DCT Forumla



This photo was viewed 0 times and was downloaded in full size 0 times.

This photo was liked 0 times

Source page: http://commons.wikimedia.org/wiki/File:DCT_Forumla_.jpg
TeX logo
This image shows some kind of formula that could be converted to TeX. The MediaWiki TeX interpreter generates either PNG images or simple HTML markup, depending on user preferences and the complexity of the expression. In future, as more browsers are smarter, it will be able to generate enhanced HTML or even MathML in many cases. Storing formulas as images makes it harder to change them. TeX also helps making sure that they all use the same font and size.
A replacement has been proposed: <math>\begin{array}{l}B_{pq}=\alpha_p \alpha_q \sum_{m=0}^{M-1} \sum_{n=0}^{N-1} A_{mn} \cos\frac{\pi(2m+1)p}{2M} \cos\frac{\pi(2n+1)q}{2N},\qquad 0 \le p \le M-1,\; 0 \le q \le N-1 \\ \alpha_p=\begin{cases}\frac{1}{\sqrt{M} },&p=0 \\ \sqrt{\frac{2}{M} },&1\le p\le M-1\end{cases} \qquad \alpha_q=\begin{cases}\frac{1}{\sqrt{N} },&q=0 \\ \sqrt{\frac{2}{N} },&1\le q\le N-1\end{cases}\end{array}</math>

\begin{array}{l}B_{pq}=\alpha_p \alpha_q \sum_{m=0}^{M-1} \sum_{n=0}^{N-1} A_{mn} \cos\frac{\pi(2m+1)p}{2M} \cos\frac{\pi(2n+1)q}{2N},\qquad 0 \le p \le M-1,\; 0 \le q \le N-1 \\ \alpha_p=\begin{cases}\frac{1}{\sqrt{M} },&p=0 \\ \sqrt{\frac{2}{M} },&1\le p\le M-1\end{cases} \qquad \alpha_q=\begin{cases}\frac{1}{\sqrt{N} },&q=0 \\ \sqrt{\frac{2}{N} },&1\le q\le N-1\end{cases}\end{array}


English: Formula used to calculate the DCT in a 2D array.
Español: Formula utilizada para realizar el calculo de la DCT en una matriz 2D.
Date 20 October 2009(2009-10-20)
Source UPCommons
Author Sergi Laencina Verdaguer


w:en:Creative Commons
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).

File usage on other wikis

Creative Commons Attribution 3.0 Unported


Only registered users can post comments. Please login

EXIF data:
File name dct_forumla_.jpg
Size, bytes 19556
Mime type image/jpeg
The images at Free-Photos.biz come mainly from Wikimedia Commons or from our own production. The photos are either in the public domain, or licensed under free linceses: Free-Photos.biz license, GPL, Creative Commons or Free-Art license. Some very few other photos where uploaded to Free-Photos.biz by our users and released into the public domain or into free usage under another free license (like GPL etc.)

All photos in average size can be saved by everyone without registration (by right-clicking) - and all photos can be downloaded in full-size and without the big watermark by members (by left-clicking) (registration and free membership required).

While the copyright and licensing information supplied for each photo is believed to be accurate, Free-Photos.biz does not provide any warranty regarding the copyright status or correctness of licensing terms. If you decide to reuse the images from Free-Photos.biz, you should verify the copyright status of each image just as you would when obtaining images from other sources.

The use of depictions of living or deceased persons may be restricted in some jurisdictions by laws regarding personality rights. Such images are exhibited at Free-Photos.biz as works of art that serve higher artistic interests.

christianity portal