将Delaunay Trinagulation转换为卷

我可以通过delaunay三角剖分得到一个很好的体积表示。

如何从三角剖分到三维网格?

我在想,也许可以测试一堆查询点,找出它们是否位于三角形/四面体中,但我想不出最好的方法:

clc; clear all;
% Build a cube, in my target application this going to be from a point cloud
d = [-1 1];
[x,y,z] = meshgrid(d,d,d); % a cube
x = [x(:);0];
y = [y(:);0];
z = [z(:);0];
DT = delaunayTriangulation(x,y,z);
V=ones(size(x),'like',x);
%Build a volume from these points?
n=5;samples=linspace(-2,2);
[xq,yq,zq]=meshgrid(samples,samples,samples);
pq=[xq(:),yq(:),zq(:)];
vi = nearestNeighbor(DT,pq);
res=reshape(vi,size(xq));
%As expected, edges are messed up, not a cube...
imagesc(res(:,:,round(end/2)));
% %tetramesh(DT);