Maths

There are 42 posts filed in Maths (this is page 1 of 5).

The Mathematics of Thin-Film Interference

This post continues our journey through the Mathematical foundations of iridescence. This time, we will discuss a new way in which material can split light: thin-film interference. This is how bubbles (and car paint) get their unique reflections.

You can find the complete series here:

A link to download the Unity project used in this series is also provided at the end of the page.

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The Extended Kalman Filter

This is the third part of the series dedicated to one of the most popular sensor de-noising technique: Kalman filters. This article will explain how to model non-linear processes to improve the filter performance, something known as the Extended Kalman Filter.

You can read all the tutorials in this online course here:

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Modelling Kalman Filters

This is the third part of the series dedicated to one of the most popular sensor de-noising technique: Kalman filters. This article will explain how to model processes to improve the filter performance.

You can read all the tutorials in this online course here:

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The Mathematics of the Kalman Filter

This is the second part of the series dedicated to one of the most popular sensor de-noising technique: Kalman filters. This article will introduce the Mathematics of the Kalman Filter, with a special attention to a quantity that makes it all possible: the Kalman gain.

You can read all the articles in this online course here:

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Colour Curve Correction

This is the third and final part of the tutorial dedicated to one of the most used Mathematical tools in Game Development: linear interpolation! In this part, we will explore how to use it to correct colour curves.

You can find a link to download the C# scripts and the Unity package used at the end of this post.

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Piecewise Interpolation

This is the second part of the tutorial dedicated to one of the most used Mathematical tools in Game Development: linear interpolation! In this part, we will explore how to extend the concept of linear interpolation to non-linear mappings. The final part will explore how to use them to correct colour curves.

You can find a link to download the C# scripts and the Unity package used at the end of this post.

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Linear Interpolation

This tutorial will explore one of the most used Mathematical tools in Game Development: linear interpolation! This first post will focus on its Mathematical definition and implementation. The following parts of this series will explore how to extend linear interpolation to non-linear mappings, and how to use them to correct colour curves.

You can find a link to download the C# scripts and the Unity package used at the end of this post.

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Inverse Kinematics in 3D

This tutorial will teach you how to master inverse kinematics in 3D: the technique that solves the problem of moving a robotic arm to reach for a specific target.

You can read the rest of this online course here:

A link to download the entire Unity package can be found at the end of this tutorial.

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Improving Floating-Point Precision in C#

This tutorial continues the journey to understand floating-point arithmetic, and how to improve the precision of modern programming language types.

At the end of this article, you will find a link to download a simple C# library that provides a new type which improves the precision of traditional floatĀ and doubleĀ variables.

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An Introduction to Floating-Point Arithmetic

This tutorial will introduce you to floating-point arithmetic, and how many modern languagesā€”C# includedā€”represent real numbers. This is a series in two parts:

At the end of this article, you will find a link to download a simple C# library that provides a new type which improves the precision of traditional floatĀ and doubleĀ variables.

Continue reading →