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Journal ArticleDOI

Discrete Cosine Transform

N. U. Ahmed, +2 more
- 01 Jan 1974 - 
- Vol. 23, Iss: 1, pp 90-93
TLDR
In this article, a discrete cosine transform (DCT) is defined and an algorithm to compute it using the fast Fourier transform is developed, which can be used in the area of digital processing for the purposes of pattern recognition and Wiener filtering.
Abstract
A discrete cosine transform (DCT) is defined and an algorithm to compute it using the fast Fourier transform is developed. It is shown that the discrete cosine transform can be used in the area of digital processing for the purposes of pattern recognition and Wiener filtering. Its performance is compared with that of a class of orthogonal transforms and is found to compare closely to that of the Karhunen-Loeve transform, which is known to be optimal. The performances of the Karhunen-Loeve and discrete cosine transforms are also found to compare closely with respect to the rate-distortion criterion.

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Citations
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Texture analysis and classification with tree-structured wavelet transform

TL;DR: A progressive texture classification algorithm which is not only computationally attractive but also has excellent performance is developed and is compared with that of several other methods.
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A Fast Computational Algorithm for the Discrete Cosine Transform

TL;DR: A Fast Discrete Cosine Transform algorithm has been developed which provides a factor of six improvement in computational complexity when compared to conventional DiscreteCosine Transform algorithms using the Fast Fourier Transform.
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Active noise control: a tutorial review

TL;DR: The basic adaptive algorithm for ANC is developed and analyzed based on single-channel broad-band feedforward control, then modified for narrow-bandFeedforward and adaptive feedback control, which are expanded to multiple-channel cases.
Book

Learning OpenCV 3: Computer Vision in C++ with the OpenCV Library

TL;DR: Whether you want to build simple or sophisticated vision applications, Learning OpenCV is the book any developer or hobbyist needs to get started, with the help of hands-on exercises in each chapter.
Posted Content

On discrete cosine transform

TL;DR: In this paper, a generalized discrete cosine transform with three parameters was proposed and its orthogonality was proved for some new cases, and a new type of DCT was also proposed.
References
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Journal ArticleDOI

Slant Transform Image Coding

TL;DR: A new unitary transform called the slant transform, specifically designed for image coding, has been developed, which possesses a discrete sawtoothlike basis vector which efficiently represents linear brightness variations along an image line.
Journal ArticleDOI

Generalized Wiener Filtering Computation Techniques

TL;DR: The classical signal processing technique known as Wiener filtering has been extended to the processing of one-and two-dimensional discrete data by digital operations with emphasis on reduction of the computational requirements.
Journal ArticleDOI

Spatial Transform Coding of Color Images

TL;DR: The transform-coding concept has been applied to the coding of color images represented by three primary color planes of data and it is shown that, by transform coding, the chrominance content of a color image can be coded with an average of 1.0 bits per element or less without serious degradation.
Journal ArticleDOI

Multidimensional Rotations in Feature Selection

TL;DR: A character recognition experiment is selected for exemplary purposes and the use of features in the rotated spaces results in effective minimum distance classification.
Journal ArticleDOI

Performance Measures for Transform Data Coding

TL;DR: This paper develops performance criteria for evaluating transform data coding schemes under computational constraints characterized by a rate-distortion relation R(D) similar in form to the theoretical rate- Distortion function.