Alan Zucconi

Tag: maths

  • PCA for Programmers

    PCA for Programmers

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    In today’s world, data is everywhere—and often, it’s overwhelming. Datasets can have hundreds or even thousands of features, many of which are redundant or noisy. Visualising data is an essential skill that allows Data Scientists to effectively highlight structures and relationships that would otherwise remain hidden. This series of tutorials will focus on Principal Component…

  • 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 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…

  • Linear Interpolation

    Linear Interpolation

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    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…

  • The Mathematics of Catenary

    The Mathematics of Catenary

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    Many modern games feature hanging wires, cables and chains; this series of tutorials will explore the mathematics behind their shape, which is known as catenary. You can find the Unity package to create catenaries in Unity at the end of the post.

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