FACET 发表于 2025-3-25 05:10:32
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neer ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanLEVER 发表于 2025-3-25 12:33:52
Industrial Practices and Needs,rate on highlights here, although with a slightly different formulation that I find more convenient for applications. Also, I can assume that this audience is familiar with Geometric Algebra, so we can proceed rapidly without belaboring the basics.Exclaim 发表于 2025-3-25 17:10:26
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Old Wine in New Bottles: A New Algebraic Framework for Computational Geometryrate on highlights here, although with a slightly different formulation that I find more convenient for applications. Also, I can assume that this audience is familiar with Geometric Algebra, so we can proceed rapidly without belaboring the basics.向前变椭圆 发表于 2025-3-26 03:08:06
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http://reply.papertrans.cn/39/3835/383442/383442_27.png意见一致 发表于 2025-3-26 09:43:57
http://reply.papertrans.cn/39/3835/383442/383442_28.pngdebase 发表于 2025-3-26 15:18:40
Universal Geometric Algebraequire as little as possible changes to the main body of mathematics as we know it today. As has been often repeated by Hestenes and others, geometric algebra should be seen as a great unifier of the geometric ideas of mathematics.Aerate 发表于 2025-3-26 18:49:09
Bayesian Inference and Geometric Algebra: An Application to Camera Localization. Rotors have a number of useful features. They can be easily parameterised in terms of the bivector representing the plane of rotation. Their product is a very efficient way of computing the effect of compound rotations, and is numerically very stable.