OVERVIEW

DIFFERENTIATION

REPRODUCTION

M-SCALE RELATION

CONVOLUTION

HIGHER ORDER DIFFERENTIATION

PARAMETRIC SHAPE REPRESENTATION

A parametric curve is defined by:
**x**(t) is the two dimensional function, x(t) and y(t) define the position on either axis. In this case, they are defines as one dimensional spline models:

c_{x}[k] and c_{y}[k] are the x and y coordinates of some points, that define the shape. The shape is approximated with splines of arbitrary degree. Degree 1 directly connects the points, higher degrees lead to