File:Linear Interpolation 2D.svg

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Original file(SVG file, nominally 281 × 156 pixels, file size: 15 KB)

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Summary[edit]

Description
English: bilinear interpolation, upscaling of a 2x2 block by a factor of 2
Deutsch: bilineare Interpolation, Vergrößerung eines 2x2-Blockes um den Faktor 2
Date
Source Own work
Author Matthias.Kirchner

This file has been generated using TikZ (with the tex4ht driver).

\documentclass{scrartcl}
\def\pgfsysdriver{pgfsys-tex4ht.def}
\usepackage{tikz}
\usetikzlibrary{calc}

\definecolor{gray100}{gray}{0.3921569}
\definecolor{gray128}{gray}{0.5}
\definecolor{gray132}{gray}{0.5176471}
\definecolor{gray190}{gray}{0.745098}

%% TikZ styles
\tikzstyle{pixel}=[minimum width=1cm,minimum height=1cm,fill,rectangle,text=black,anchor=south west,font=\footnotesize]
\tikzstyle{orig}=[font=\bfseries]
\tikzstyle{weight}=[font=\tiny]
\tikzstyle{connect}=[thick,red!50]

\begin{document}

\thispagestyle{empty}
\begin{tikzpicture}
 % original block
 \begin{scope}[yshift=-0.5cm]
  \node[gray190,pixel,orig] at (0,1) {190};\node[gray132,pixel,orig] at (1,1) {132};
  \node[gray128,pixel,orig] at (0,0) {128};\node[gray100,pixel,orig] at (1,0) {100};
  \draw[step=1cm,very thin] (0,0) grid (2,2);
 \end{scope}
 % resampled block
 \begin{scope}[xshift=4cm]
  \node[gray190,pixel,orig] (A) at (0,1){190};
  \node[gray190!50!gray132,pixel] (D) at (1,1){161};
  \node[gray132,pixel,orig] (G) at (2,1){132};
  \node[gray190!50!gray128,pixel] (B) at (0,0){159};
  \node[gray190!50!gray132!50!gray100!50!gray128,pixel] (E) at (1,0){137.5};
  \node[gray132!50!gray100,pixel] (H) at (2,0){116};
  \node[gray128,pixel,orig] (C) at (0,-1){128};
  \node[gray128!50!gray100,pixel] (F) at (1,-1){114};
  \node[gray100,pixel,orig] (I) at (2,-1){100};
  \draw[step=1cm,very thin] (0,-1) grid (3,2);
  \begin{scope}[connect]
   \draw[-latex] (A.west) to[out=-160,in=160] node[left,weight] {0.5} ($(B.west)+(0,1pt)$); 
   \draw[latex-] (B.west) to[out=-160,in=160] node[left,weight] {0.5} (C.west);
   \draw[-latex] (G.east) to[out=-20,in=20] node[right,weight] {0.5} ($(H.east)+(0,1pt)$);
   \draw[latex-] (H.east) to[out=-20,in=20] node[right,weight] {0.5} (I.east);
   \draw[-latex] (A.north) to[out=70,in=110] node[above,weight] {0.5} ($(D.north)-(1pt,0)$);
   \draw[latex-] (D.north) to[out=70,in=110] node[above,weight] {0.5} (G.north);
   \draw[-latex] (C.south) to[out=-70,in=-110] node[below,weight] {0.5} ($(F.south)-(1pt,0)$);
   \draw[latex-] (F.south) to[out=-70,in=-110] node[below,weight] {0.5} (I.south);
  \end{scope}
 \end{scope}
\end{tikzpicture}

\end{document}

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
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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.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.

File history

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Date/TimeThumbnailDimensionsUserComment
current10:30, 1 August 2009Thumbnail for version as of 10:30, 1 August 2009281 × 156 (15 KB)Matthias.Kirchner (talk | contribs){{Information |Description={{en|1=bilinear interpolation, upscaling of a 2x2 block by a factor of 2}} {{de|1=bilineare Interpolation, Vergrößerung eines 2x2-Blockes um den Faktor 2 }} |Source=Own work by uploader |Author=[[User:Matthias.Kirchner|Matthia

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