[PDF][PDF] Modern developments in the theory and applications of moving frames

PJ Olver - London Math. Soc. Impact150 Stories, 2015 - www-users.cse.umn.edu
This article surveys recent advances in the equivariant approach to the method of moving
frames, concentrating on finite-dimensional Lie group actions. A sampling from the many …

The Cobb-Douglas Production Function and the Old Bowley's Law

RG Smirnov, K Wang - SIGMA. Symmetry, Integrability and Geometry …, 2024 - emis.de
Bowley's law, also referred to as the law of the constant wage share, was a noteworthy
empirical finding in economics, suggesting that a nation's wage share tended to remain …

Equi-affine differential invariants for invariant feature point detection

SL Tuznik, PJ Olver, A Tannenbaum - European Journal of Applied …, 2020 - cambridge.org
Image feature points are detected as pixels which locally maximise a detector function, two
commonly used examples of which are the (Euclidean) image gradient and the Harris …

Recursive moving frames for Lie pseudo-groups

PJ Olver, F Valiquette - Results in Mathematics, 2018 - Springer
This paper introduces a new, fully recursive algorithm for computing moving frames and
differential invariants of Lie pseudo-group actions. The recursive method avoids unwieldy …

Capturing information on curves and surfaces from their projected images

M Hasegawa, Y Kabata, K Saji - International Journal of …, 2020 - World Scientific
Obtaining complete information about the shape of an object by looking at it from a single
direction is impossible in general. In this paper, we theoretically study obtaining differential …

[PDF][PDF] The Outline Signature of a Convex Body

PJ Olver - preprint, University of Minnesota, 2022 - www-users.cse.umn.edu
The orthogonal projection of a closed, bounded, strictly convex body in three-dimensional
space onto a two-dimensional plane defines a closed strictly convex curve known as an …

[PDF][PDF] A Feature Extraction Algorithm of Affine Invariant based on Region Partition

C **ng, F Chen, Y Li - Rev. Téc. Ing. Univ. Zulia, 2016 - pdfs.semanticscholar.org
Extracting features is one of the core issues in pattern recognition, in which affine invariant is
important method to recognize object under complex environment. To solve the issues of the …

[PDF][PDF] Irina Kogan

T Series - 2020 - iakogan.math.ncsu.edu
Problem:[M. Berger, Geometry II, 1987)] Locate four points on each of the following
photograph, transfer them to a blank sheet of paper, and verify that the two sets of points …