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4 votes

Determine image of hypercube under linear map

I eventually found an answer. The image of a hypercube in $\Bbb R^3$ under a linear map is called a zonohedron. They can be calculated efficiently, for example using the algorithm in An Efficient ...
Oscar Cunningham's user avatar
2 votes

Name this optimum-within-convex-hull algorithm: State is a convex combination of hull vertices; Nonnegativity ensured by reparameterization

I don't know of any name for this. There are several algorithms, e.g. Newton trust region methods, that have convergence guarantees for convex optimization problems with linear inequality constraints. ...
Daniel Shapero's user avatar
2 votes

Min supporting line of a set of points

Given a set of $n$ points $\mathcal{P}$ in the 2-dimensional plane, consider the convex hull $\text{chull}(\mathcal{P}) = p_1 p_2 \dots p_h p_1$, with the boundary represented as a cycle comprised of $...
spektr's user avatar
  • 4,248
2 votes

Find the smallest convex hull that enclose an arbitrary point

It's often best to start with the simplest, easiest-to-implement algorithm you can think of to test that your intuition on a problem is correct and that what you've built will match what you need. In ...
Richard's user avatar
  • 3,971
2 votes

Find the smallest convex hull that enclose an arbitrary point

I don't understand the downvote, the community bot should have been smarter. Anyway, here is a very quick and dirty method. First of all, a convex hull can be discretized into triangles using its ...
Taozi's user avatar
  • 277
2 votes

Min supporting line for a set of points

You're allowed an algorithm that computes the hull. If this means an algorithm that computes the convex polygon then I would say consider the lines defined by adjacent points on that polygon. I think ...
Bill Bell's user avatar
  • 185
1 vote

How to formulate the convex hull which is a regular polygon on the complex plane

If you have a general set of points and want to compute its convex hull, the best option is to use an algorithm that is already implemented and tested in a library. Qhull is probably the best option, ...
nicoguaro's user avatar
  • 8,515

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