We present a preliminary investigation of compression of segmented 3D seismic volumes for the rendering purposes. Promising results are obtained on the base of 3D discrete cosine transforms followed by the SPIHT coding scheme. An accelerated version of the algorithm combines 1D discrete cosine transform in vertical direction with the 2D wavelet transform of horizontal slices. In this case the S...

We show that many well-known signal transforms allow highly efficient realizations on a quantum computer. We explain some elementary quantum circuits and review the construction of the Quantum Fourier Transform. We derive quantum circuits for the Discrete Cosine and Sine Transforms, and for the Discrete Hartley transform. We show that at most O(log N) elementary quantum gates are necessary to i...

Abstract DCT (Discrete Cosine Transforms) and IDCT (Inverse Discrete Cosine Transforms) are widely used for digital signal and image processing. Computational efficiency of DCT and IDCT dominate the performance of processing. How to improve computational efficiency is still an interesting topic for many researchers. In this study, the multiple-level resolution DCT in which the subband decomposi...

Discrete frequency transforms provide a method to obtain a global view of data within a window. Discrete cosine transform is the frequency transform for practical image processing because of its excellent energy compaction property. Another reason for its popularity is the existence of a fast implementation for the algorithm. In this article, the basics of the discrete cosine transform, its use...

Image Compression is a method, which reduces the size of the data to reduce the amount of space required to store the data. The Discrete cosine transform (DCT) is a method for transforms a signal or image from spatial domain to frequency component. It is a widely used technique in image compression. In this paper, we present a lossless discrete cosine transform (DCT) compression technique for t...

Fractional transforms are useful tools for processing of non-stationary signals. The methods of implementing sliding discrete fractional Fourier transform (SDFRFT), sliding discrete fractional cosine transform (SDFRCT) and sliding discrete fractional sine transform (SDFRST) for real time processing of signals are presented. The performances of these sliding transforms, with regard to computatio...

This paper addresses the most relevant aspects of lossy image coding techniques, and presents an evaluation study on this subject, using several transforms and different methods in the transform domain. We developed different transform based image coders/decoders (codecs) using different transforms, such as the discrete cosine transform, the discrete wavelet transform and the S transform. Besid...