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Showing result 1 - 5 of 8 essays matching the above criteria.

  1. 1. Projective Geometry in Kinematics

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Emil Eriksson; [2024]
    Keywords : ;

    Abstract : In this thesis, we study projective geometry and show a connection to kinematics. We show how the group of rigid body motions in three-dimensional space can be parameterized on a hyperbolic quadric in a seven-dimensional projective space. We also show that this quadric is a geometry with triality, and we discuss triality from a kinematic viewpoint. READ MORE

  3. 2. On Geometric Number

    University essay from Uppsala universitet/Analys och partiella differentialekvationer

    Author : Petter Gunnarsson; [2023]
    Keywords : clifford algebra; hypercomplex number; octonion;

    Abstract : This is an overview of geometric algebras in dimensions 0-4 from the perspective of the concept of number itself. It is developed from a historic viewpoint and investigates and develops a pedagogic approach emphasizing the geometric aspects of the subject. READ MORE

  4. 3. Automation of forest road inventory using computer vision and machine learning

    University essay from Umeå universitet/Institutionen för fysik

    Author : Jacques de Flon; [2023]
    Keywords : Computer vision; Machine Learning; Image recognition; forestry; road inventory; pothole; gravel road;

    Abstract : There are around 300, 000 kilometer of gravel roads throughout the Swedish countryside, used every day by common people and companies. These roads face constant wear due to harsh weather as well as from heavy traffic, and thus, regular maintenance is required to keep up the road standard. READ MORE

  5. 4. Murphy's Law for Schemes

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Isak Sundelius; [2023]
    Keywords : algebraic geometry; matroids; Mnëv s theorem; Grassmannians;

    Abstract : This paper aims at presenting the necessary tools to prove that a scheme of finite type over Z exhibits the same singularities as those which occur on a Grassmann variety. First, basic theory regarding the combinatorial objects matroids is presented. READ MORE

  6. 5. Unsupervised 3D Human Pose Estimation

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Sri Datta Budaraju; [2021]
    Keywords : Computer Vision; Projective Geometry; Deep Learning; Unsupervised Learning; 3D Human Pose Estimation; GAN; AutoEncoder; Hybrid Generative Model; Self Supervision;

    Abstract : The thesis proposes an unsupervised representation learning method to predict 3D human pose from a 2D skeleton via a VAEGAN (Variational Autoencoder Generative Adversarial Network) hybrid network. The method learns to lift poses from 2D to 3D using selfsupervision and adversarial learning techniques. READ MORE