📄 del2_5pt.m
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function [output]=del2_5pt(input,delx)
% DEL2_5PT ... compute the 5 point Laplacian
%
% [output]=del2_5pt(input,delx)
%
% DEL2_5PT computes the 5 point approximation to the laplacian operator of
% the two dimensional matrix 'input'. The horizontal and vertical bin
% spacing of the matrix MUST be the same.
%
% input = input matrix
% delx = the horizontal/ vertical bin spacing in consistent units
%
% output = the output matrix
%
% by Carris Youzwishen, April 1999
%
% NOTE: It is illegal for you to use this software for a purpose other
% than non-profit education or research UNLESS you are employed by a CREWES
% Project sponsor. By using this software, you are agreeing to the terms
% detailed in this software's Matlab source file.
% BEGIN TERMS OF USE LICENSE
%
% This SOFTWARE is maintained by the CREWES Project at the Department
% of Geology and Geophysics of the University of Calgary, Calgary,
% Alberta, Canada. The copyright and ownership is jointly held by
% its author (identified above) and the CREWES Project. The CREWES
% project may be contacted via email at: crewesinfo@crewes.org
%
% The term 'SOFTWARE' refers to the Matlab source code, translations to
% any other computer language, or object code
%
% Terms of use of this SOFTWARE
%
% 1) Use of this SOFTWARE by any for-profit commercial organization is
% expressly forbidden unless said organization is a CREWES Project
% Sponsor.
%
% 2) A CREWES Project sponsor may use this SOFTWARE under the terms of the
% CREWES Project Sponsorship agreement.
%
% 3) A student or employee of a non-profit educational institution may
% use this SOFTWARE subject to the following terms and conditions:
% - this SOFTWARE is for teaching or research purposes only.
% - this SOFTWARE may be distributed to other students or researchers
% provided that these license terms are included.
% - reselling the SOFTWARE, or including it or any portion of it, in any
% software that will be resold is expressly forbidden.
% - transfering the SOFTWARE in any form to a commercial firm or any
% other for-profit organization is expressly forbidden.
%
% END TERMS OF USE LICENSE
[nrows,ncolumns]=size(input);
input2=zeros(nrows+2,ncolumns+2);
input2(2:nrows+1,2:ncolumns+1)=input;
factor=1/(delx^2);
clear input
% for first dimension
output = (input2(3:nrows+2,2:ncolumns+1) - 2.*input2(2:nrows+1,2:ncolumns+1) +...
input2(1:nrows,2:ncolumns+1))*factor;
% for second dimension
output = (input2(2:nrows+1,3:ncolumns+2) - 2.*input2(2:nrows+1,2:ncolumns+1) +...
input2(2:nrows+1,1:ncolumns))*factor+ output;
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