scholarly journals Applications of Conformal Geometric Algebra in Computer Vision and Graphics

2005 ◽  
pp. 329-349 ◽  
Author(s):  
Rich Wareham ◽  
Jonathan Cameron ◽  
Joan Lasenby
Keyword(s):  
Computer Vision ◽  
Geometric Algebra ◽  
Conformal Geometric Algebra

Geometric algebra of points, lines, planes and spheres for computer vision and robotics

Robotica ◽  
2005 ◽  
Vol 23 (6) ◽  
pp. 755-770 ◽  
Author(s):  
Eduardo Bayro-Corrochano ◽  
Luis Eduardo Falcón
Keyword(s):  
Computer Vision ◽  
Projective Geometry ◽  
Geometric Algebra ◽  
Conformal Geometric Algebra ◽  
Conformal Transformations ◽  
Computational Burden ◽  
And Robotics

This paper introduces conformal geometric algebra (CGA) for applications in computer vision and robotics. The authors show that CGA deals with our intuition and insight of the geometry and it helps us to reduce considerably the computational burden of the problems. The CGA can be applied not only to describe the geometry of the space, but to handle the algebra of incidence, as well as conformal transformations, to deal with kinematics or projective geometry problems. The authors show with real and simulated applications that this system can be of great advantage in robotics and computer vision.

Foundations for Strip Adjustment of Airborne Laserscanning Data with Conformal Geometric Algebra

2021 ◽  
Vol 32 (1) ◽  
Author(s):  
Eckhard Hitzer ◽  
Werner Benger ◽  
Manfred Niederwieser ◽  
Ramona Baran ◽  
Frank Steinbacher
Keyword(s):  
Geometric Algebra ◽  
Conformal Geometric Algebra

Real-time rendering under distant illumination with conformal geometric algebra

2017 ◽  
Vol 41 (11) ◽  
pp. 4131-4147 ◽  
Author(s):  
Margarita Papaefthymiou ◽  
George Papagiannakis
Keyword(s):  
Real Time ◽  
Geometric Algebra ◽  
Conformal Geometric Algebra

Feature preserving multiresolution subdivision and simplification of point clouds: A conformal geometric algebra approach

2017 ◽  
Vol 41 (11) ◽  
pp. 4074-4087 ◽  
Author(s):  
Shuai Yuan ◽  
Shuai Zhu ◽  
Dong-Shuang Li ◽  
Wen Luo ◽  
Zhao-Yuan Yu ◽  
...  
Keyword(s):  
Geometric Algebra ◽  
Point Clouds ◽  
Conformal Geometric Algebra ◽  
Algebra Approach ◽  
Feature Preserving

Robust Pose Control of Robot Manipulators Using Conformal Geometric Algebra

2014 ◽  
Vol 24 (2) ◽  
pp. 533-552 ◽  
Author(s):  
L. González-Jiménez ◽  
O. Carbajal-Espinosa ◽  
A. Loukianov ◽  
E. Bayro-Corrochano
Keyword(s):  
Geometric Algebra ◽  
Robot Manipulators ◽  
Conformal Geometric Algebra ◽  
Pose Control
Sign in / Sign up

Export Citation Format

Share Document