Quantum Pairwise Symmetry: Applications in 2D Shape Analysis
arXiv:1502.00561
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.
The paper has been withdrawn since the authors concluded a more comprehensive study on the choice of parameters needs to be performed