Alan Zucconi

Category: Maths

  • Unity 4D #4: Creating 4D Objects

    Unity 4D #4: Creating 4D Objects

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    This article will explain how to create four dimensional objects, in a format compatible with the Unity4D extension. You can find all the articles in this series here:

  • Unity 4D #3: Rendering 4D Objects

    Unity 4D #3: Rendering 4D Objects

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    This article will explain how to render 4D objects in Unity, using three separate technique: orthographic projection, perspective projection and cross-section. You can find all the articles in this series here: A link to download the Unity4D package can be found at the end of this article.

  • Unity 4D #2: Extending Unity to 4D

    Unity 4D #2: Extending Unity to 4D

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    This article will show how to extend Unity to support four-dimensional geometry. This is the second article in a series of four, and the first one which will probably start discussing the Mathematics and the C# code necessary to store and manipulate 4D objects in Unity. You can find all the articles in this series…

  • Unity 4D #1: Understanding the Fourth Dimension

    Unity 4D #1: Understanding the Fourth Dimension

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    This is the first part of a series of articles dedicated to extending Unity from 3D to 4D. In this instalment, we will explore the fourth dimension, from its representations in movies and video games, to its more mathematical and geometrical interpretations. At the end of the series, you will learn how to create and…

  • The Mathematics of Thin-Film Interference

    The Mathematics of Thin-Film Interference

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    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…

  • The Extended Kalman Filter

    The Extended Kalman Filter

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    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:

  • Modelling Kalman Filters

    Modelling Kalman Filters

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    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:

  • The Mathematics of the Kalman Filter

    The Mathematics of the Kalman Filter

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    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…

  • Colour Curve Correction

    Colour Curve Correction

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    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…

  • Piecewise Interpolation

    Piecewise Interpolation

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    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…