Triangulation with constrained edge lengths

2018 1 8
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更新时间：2018 1 9
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I am using triangulation for a Monte Carlo simulation of a physical surface. The triangulation represents a tethered sphere network. In this simulation, I need the length of the tethers, represented by the edges, to be within a certain range of length. How can I triangulate a surface, such that the the edge have lengths between a minimum and maximum length?

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Matt J
Matt J 2018-1-8
Shouldn't the physical equations take care of that? Aren't you randomly generating the points according to a distribution that controls the distance between spheres?
T Abraham
T Abraham 2018-1-8
@Matt J the length constraints are there for self-avoiding such that it is impossible for the spheres to overlap with each other during the course of the simulation. I don't understand what you mean by the physical equations taking care of that...
Matt J
Matt J 2018-1-9
Well what data are you currently generating with the Monte Carlo simulation? And with what kind of random distribution?
T Abraham
T Abraham 2018-1-9
编辑：T Abraham 2018-1-9
@Matt J the data is the dynamics of the physical surface so basically the trajectories of vertices/spheres.
What do you mean by distribution? I use a Metropolis criterion, so I guess Boltzmann distribution.

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