Category: Linear Algebra

#016 3D Face Modeling – Linear camera model

Highlight: In this post, we are going to talk about what calibration is and how it is performed. Calibration represents the process of going from one coordinate system to another, for example going from meters to pixels. We will explain how an image is formed, in more detail, how we go from the 3D scene in the real world to the 2D image plane in the camera. In this post, we are going to review…
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#015 3D Face Modeling – The geometric image formation

Highlight: In this post, we are going to talk about the geometric image formation process and some basic camera models. We will explain in detail how 3D points/lines are projected in 2D planes. How it all started. Inside an entirely dark room that had only one little pinhole in the door, the outside scenes and objects were projected upside down onto the dark wall. This was due to the illumination of the light that was…
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#013 3D Face Modeling – Creating a 3D model of a cube from one image

Highlights: Hello, and welcome. In this post, we’re going to talk about how we can create a 3D model of a cube with only one image as input. The way we are going to achieve this is the same as we explained previously for the 3D face model. So let us begin! 1. Creating 3D cubes The first step we need to do is to create different 3D cubes to replicate a database of 3D…
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#014 3D Face Modeling – Understanding primitives and transformations for image formation (Version A)

Highlights: Hello and welcome to our new post. In this lecture, we will continue gaining a good understanding of the image formation process. In particular, we are going to talk about how we can project a 3D scene onto a 2D image. We will introduce basic primitives and transformations in conventional but also in so-called homogeneous coordinates which play a fundamental role in describing objects and projections in 3D computer vision. Once we have an…
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#014 3D Face Modeling – Understanding primitives and transformations for image formation (Version B)

Highlight: Hi and welcome to our new post! In this post, we will continue our journey of understanding how fundamental computer vision techniques work. We first need to understand how images are formed, and how to go from a 3D scene to a 2D image. By understanding this we can develop models that mathematically formalize this process. So, let us start. Understanding what are primitives They represent the basic building blocks that are used to…
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