Mansfield, E.L. and Zhao, J. (2011) On the modern notion of a moving frame. In: Dorst, Leo and Lasenby, Joan, eds. Guide to Geometric Algebra in Practice. Springer, London, pp. 411-434. ISBN 9780857298102.
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A tutorial on the modern definition and application of moving frames, with a variety of examples and exercises, is given. We show three types of invariants; differential, joint, and integral, and the running example is the linear action of $SL(2)$ on smooth surfaces, on sets of points in the plane, and path integrals over curves in the plane. We also give details of moving frames for the group of rotations and translations acting on smooth curves, and on discrete sets of points, in the conformal geometric algebra.
|Item Type:||Book section|
|Subjects:||Q Science > QA Mathematics (inc Computing science) > QA440 Geometry|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics|
|Depositing User:||Elizabeth L Mansfield|
|Date Deposited:||15 Oct 2012 09:06|
|Last Modified:||01 Mar 2013 12:08|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/31675 (The current URI for this page, for reference purposes)|
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