www.gusucode.com > pde 案例源码 matlab代码程序 > pde/GeometryFromAlphaShapeExample.m
%% Geometry from alphaShape % Create an |alphaShape| object of a block with a cylindrical hole. Import % the geometry into a PDE model from the |alphaShape| boundary. %% % Create a 2-D mesh grid. [xg, yg] = meshgrid(-3:0.25:3); xg = xg(:); yg = yg(:); %% % Create a unit disk. Remove all the mesh grid points that fall inside the % unit disk, and include the unit disk points. t = (pi/24:pi/24:2*pi)'; x = cos(t); y = sin(t); circShp = alphaShape(x,y,2); in = inShape(circShp,xg,yg); xg = [xg(~in); cos(t)]; yg = [yg(~in); sin(t)]; %% % Create 3-D copies of the remaining mesh grid points, with the % |z|-coordinates ranging from 0 through 1. Combine the points into an % |alphaShape| object. zg = ones(numel(xg),1); xg = repmat(xg,5,1); yg = repmat(yg,5,1); zg = zg*(0:.25:1); zg = zg(:); shp = alphaShape(xg,yg,zg); %% % Obtain a surface mesh of the |alphaShape| object. [elements,nodes] = boundaryFacets(shp); %% % Put the data in the correct shape for |geometryFromMesh|. nodes = nodes'; elements = elements'; %% % Create a PDE model and import the surface mesh. model = createpde(); geometryFromMesh(model,nodes,elements); %% % View the geometry and face numbers. pdegplot(model,'FaceLabels','on','FaceAlpha',0.5) %% % To use the geometry in an analysis, create a volume mesh. generateMesh(model);