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%% Interpolation of Complex Scattered Data % This example shows how to interpolate scattered data when the value at each sample location is complex. % Copyright 2015 The MathWorks, Inc. %% % Create the sample data. X = -3 + 6 .* gallery('uniformdata',[250 2],0); V = complex(X(:,1).*X(:,2), X(:,1).^2 + X(:,2).^2); %% % Create the interpolant. F = scatteredInterpolant(X,V); %% % Create a grid of query points and evaluate the interpolant at the grid points. [Xq,Yq] = meshgrid(-2.5:0.125:2.5); Vq = F(Xq,Yq); %% % Plot the real component of |Vq|. VqReal = real(Vq); figure surf(Xq,Yq,VqReal); xlabel('X'); ylabel('Y'); zlabel('Real Value - V'); title('Real Component of Interpolated Value'); %% % Plot the imaginary component of |Vq|. VqImag = imag(Vq); figure surf(Xq,Yq,VqImag); xlabel('X'); ylabel('Y'); zlabel('Imaginary Value - V'); title('Imaginary Component of Interpolated Value');