Tangent Space Representation and Similarity Measure

The process of recognition is based on comparison of two shapes. An unknown shape must be compared to a set of known shapes in a database, and determine how similar they each is. Arkin et al [3] proposed a polygonal contour similarity measure that is:

  1. a metric;
  2. invariant under translation, rotation, and change of scale;
  3. easy to compute.

Basically we take a polygon such as:

And represent it in a much more useful form:

If you want to see the math behind this, and how the comparison process actually works,

check it out here.