File:160 by 160 thumbnail of 'Green Sea Shell' - 1.1. fourier filtered image for downsampling to 40 x 40 in fourier domain.png

Original file(1,116 × 876 pixels, file size: 24 KB, MIME type: image/png)

Summary

Description
English: 160_by_160_thumbnail_of_'Green_Sea_Shell' - 1.1. fourier filtered image for downsampling to 40 x 40 in fourier domain.

In R channel in fourierdomain, logarithmic. Zero frequency in the center.

matlab Code: filt=zeros(160,160); filt(1:20,1:20)=1; filt(end-19:end,1:20)=1; filt(1:20,end-19:end)=1; filt(end-19:end,end-19:end)=1; x160_f(:,:,1)=ifft2(fft2(double(x160(:,:,1))).*filt); x160_f(:,:,2)=ifft2(fft2(double(x160(:,:,2))).*filt); x160_f(:,:,3)=ifft2(fft2(double(x160(:,:,3))).*filt);

figure; imagesc(fftshift(log(abs(fft2(x160_f(:,:,1))))));

% information content of the R channel

sum(sum(abs(fft2(x160_f(:,:,1)))))./sum(sum(abs(fft2(x160(:,:,1)))))

% 32.99% of the relevant effective infromation is retained instead of the expected 6.25% (1/16) -> 5.28x more information as expected, ultimately due to the low frequency character and fourier domain sparsity of the image
Date
Source File:160_by_160_thumbnail_of_'Green_Sea_Shell'.png
Author James Petts / shaddim

Licensing

w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic 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 give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

1 April 2016

image/png

af5a8d4c6f6432773d9517c158609174b1ea2fd2

24,726 byte

876 pixel

1,116 pixel

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current21:21, 5 April 2017Thumbnail for version as of 21:21, 5 April 20171,116 × 876 (24 KB)Ayane m44% file size reduction
11:33, 3 April 2016Thumbnail for version as of 11:33, 3 April 20161,116 × 876 (43 KB)ShaddimUser created page with UploadWizard
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Global file usage

The following other wikis use this file: