Super vectorizer 1.60
A codebook size is an important factor to decide the trade-off between recognition performance and computational complexity and a traditional framework has the disadvantage to image recognition issues when a large codebook the number of unique clusters becomes smaller than a designated codebook size because some clusters converge to close positions. A codebook is usually constructed by clusterings, such as the k-means and the Gaussian Mixture Model (GMM). There are four sections: Algebra and Geometry…, Applications to Physics…, Computer Vision and Robotics…, Signal Processing and Other Applications….Codebook-based feature encodings are a standard framework for image recognition issues. The volume begins with a preface written by the Editors and a useful list with contributors…. Geometric algebra includes a lot of techniques from several mathematical theories (linear algebra, vector calculus, projective geometry, complex analysis) and offers new directions in some unexpected domains like quantum physics, robotics, crystallographic groups, image understanding, relativistic mechanics, signal processing. The present book contains the papers of this scientific meeting and reflects the constantly growing interest in searching the applications of geometric algebra (or Clifford algebra) in various fields of science. "The conference ‘Applied Geometric Algebras in Computer Science and Engineering’ (AGACSE 2001) was held… July 9–13, 2001.
This book should be…useful to mathematicians…physicists, to mechanical and computer engineers." Despite this diversity, the combination of these subjects was not felt to be artificial. The articles reveal range fields: from quantum physics to robotics, from crystallographic groups to image understanding, from relativistic mechanics to signal processing. The goal was to demonstrate how the framework of geometric algebra (Clifford algebra) could unify and illuminate diverse fields of science and engineering. "This book contains papers presented at the conference "Applied Geometric Algebra in Computer Science and Engineering" (AGACSE 2001)…. Additionally, advanced graduate students interested in geometricĪlgebra will find the most current applications and methods discussed. Of useful applications in this state-of-the-art survey and referenceīook. Science, engineering, physics, and mathematics will find a wide range Practitioners, professionals, and researchers working in computer Particle entanglement, MRI, and relativistic generalizations * Chapters dedicated to quantum information theory dealing with multi. * Applications in physics include rigid-body dynamics, elasticity, and * Applications in engineering include robotics, image geometry,Ĭontrol-pose estimation, inverse kinematics and dynamics, control and * Applications in computational geometry include models of reflectionĪnd ray-tracing and a new and concise characterization of the
* The mathematical foundations of geometric algebra are explored Relevant ideas are introduced in a self-contained mannerĪnd only a knowledge of linear algebra and calculus is assumed. Written by experts in various fields, reflect an interdisciplinaryĪpproach to the subject, and highlight a range of techniques andĪpplications. Mathematical tool for solving problems in computer science,Įngineering, physics, and mathematics. Geometric algebra has established itself as a powerful and valuable