منابع مشابه
Moving frames
Although the ideas date back to the early nineteenth century (see [1; Chapter 5] for detailed historical remarks), the theory of moving frames (“repères mobiles”) is most closely associated with the name of Élie Cartan, [12], who molded it into a powerful and algorithmic tool for studying the geometric properties of submanifolds and their invariants under the action of a transformation group. I...
متن کاملMoving Frames and Moving Coframes
First introduced by Gaston Darboux, and then brought to maturity by Élie Cartan, [4], [5], the theory of moving frames (“repères mobiles”) is widely acknowledged to be a powerful tool for studying the geometric properties of submanifolds under the action of a transformation group. While the basic ideas of moving frames for classical group actions are now ubiquitous in differential geometry, the...
متن کاملRecursive Moving Frames
A recursive algorithm for the equivariant method of moving frames, for both finite-dimensional Lie group actions and Lie pseudo-groups, is developed and illustrated by several examples of interest. The recursive method enables one avoid unwieldy symbolic expressions that complicate the treatment of large scale applications of the equivariant moving frame method.
متن کاملLectures on Moving Frames
The goal of these lectures is to survey the equivariant method of moving frames developed by the author and a large number of collaborators and other researchers over the past fifteen years. A variety of applications in geometry, differential equations, computer vision, classical invariant theory, the calculus of variations, and numerical analysis are discussed. † Supported in part by NSF Grant...
متن کاملAn Introduction to Moving Frames
This paper surveys the new, algorithmic theory of moving frames. Applications in geometry, computer vision, classical invariant theory, and numerical analysis are indicated.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2003
ISSN: 0747-7171
DOI: 10.1016/s0747-7171(03)00092-0