Numerically Invariant Signature Curves

03/18/1999
by   Mireille Boutin, et al.
0

Corrected versions of the numerically invariant expressions for the affine and Euclidean signature of a planar curve proposed by E.Calabi et. al are presented. The new formulas are valid for fine but otherwise arbitrary partitions of the curve. We also give numerically invariant expressions for the four differential invariants parametrizing the three dimensional version of the Euclidean signature curve, namely the curvature, the torsion and their derivatives with respect to arc length.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/12/2008

Classification of curves in 2D and 3D via affine integral signatures

We propose a robust classification algorithm for curves in 2D and 3D, un...
research
01/24/2022

Euclidean and Affine Curve Reconstruction

We consider practical aspects of reconstructing planar curves with presc...
research
09/05/2020

Area-Invariant Pedal-Like Curves Derived from the Ellipse

We study six pedal-like curves associated with the ellipse which are are...
research
08/31/2019

Homotopic curve shortening and the affine curve-shortening flow

We define and study a discrete process that generalizes the convex-layer...
research
11/13/2019

Image Differential Invariants

Inspired by the methods of systematic derivation of image moment invaria...
research
02/03/2021

Length Learning for Planar Euclidean Curves

In this work, we used deep neural networks (DNNs) to solve a fundamental...
research
10/24/2021

Numerical reparametrization of periodic planar curves via curvature interpolation

A novel static algorithm is proposed for numerical reparametrization of ...

Please sign up or login with your details

Forgot password? Click here to reset