Quantum Pairwise Symmetry: Applications in 2D Shape Analysis
Computer Vision and Pattern Recognition
2015-02-10 v2
Abstract
A pair of rooted tangents -- defining a quantum triangle -- with an associated quantum wave of spin 1/2 is proposed as the primitive to represent and compute symmetry. Measures of the spin characterize how "isosceles" or how "degenerate" these triangles are -- which corresponds to their mirror or parallel symmetry. We also introduce a complex-valued kernel to model probability errors in the parameter space, which is more robust to noise and clutter than the classical model.
Cite
@article{arxiv.1502.00561,
title = {Quantum Pairwise Symmetry: Applications in 2D Shape Analysis},
author = {Marcelo Cicconet and Davi Geiger and Michael Werman},
journal= {arXiv preprint arXiv:1502.00561},
year = {2015}
}
Comments
The paper has been withdrawn since the authors concluded a more comprehensive study on the choice of parameters needs to be performed