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Say you have a segment defined by 2 points $a,b$ and a third point $p$. You want to know the distance from $p$ to the midpoint of the edge. This is very straightforward: $$d = \|\frac{a + b}{2} - p\|$ …

I want to implement a delaunay triangulator by using incremental building, which is purported to be $O(n \log(n))$ I am a little puzzled about 2 things. Ever resource I read on the matter says: Make …

I am trying to find resources that explain an easy to implement (not necessarily optimal but reasonable runtime) algorithm for inserting Steiner points in a triangulation. …

I am trying to find a resource which explains how to compute the constrained Delaunay triangulation of a set of points and edge constraints, I found these slides by Jonathan Shewchuck, but without the …

Page 7 of "FAST ALGORITHM FOR GENERATING CONSTRAINED DELAUNAY TRIANGULATIONS" (a publication on a CDT algorithm) explains the process very clearly and the figures are extremely useful.

I went about this problem as follows: Find the centroid of the point set as well as the largest distance from the centroid to any of the points. This yields a circle, compute a triangle that fully co …

I implemented an incremental Delaunay triangulation algorithm. It basically works except it has this weird issue. … But when I take these points out, I will delete the edges, creating a non convex triangulation. …

The best resources I have so far are these 2: https://sites.google.com/site/samsoninfinite/multivariable-calculus/constrained-delaunay-triangulation https://en.wikipedia.org/wiki/Delaunay_refinement … I have the following (which is broken): Input: A list of points, A list of ordered integer pairs defining the constraint segments The angle constraint Algorithm: * compute a delaunay triangulation …

Vec3, point_count: usize, segments: &dyn Fn(usize) -> [usize; 2], segment_count: usize, angle_constraint: f32, area_constraint: f32, ) -> HalfMesh<Vec3, (), ()> { // Compute a triangulation … queue.push_back(edge_handle.next().id()); queue.push_back(edge_handle.pair().prev().id()); } } } The summarizing pseudo code would be: Compute a constrained Delaunay triangulation …

I figured it out. The implementation of lawson's algorithm I had was incorrect, this is the right one: /// Recursively flips triangles around a determined vertex until all pass the /// delaunay test …