I have already plotted the 3d graph but now I want the section view at various gamma values(z-axis).
MATLAB: How can get section view of 3d plot
3d plosection view
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One option you might look at is alphaShape. It's similar to convhull, but more general. It will create non-convex shapes.
You use it like this. First I need a simple cloud of points.
npts = 75;pts = randn(npts,3);scatter3(pts(:,1),pts(:,2),pts(:,3),'filled')
Then I create my alphaShape, and plot it.
shp = alphaShape(pts);h = plot(shp);
But the reason this might be useful for you, is that it has a method that will return the volume of the shape:
volume(shp)ans = 27.3914And another method which will tell you whether other points are inside the shape.
testpts = randn(150,3);inmask = inShape(shp,testpts);h.FaceColor = [.75 .75 .75];h.FaceAlpha = .25;hold onscatter3(testpts(inmask,1),testpts(inmask,2),testpts(inmask,3),'.','MarkerEdgeColor','green')scatter3(testpts(~inmask,1),testpts(~inmask,2),testpts(~inmask,3),'.','MarkerEdgeColor','red')
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