2004
@article{ToH2004,
vgclass = {refpap},
author = {Andrea Torsello and Edwin R. Hancock},
title = {A skeletal measure of {2D} shape similarity},
journal = {Computer Vision and Image Understanding},
volume = {95},
number = {1},
pages = {1--29},
month = {July},
year = {2004},
url = {http://dx.doi.org/10.1016/j.cviu.2004.03.006},
abstract = {This paper presents a geometric measure that can be used
to gauge the similarity of 2D shapes by comparing their skeletons. The
measure is defined to be the rate of change of boundary length with
distance along the skeleton. We demonstrate that this measure varies
continuously when the shape undergoes deformations. Moreover, we show
that ligatures are associated with low values of the shape-measure. The
measure provides a natural way of overcoming a number of problems
associated with the structural representation of skeletons. The first
of these is that it allows us to distinguish between perceptually
distinct shapes whose skeletons are ambiguous. Second, it allows us to
distinguish between the main skeletal structure and its ligatures,
which may be the result of local shape irregularities or noise. We
illustrate how the new shape-measure can be used for the purposes of
clustering shock-trees of the same shape class.},
}