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✦   LIBER   ✦

Affine Geometry, Curve Flows, and Invariant Numerical Approximations

✍ Scribed by Eugenio Calabi; Peter J. Olver; Allen Tannenbaum

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
913 KB
Volume
124
Category
Article
ISSN
0001-8708

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✦ Synopsis

A new geometric approach to the affine geometry of curves in the plane and to affine-invariant curve shortening is presented. We describe methods of approximating the affine curvature with discrete finite difference approximations, based on a general theory of approximating differential invariants of Lie group actions by joint invariants. Applications to computer vision are indicated.

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## Abstract A large‐eddy simulation (LES) study is undertaken to explore the complex flow of developing turbulent flow through stationary and rotating U‐ducts with strong curvature. Three flow cases are investigated: stationary (non‐rotating), positive and negative rotational cases. Stationary and