Category Archives: Mathematics

Collision detection (part 3): Benchmarks

Previously in this series we covered the basics of collision detection and discussed some different approaches to finding intersections in sets of boxes: Collision detection (part 1): Overview Collision detection (part 2): Box intersection Today, we’ll see how well this … Continue reading

Posted in Collision detection, Geometry, Mathematics, Programming | 8 Comments

Collision detection (part 2): Box intersection

Last time, we discussed collision detection in general and surveyed some techniques for narrow phase collision detection.  In this article we will go into more detail on broad phase collision detection for closed axis-aligned boxes.  This was a big problem in the 1970’s … Continue reading

Posted in Collision detection, Geometry, Mathematics, Programming | 8 Comments

Collision detection (part 1): Overview

Collision, or intersection, detection is an important geometric operation with a large number of applications in graphics, CAD and virtual reality including: map overlay operations, constructive solid geometry, physics simulation, and label placement.  It is common to make a distinction … Continue reading

Posted in Collision detection, Geometry, Mathematics, Programming, Video games | 2 Comments

Relations are hard to model in category theory

WARNING: This is a somewhat rambling post about category theory.  If half-baked mathematical philosophy is not your thing, please consider navigating away right now. Anyway, the thing that I want to write about today is the difference between category theory … Continue reading

Posted in Mathematics, Rambling | 2 Comments

ndarray modules

In the last two posts I introduced ndarrays, and explained the rationale and implementation details of the library.  In this post I am going to show a few of the libraries that I have written using ndarrays.  All of this … Continue reading

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Cache oblivious array operations

I must confess that secretly the article I wrote last time (in which I introduced ndarrays) was just a pretext to introduce the stuff that I am going to write about today: which is the cwise library for array operations … Continue reading

Posted in Mathematics, Programming | 3 Comments

Implementing Multidimensional Arrays in JavaScript

The past few months I’ve been working to move more of my work into JavaScript, and in particular the node.js ecosystem.  I hope that by doing this I will be able to create better demos and applications that are easier … Continue reading

Posted in Mathematics, Programming | 19 Comments