File:BicubicInterpolationExample.png

From Department of Mathematics at UTSA
Jump to navigation Jump to search

Original file(1,976 × 1,540 pixels, file size: 65 KB, MIME type: image/png)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

File:Interpolation-bicubic.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.

File:BicubicInterpolationExample.png → File:Interpolation-bicubic.svg

For more information, see Help:SVG.

In other languages
Alemannisch  العربية  беларуская (тарашкевіца)  български  বাংলা  català  нохчийн  čeština  dansk  Deutsch  Ελληνικά  English  British English  Esperanto  español  eesti  euskara  فارسی  suomi  français  Frysk  galego  Alemannisch  עברית  hrvatski  magyar  հայերեն  Bahasa Indonesia  Ido  italiano  日本語  ქართული  한국어  lietuvių  македонски  മലയാളം  Bahasa Melayu  norsk bokmål  Plattdüütsch  Nederlands  norsk nynorsk  norsk  occitan  polski  prūsiskan  português  português do Brasil  română  русский  sicilianu  Scots  slovenčina  slovenščina  српски / srpski  svenska  தமிழ்  ไทย  Türkçe  татарча / tatarça  українська  vèneto  Tiếng Việt  中文  中文(中国大陆)  中文(简体)  中文(繁體)  中文(马来西亚)  中文(新加坡)  中文(臺灣)  中文(臺灣)  +/−
New SVG image

Summary

Description Illustration of en:Bicubic interpolation on a dataset. Compare with Image:Nearest2DInterpolExample.png and Image:BilinearInterpolExample.png, they share the dataset.
Date Unknown date
Source self-made in en:Matlab
Author Berland

Matlab code

[Xcoarse, Ycoarse] = meshgrid([0 1 2 3], [0 1 2 3]);
[Xfine, Yfine] = meshgrid(linspace(0,3,3000), linspace(0,3,3000));
DataCoarse = [ 1 2 4 1; ...
               6 3 5 2; ...
               4 2 1 5; ...
               5 4 2 3];
DataBicubicFine  = interp2(Xcoarse, Ycoarse, DataCoarse, Xfine, Yfine, 'bicubic');
figure
surf(Xfine, Yfine, DataBicubicFine); shading flat; colormap(jet); view(0, 90)
hold on; plot3(Xcoarse, Ycoarse, 10*ones(size(Xcoarse)), 'k.', 'MarkerSize', 20)
colorbar
print -dpng -r300 BicubicInterpolationExample.png 

The files have been cropped in gimp to remove the empty Matlab border.

NOTE: Bicubic interpolation has the feature that it does not necessarily respect the initial data-interval. In this example:

>> max(max(DataBicubicFine))
ans =
    6.0701
>> min(min(DataBicubicFine)) 
ans =
    0.6882

whereas the input data has minimum 1 and maximum 6.

Licensing

Public domain This work has been released into the public domain by its author, Berland. This applies worldwide.
In some countries this may not be legally possible; if so:
Berland grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

image/png

526919bf5dd5b46bd16c4dfc964923e5655d3d6b

67,053 byte

1,540 pixel

1,976 pixel

File history

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

Date/TimeThumbnailDimensionsUserComment
current11:46, 3 June 2010Thumbnail for version as of 11:46, 3 June 20101,976 × 1,540 (65 KB)AiyizoLoslessly converted to 98 color mode.

The following page uses this file: