2014•AIP conference proceedingsRequires access

Integral invariants for curves in 2D with respect to projective groups

Nasereh Azhir, Jamaludin Md. Ali

Abstract

This work presents invariants for planar curves with respect to the projective groups. Novel integral potentials for 2D curves are used to derive these invariants under the action of projective group with six degrees of freedom, based on Cartan’s theory of moving frame. Examples are given to support the work.

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Available abstract

Key concepts: Projective test, Mathematics, Pure mathematics, Group (periodic table), Action (physics), Algebra over a field, Frame (networking), Planar