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%% Using the delaunay and delaunayn functions % Copyright 2015 The MathWorks, Inc. %% Section 1 % This example shows how to use the |delaunay| function to create a 2-D % Delaunay triangulation from the seamount data set. A _seamount_ is an % underwater mountain. The data set consists of a set of longitude (|x|) % and latitude (|y|) locations, and corresponding seamount elevations (|z|) % measured at those coordinates. %% % Load the seamount data set and view the (|x|, |y|) data as a scatter % plot. load seamount plot(x,y,'.','markersize',12) xlabel('Longitude'), ylabel('Latitude') grid on %% % Construct a Delaunay triangulation from this point set and use |triplot| % to plot the triangulation in the existing figure. tri = delaunay(x,y); hold on, triplot(tri,x,y), hold off %% % Add the depth data (|z|) from seamount to lift the vertices and create % the surface. Create a new figure and use |trimesh| to plot the surface % in wireframe mode. figure hidden on trimesh(tri,x,y,z) xlabel('Longitude'),ylabel('Latitude'),zlabel('Depth in Feet'); %% % If you want to plot the surface in shaded mode, use |trisurf| instead of % |trimesh|. %% % A 3-D Delaunay triangulation also can be created using the |delaunay| % function. This triangulation is composed of tetrahedra. %% Section 2 % This example shows how to create a 3-D Delaunay triangulation of a random % data set. The triangulation is plotted using |tetramesh|, and the % |FaceAlpha| option adds transparency to the plot. X = gallery('uniformdata',[30 3],0); tet = delaunay(X); faceColor = [0.6875 0.8750 0.8984]; tetramesh(tet,X,'FaceColor', faceColor,'FaceAlpha',0.3);