root/OptimizingMATLABCode/blockAvgEx/blockAvgRedo1.m @ 11
| 10 | anderm8 | % Copyright 2015 The MathWorks, Inc.
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% Last Edited: Sean de Wolski, 05/24/2013
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function blockAvgRedo1(Nx,Ny,Nxavg,Nyavg)
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%% Example 1, Redo 1
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% Input values Nx, Ny = 1500, Nxavg, Nyavg = 25;
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%
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% Want to create a surface and look at it averaged over a
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% a particular resolution
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if ~nargin
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Nx = 1500;
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Ny = 1500;
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Nxavg = 25;
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Nyavg = 25;
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end
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%% Initial Parameter Values
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tic
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Lx = 10; % Length of x dimension
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Ly = 10; % Length of y dimension
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x = linspace(1,Lx,Nx); % Creating x vector
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y = linspace(1,Ly,Ny); % Creating y vector
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%% Setting up values of surface on grid
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% Preallocation
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mysurf = zeros(length(x),length(y));
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for i = 1:length(x)
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for j = 1:length(y)
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yp = y(j);
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xp = x(i);
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mysurf(i,j) = 5*cos((xp+yp)*2*pi)+...
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2*sin(xp*2*pi)+2*cos(xp*2*pi);
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end
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end
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%% Averaging values over the grid
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% Preallocation
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mysurf_avg = zeros(floor(length(x)/Nxavg),floor(length(y)/Nyavg));
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xavg = zeros(1,floor(length(x)/Nxavg));
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yavg = zeros(1,floor(length(y)/Nyavg));
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for i = Nxavg:length(x)
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for j = Nyavg:length(y)
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if (mod(j,Nyavg)==0 && mod(i,Nxavg)==0)
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idown = i-Nxavg+1;
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jdown = j-Nyavg+1;
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iup = i;
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jup = j;
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iavg = floor(i/Nxavg);
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javg = floor(j/Nyavg);
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mysurf_avg(iavg,javg) =...
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sum(sum(mysurf(idown:iup,jdown:jup)))/(Nxavg*Nyavg);
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xavg(iavg) = (x(iup)+x(idown))/2;
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yavg(javg) = (y(jup)+y(jdown))/2;
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end
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end
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end
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toc
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%% Plotting the results to compare
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ax(1) = subplot(2,1,1);
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imagesc(x,y,mysurf);
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title('Original Function');
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axis off
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ax(2) = subplot(2,1,2);
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imagesc(xavg,yavg,mysurf_avg);
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title('Averaged Function');
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axis off
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linkaxes(ax,'xy');
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