An examination is made of methods of measuring the lengths of arbitrarily shaped smooth curves from their quantized representations, both in the absence and in the presence of noise. For 4-way encoded curves in the absence of noise, the length of the underlying smooth curve can be accurately assessed as nπ/4 where n is the number of direction vectors in the curve, or as a function of n and the number of corners in the curve. Good measurements can also be obtained in the presence or absence of noise by means of an m-step polygon measure, or after direction or curvature smoothing. The methods are explained and their merits are compared.
All Science Journal Classification (ASJC) codes
- Environmental Science(all)
- Earth and Planetary Sciences(all)