Questions tagged [delaunay-triangulation]

The process of generating a subdivision of ${R}^{2}$ consisting of conforming triangles from a given point set. The delaunay triangulation has the special property that no 4 points lie in the circumcircle of any given triangle. The concept extends to ${R}^{3}$ (sometimes referred to as a tetrahedralization), and ${R}^{d}$ (as mesh of simplices).

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Why is my lower convex hull extraction algorithm not working?

Recently, I wrote an algorithm to obtain a delaunay triangulation of a random point set in $I=[-10,10]$x$[-10,10] \subset R^2$ by projecting these points onto the 3 dimensional paraboloid $z=x^2+y^2$, ...
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Approximate the largest simplex in N-dimensional Delaunay triangulation

I am working on determining the spatial information of a set of $M$ points in $N$-dimensional space. It is well-known that the construction of Delaunay triangulation is expensive in high dimensional ...
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Fast Algorithms for the Simplicial Decomposition of a Convex Polytope in N-Dimensions

I'm in the process of constructing an algorithm which computes the Voronoi diagram of a set of points, but I now need a method to decompose each Voronoi cell into simplices. The information we have is:...
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linearly interpolate and determine gradients for data on non-uniform grid

I have measurements of a quantity on a 3d grid. My measurements are distributed on four x-y planes similar to what is shown in the image below. The measurements roughly follow a Cartesian grid but ...
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features recognition & reconstruction of 3d mesh delaunay matlab

I managed to display the coordinates of x,y and z into a 3D mesh by using delaunay function. The coordinates are in .obj format actually and i have read it into matrix form. Now, i would like to ...