2011

Guide to Geometric Algebra in Practice

Editors:

ISBN: 978-0-85729-810-2 (Print) 978-0-85729-811-9 (Online)

Table of contents (21 chapters)

previous Page of 2
  1. Front Matter

    Pages I-XVII

  2. Rigid Body Motion

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-24

      Rigid Body Dynamics and Conformal Geometric Algebra

    3. No Access

      Book Chapter

      Pages 25-45

      Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra

    4. No Access

      Book Chapter

      Pages 47-62

      Inverse Kinematics Solutions Using Conformal Geometric Algebra

    5. No Access

      Book Chapter

      Pages 63-78

      Reconstructing Rotations and Rigid Body Motions from Exact Point Correspondences Through Reflections

  3. Interpolation and Tracking

    1. Front Matter

      Pages 79-79

    2. No Access

      Book Chapter

      Pages 81-104

      Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition

    3. No Access

      Book Chapter

      Pages 105-125

      Attitude and Position Tracking

    4. No Access

      Book Chapter

      Pages 127-148

      Calibration of Target Positions Using Conformal Geometric Algebra

  4. Image Processing

    1. Front Matter

      Pages 149-149

    2. No Access

      Book Chapter

      Pages 151-173

      Quaternion Atomic Function for Image Processing

    3. No Access

      Book Chapter

      Pages 175-191

      Color Object Recognition Based on a Clifford Fourier Transform

  5. Theorem Proving and Combinatorics

    1. Front Matter

      Pages 193-193

    2. No Access

      Book Chapter

      Pages 195-215

      On Geometric Theorem Proving with Null Geometric Algebra

    3. No Access

      Book Chapter

      Pages 217-232

      On the Use of Conformal Geometric Algebra in Geometric Constraint Solving

    4. No Access

      Book Chapter

      Pages 233-249

      On the Complexity of Cycle Enumeration for Simple Graphs

  6. Applications of Line Geometry

    1. Front Matter

      Pages 251-251

    2. No Access

      Book Chapter

      Pages 253-272

      Line Geometry in Terms of the Null Geometric Algebra over ℝ3,3, and Application to the Inverse Singularity Analysis of Generalized Stewart Platforms

    3. No Access

      Book Chapter

      Pages 273-294

      A Framework for n-Dimensional Visibility Computations

  7. Alternatives to Conformal Geometric Algebra

    1. Front Matter

      Pages 295-295

    2. No Access

      Book Chapter

      Pages 297-327

      On the Homogeneous Model of Euclidean Geometry

    3. No Access

      Book Chapter

      Pages 329-352

      A Homogeneous Model for Three-Dimensional Computer Graphics Based on the Clifford Algebra for ℝ3

    4. No Access

      Book Chapter

      Pages 353-369

      Rigid-Body Transforms Using Symbolic Infinitesimals

    5. No Access

      Book Chapter

      Pages 371-389

      Rigid Body Dynamics in a Constant Curvature Space and the ‘1D-up’ Approach to Conformal Geometric Algebra

  8. Towards Coordinate-Free Differential Geometry

    1. Front Matter

      Pages 391-391

    2. No Access

      Book Chapter

      Pages 393-410

      The Shape of Differential Geometry in Geometric Calculus

    3. No Access

      Book Chapter

      Pages 411-434

      On the Modern Notion of a Moving Frame

  9. Back Matter

    Pages 455-458

previous Page of 2