%0 Journal Article
%T Quantum Pairwise Symmetry: Applications in 2D Shape Analysis
%A Marcelo Cicconet
%A Davi Geiger
%A Michael Werman
%J Computer Science
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1502.00561v2