Feature migration in morphological scale space

A novel morphological operator for scale space evaluation is introduced. The operator (X/sub B/)/sup B/ is less prone to object shrinkage and signal spreading than the Gaussian approach, and it treats similarly the intrusions and protrusions of the original image. Zero crossing migration with respect to this operation for various types of signal is derived. In order to track events efficiently from scale to scale, it is necessary to understand how the zero crossings of a signal migrate with the scale factor. It is shown that equations can be produced to describe this movement for specific special cases, such as ramp and edges. The new theoretical results can be used to make feature tracking with nonlinear techniques more efficient.<>