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papers.bib
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@article{chisolm2012geometric,
title={Geometric algebra},
author={Chisolm, Eric},
journal={arXiv preprint arXiv:1205.5935},
year={2012},
url={http://arxiv.org/abs/1205.5935}
}
@Misc{hestenes1988UGA,
author = {Hestenes, David},
year = {1988},
month = {01},
title = {UNIVERSAL GEOMETRIC ALGEBRA},
url = {http://geocalc.clas.asu.edu/pdf/UGA.pdf}
}
@article{macdonald2017survey,
title={A survey of geometric algebra and geometric calculus},
author={Macdonald, Alan},
journal={Advances in Applied Clifford Algebras},
volume={27},
number={1},
pages={853--891},
year={2017},
publisher={Springer},
url = {http://www.faculty.luther.edu/~macdonal/GA&GC.pdf}
}
@article{easter2015g8,
title={G8, 2 Geometric Algebra, DCGA},
author={Easter, Robert Benjamin},
journal={viXra. org},
year={2015},
publisher={Citeseer},
url = {https://vixra.org/abs/1508.0086}
}
@phdthesis{gebken2009conformal,
title={Conformal geometric algebra in stochastic optimization problems of 3D-vision applications},
author={Gebken, Christian},
year={2009},
school={Kiel University},
url = {https://d-nb.info/1019870109/34}
}
@article{chappell2011geometric,
title={Geometric algebra: A natural representation of three-space},
author={Chappell, James M and Iqbal, Azhar and Abbott, Derek},
journal={arXiv preprint arXiv:1101.3619},
year={2011},
url={http://arxiv.org/abs/1101.3619}
}
@incollection{sobczyk1992simplicial,
title={Simplicial calculus with geometric algebra},
author={Sobczyk, GE},
booktitle={Clifford Algebras and their Applications in Mathematical Physics},
pages={279--292},
year={1992},
publisher={Springer},
url = {http://geocalc.clas.asu.edu/pdf-preAdobe8/SIMP_CAL.pdf}
}
@article{yu2016geometric,
title={Geometric algebra model for geometry-oriented topological relation computation},
author={Yu, Zhaoyuan and Luo, Wen and Yuan, Linwang and Hu, Yong and Zhu, A-xing and L{\"u}, Guonian},
journal={Transactions in GIS},
volume={20},
number={2},
pages={259--279},
year={2016},
publisher={Wiley Online Library},
url = {https://solim.geography.wisc.edu/axing/publication/128_tgis12154online.pdf}
}
@article{hitzer2002multivector,
title={Multivector differential calculus},
author={Hitzer, Eckhard MS},
journal={Advances in Applied Clifford Algebras},
volume={12},
number={2},
pages={135--182},
year={2002},
publisher={Springer},
url = {https://arxiv.org/abs/1306.2278}
}
@article{ramirez2018vectors,
title={From Vectors to Geometric Algebra},
author={Ramirez, Sergio Ramos and Gonz{\'a}lez, Jos{\'e} Alfonso Ju{\'a}rez and Sobczyk, Garret},
journal={arXiv preprint arXiv:1802.08153},
year={2018},
url = {https://arxiv.org/abs/1802.08153}
}
@incollection{dorst2002inner,
title={The inner products of geometric algebra},
author={Dorst, Leo},
booktitle={Applications of Geometric Algebra in Computer Science and Engineering},
pages={35--46},
year={2002},
publisher={Springer},
url = {https://link.springer.com/chapter/10.1007/978-1-4612-0089-5_2}
}
@article{eid2017introducing,
title={Introducing Geometric Algebra to Geometric Computing Software Developers: A Computational Thinking Approach},
author={Eid, Ahmad Hosny},
journal={arXiv preprint arXiv:1705.06668},
year={2017},
url = {https://arxiv.org/abs/1705.06668}
}
@article{bromborsky2010introduction,
title={An introduction to geometric algebra and calculus},
author={Bromborsky, Alan},
year={2010},
journal={Github},
url = {https://github.com/pygae/galgebra/blob/master/doc/books/bookGA.pdf}
}
@phdthesis{breuils2018algorithmic,
title={Algorithmic structure for geometric algebra operators and application to quadric surfaces},
author={Breuils, Stéphane},
year={2018},
school={National Institute of Informatics},
url = {https://pastel.archives-ouvertes.fr/tel-02085820/file/TH2018PESC1142.pdf}
}
@article{eid2018extended,
title={An extended implementation framework for geometric algebra operations on systems of coordinate frames of arbitrary signature},
author={Eid, Ahmad Hosny},
journal={Advances in Applied Clifford Algebras},
volume={28},
number={1},
pages={16},
year={2018},
publisher={Springer},
url = {https://link.springer.com/article/10.1007/s00006-018-0827-1}
}