Category Archives: Computational Technique

TopoSynth: Incorporating Cosm

Posted on August 26, 2010 by moniker

I’ve finally completed all of the basic topological operations for TopoSynth and am now moving on to treating the dynamics of the system.  This last rule involved figuring out how to connect two extended vertices together when they collide. For … Continue reading →

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TopoSynth: Topological Structure

Posted on August 23, 2010 by moniker

DLFL Background As I had mentioned in the last post, the topological inspiration for TopoSynth is derived from TopMod and particularly the doubly-linked face list (DLFL) data structure.  The DLFL makes it particularly straightforward to always maintain a 2-manifold mesh … Continue reading →

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TopoSynth

Posted on August 16, 2010 by moniker

Ever since I found out about the excellent Structure Synth program, I wondered what it would be like to apply the same concept to topological operations.  Structure Synth works by writing rules that describe a pattern of transformations.  The transformations … Continue reading →

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Fast Multipole Method

Posted on July 20, 2010 by moniker

To get a better intuition for how the Fast Multipole Method (FMM) approximates n-body interactions, I implemented the equations in Mathematica along with the exact solution. Below are some plots for different situations.  The thing to keep in mind is … Continue reading →

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N-Body Problems

Posted on July 8, 2010 by moniker

N-Body problems inevitably come up when doing any most any kind of physical simulation work, particularly when particles are involved.  N-Body problems appear whenever the particles in a system construct a field that in turn determines their dynamics.  The classic … Continue reading →

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