📄 rota1001fill.m
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function Q = rota1001fill(A10, A01, bgval)%------------------------------------------------------------------------------%% The quincunx grid as constituted by A10 and A01 is rotated and mapped% onto a rectangular grid together with the corresponding values.% The excess area is filled by padding with value bgval if explicitly% desired, else with the first value of A10. Note that the latter% choice doesn't change neither the minimum nor maximum of the gridfunctions.%% Design and implementation by:% Dr. Paul M. de Zeeuw <Paul.de.Zeeuw@cwi.nl> http://homepages.cwi.nl/~pauldz/% Last Revision: April 7, 2003.% Copyright 1999-2003 Stichting CWI, Amsterdam%------------------------------------------------------------------------------[n10, m10]=size(A10);[n01, m01]=size(A01);if m01 > m10 error(' rota1001fill - dimensions do not match for m01 > m10 ')end if n10 > n01 error(' rota1001fill - dimensions do not match for n10 > n01 ')end if m10 > m01+1 error(' rota1001fill - dimensions do not match for m10 > m01+1 ')end if n01 > n10+1 error(' rota1001fill - dimensions do not match for n01 > n10+1 ')end %% m01 <= m10 <= m01+1 is satisfied% n10 <= n01 <= n10+1 is satisfied%if nargin == 3 c = bgval;elseif nargin == 2 c = A10(1,1);else error(' rota1001fill - number of arguments should be either 2 or 3 ')endnQ = n10+m10;mQ=max([(n10+m10-1) (n01+m01-1)]);Q=reshape(linspace(c,c,nQ*mQ),nQ,mQ);%for j=1:m10 for i=1:n10 iq= i - j + m10 + 1; jq= i + j - 1; Q(iq,jq)=A10(i,j); endend%for j=1:m01 for i=1:n01 iq= i - j + m10; jq= i + j - 1; Q(iq,jq)=A01(i,j); endend %------------------------------------------------------------------------------
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