Author Archives: mikolalysenko

Texture atlases, wrapping and mip mapping

Posted on July 9, 2013

Today I want to write about what is probably the single most common question that gets asked regarding greedy meshes.  Specifically: How can greedy meshes be texture mapped? One naive solution might be to create a separate texture for each … Continue reading → Continue reading →

Posted in Miscellaneous | 17 Comments

Ambient occlusion for Minecraft-like worlds

Posted on July 3, 2013

It has been a while since I’ve written about Minecraft-like games, and so today I figured I’d take a moment to discuss something which seems to come up a lot in online discussions, specifically how to implement ambient occlusion in … Continue reading →

Posted in Programming, Voxels | 15 Comments

Relations are hard to model in category theory

Posted on June 4, 2013

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

Posted on June 1, 2013

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 →

Posted in Mathematics, Programming | Leave a comment

Cache oblivious array operations

Posted on May 28, 2013

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

Posted on May 22, 2013

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

Comparing Sequences Without Sorting

Posted on January 24, 2013

This is a post about a silly (and mostly pointless) optimization.  To motivate this, consider the following problem which you see all the time in mesh processing: Given a collection of triangles represented as ordered tuples of indices, find all … Continue reading →

Posted in Mathematics, Programming | 24 Comments

CommonJS: Why and How

Posted on January 22, 2013

As I said last time, I want to start moving more of my stuff into npm, and so I think perhaps today would be a good time to explain why I think this is the right way to go, and … Continue reading →

Posted in Miscellaneous, Programming | Tagged , , | 3 Comments

New Year’s Resolution: Post more stuff on npm

Posted on January 15, 2013

First thing, I’d like to help announce/promote a project which I think is pretty cool (but am not directly involved in) which is voxeljs.  It is being developed by @maxogden and @substack, both of which are very active in the … Continue reading →

Posted in Miscellaneous | Tagged , , | 1 Comment

Shapes and Coordinates

Posted on January 11, 2013

In a previous post, I talked a bit about solid modeling and discussed at a fairly high level what a solid object is.  This time I’m going to talk in generalities about how one actually represent shapes in practice.  My … Continue reading →

Posted in Mathematics, Shape Modeling | 1 Comment