# Using Geometric Algebra for Navigation in Riemannian and Hard Disc Space

@inproceedings{Benger2009UsingGA, title={Using Geometric Algebra for Navigation in Riemannian and Hard Disc Space}, author={Werner Benger and George Ritter}, year={2009} }

A “vector” in 3D computer graphics is commonly understood as a triplet of three floating point numbers, eventually equipped with a set of functions operating on them. This hides the fact that there are actually different kinds of vectors, each of them with different algebraic properties and consequently different sets of functions. Differential Geometry (DG) and Geometric Algebra (GA) are the appropriate mathematical theories to describe these different types of “vectors”. They consistently…

## 7 Citations

Garamon: A Geometric Algebra Library Generator

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This paper presents both a recursive scheme to perform Geometric Algebra operations over a prefix tree, and Garamon, a C++ library generator implementing these recursive operations, designed to produce easy to install, easy to use, effective and numerically stable libraries.

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GVAlgorithms Expression Templates enables the implementation of Geometric Algebra in an elegant and concise way in the programming language C++ by using expression templates techniques and accomplishing grading operations at compile time.

Supporting computational data model representation with high-performance I/O in parallel netCDF

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This paper presents a new storage scheme in Parallel netCDF to represent a broad variety of data models used in modern computational scientific applications and demonstrates the proposed scheme can produce scalable performance results for both data and metadata creation and access.

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- Computer Science2010 IEEE International Conference On Cluster Computing Workshops and Posters (CLUSTER WORKSHOPS)
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The H5hut library is presented, an implementation of several data models for particle-based simulations that encapsulates the complexity of HDF5 and is simple to use, yet does not compromise performance.

Glyphs for Space-Time Jacobians of Time-Dependent Vector Fields

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This work uses non-linear inter-patient registration to warp one personalized 4D motion field model to new 3D patient data, a costand dose-saving new method for keyframe-based motion modeling.

Proceedings of the 6th High-End Visualization Workshop, Obergurgl, Tyrol, Austria, December 8-12, 2010

- Computer ScienceHigh-End Visualization Workshop
- 2010

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