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%% Nearest-Neighbor Interpolation Using a delaunayTriangulation Query % This example shows how to perform nearest-neighbor interpolation on a % scattered set of points using a specific Delaunay triangulation. %% % Create a |delaunayTriangulation| of a set of scattered points in 2-D. P = -2.5 + 5*gallery('uniformdata',[50 2],0); DT = delaunayTriangulation(P) %% % Sample a parabolic function, _V(x,y)_, at the points specified in |P|. V = P(:,1).^2 + P(:,2).^2; %% % Define 10 random query points. Pq = -2 + 4*gallery('uniformdata',[10 2],1); %% % Perform nearest-neighbor interpolation on |V| using the triangulation, % |DT|. Use |nearestNeighbor| to find the indices of the nearest-neighbor % vertices, |vi|, for the set of query points, |Pq|. Then examine the % specific values of |V| at the indices. vi = nearestNeighbor(DT,Pq); Vq = V(vi)