Fast fourier transforms: a tutorial review and a state of the art
Signal Processing
The JPEG still picture compression standard
Communications of the ACM - Special issue on digital multimedia systems
A fast Fourier transform compiler
Proceedings of the ACM SIGPLAN 1999 conference on Programming language design and implementation
JPEG Still Image Data Compression Standard
JPEG Still Image Data Compression Standard
Exploiting Interframe Redundancies in the Lossless Compression of 3D Medical Images
DCC '00 Proceedings of the Conference on Data Compression
The Algebraic Approach to the Discrete Cosine and Sine Transforms and Their Fast Algorithms
SIAM Journal on Computing
Discrete Cosine Transform: Algorithms, Advantages, Applications
Discrete Cosine Transform: Algorithms, Advantages, Applications
Calculation scheme based on a weighted primitive: application to image processing transforms
EURASIP Journal on Applied Signal Processing
An economical method for calculating the discrete Fourier transform
AFIPS '68 (Fall, part I) Proceedings of the December 9-11, 1968, fall joint computer conference, part I
A Modified Split-Radix FFT With Fewer Arithmetic Operations
IEEE Transactions on Signal Processing
Architecture-oriented regular algorithms for discrete sine andcosine transforms
IEEE Transactions on Signal Processing
Constant geometry algorithm for discrete cosine transform
IEEE Transactions on Signal Processing
Fast algorithm for computing discrete cosine transform
IEEE Transactions on Signal Processing
On the multiplicative complexity of discrete cosine transforms
IEEE Transactions on Information Theory
| Hi-index | 0.98 |
This paper presents a recursive method for function evaluation. The proposal argues for the use of a more complete primitive, namely a weighted sum, which converts the calculation of the function values into a recursive operation defined by a two input table. The weighted sum can be tuned for different values of the weighting parameters that hold the features of the concrete evaluated function. The calculation of the Discrete Cosine Transform (DCT) is improved by this method which provides a decrease of the operation count as well as an acceptable error bound. These results have repercussions on the compression standard JPEG, for the purposes of storage and transmission in web-based applications