Tag Archives: mathematics

Transforming “noise” and random variables through non-linearities

Posted on March 16, 2022 by bartwronski

This post covers a topic slightly different from my usual ones and something I haven’t written much about before – applied elements of probability theory. We will discuss what happens with “noise” – a random variable – when we apply … Continue reading →

Posted in Code / Graphics | Tagged blue noise, graphics, graphics programming, image processing, jax, mathematics, maths, noise, programming, python | Leave a comment

Light transport matrices, SVD, spectral analysis, and matrix completion

Posted on February 15, 2022 by bartwronski

In this post I’ll describe a small hike into the landscape of using linear algebra methods for analyzing seemingly non-algebraic problems, like light transport. This is very common in some domains of computer science / electrical engineering (seeing everything as … Continue reading →

Posted in Code / Graphics | Tagged image based lighting, linear algebra, mathematics | 1 Comment

Tech and scientific writing – graphics, diagram and graph creation tools

Posted on October 22, 2017 by bartwronski

Few days ago, I asked a question on twitter: https://twitter.com/BartWronsk/status/919618905319997440 “What is industry/academic standard for diagrams in tech writing? PowerPoint/GoogleDocs diagrams? Dedicated tool like Visio/Dia? Procedural? I usually use first, but far from satisfied…For proc tried SVG,JS,Graphviz,even Mathematica, but results … Continue reading →

Posted in Code / Graphics | Tagged diagrams, mathematica, mathematics, tech writing, tools | 3 Comments

Cull that cone! Improved cone/spotlight visibility tests for tiled and clustered lighting

Posted on April 13, 2017 by bartwronski

In this blog post, I will present some common spotlight culling techniques and propose one small improvement that is able to correct results of cheap, tiled / clustered culling on the CPU/GPU with almost negligible ALU cost. If you know … Continue reading →

Posted in Code / Graphics | Tagged cone, culling, geometry, graphics, ideas, lighting, mathematica, mathematics, occlussion, programming, sphere, spot, visibility | 9 Comments

Small float formats – R11G11B10F precision

Posted on April 2, 2017 by bartwronski

While this post is not yet dithering related, it is in a way a part of my series about dithering. You can check index of all parts here or check the previous part. I will talk here about use of … Continue reading →

Posted in Code / Graphics | Tagged float, floating point, floats, graphics, mathematica, mathematics, noise, programming, quantization, rendering | 10 Comments

Dithering part three – real world 2D quantization dithering

Posted on October 30, 2016 by bartwronski

In previous two parts of this blog post mini-series I described basic uses mentioned blue noise definition, referenced/presented 2 techniques of generating blue noise and one of many general purpose high-frequency low-discrepancy sampling sequences. In this post, we will look … Continue reading →

Posted in Code / Graphics | Tagged bayer, blue noise, dithering, fourier, graphics, graphics programming, interleaved gradient noise, mathematica, mathematics, maths, noise, programming, sampling | 7 Comments

Dithering part one – simple quantization

Posted on October 30, 2016 by bartwronski

Introduction First part of this mini-series will focus on more theoretical side of dithering -some history and applying it for 1D signals and to quantization. I will try to do some frequency analysis of errors of quantization and how dithering … Continue reading →

Posted in Code / Graphics | Tagged dithering, mathematica, mathematics, noise, programming, sampling | 2 Comments

Image dynamic range

Posted on September 1, 2016 by bartwronski

Intro This post is a second part of my mini-series about dynamic range in games. In this part I would like to talk a bit about dynamic range, contrast/gamma and viewing conditions. You can find the other post in the series here and … Continue reading →

Posted in Code / Graphics | Tagged dynamic range, graphics, graphics programming, HDR, mathematica, mathematics, postprocessing, tonemapping, visuals | 13 Comments

On pursuit of (good) free mathematics toolbox

Posted on January 19, 2014 by bartwronski

Introduction Mathematics are essential part of (almost?) any game programmers work. It was always especially important in work of graphics programmers – all this lovely linear algebra and analytic geometry! – but with more powerful hardware and more advanced GPU … Continue reading →

Posted in Code / Graphics | Tagged graphics programming, mathematica, mathematics, python, sublime text, winpython | 1 Comment