifted steps, which allows for up to four times faster processing than the direct implementation. The proposed architecture operates at high speed, consumes low power and has reduced computational complexity as compared to previously published filter and lifted based bi-orthogonal wavelet architectures.
Mehboob Alam , Wael Badawy, Vassil Dimitrov and Graham Jullien, “An Efficient Architecture for a Lifted 2D Biorthogonal DWT,” The Journal of VLSI Signal Processing , Volume 40, Issue 3, July 2005, pp. 335 – 342