Oriented projective geometry
New Geometric Methods for Computer Vision: An Application toStructure and Motion Estimation
International Journal of Computer Vision
The Ambient Spaces of Computer Graphics and Geometric Modeling
IEEE Computer Graphics and Applications
Geometric Algebra: A Computational Framework for Geometrical Applications (Part 2)
IEEE Computer Graphics and Applications
Linear combination of transformations
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Geometric Algebra: A Computational Framework for Geometrical Applications (Part 2)
IEEE Computer Graphics and Applications
Modeling 3D Euclidean Geometry
IEEE Computer Graphics and Applications
Deriving Linear Transformations in Three Dimensions
IEEE Computer Graphics and Applications
Computer Graphics in its Fifth Decade: Ferment at the Foundations
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Deriving Linear Transformations in 3D Using Quaternion Algebra
IEEE Computer Graphics and Applications
Using Geometric Algebra for 3D Linear Transformations
Computing in Science and Engineering
An embedded, FPGA-based computer graphics coprocessor with native geometric algebra support
Integration, the VLSI Journal
Geometric Algebra for Computer Science: An Object-Oriented Approach to Geometry
Geometric Algebra for Computer Science: An Object-Oriented Approach to Geometry
Tutorial: Geometric computing in computer graphics using conformal geometric algebra
Computers and Graphics
Applications of conformal geometric algebra in computer vision and graphics
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
Target calibration and tracking using conformal geometric algebra
PSIVT'06 Proceedings of the First Pacific Rim conference on Advances in Image and Video Technology
Hi-index | 0.00 |
Geometric algebra is a consistent computational framework in which to define geometric primitives and their relationships. This algebraic approach contains all geometric operators and permits coordinate-free specification of computational constructions. It contains primitives of any dimensionality (rather than just vectors). This second paper on the subject uses the basic products to represent rotations (naturally incorporating quaternions), intersections, and differentiation. It shows how using well-chosen geometric algebra models, we can eliminate special cases in incidence relationships, yet still have the efficiency of the Plucker coordinate intersection computations.