Finite Representations of Deformable Functions

TitleFinite Representations of Deformable Functions
Publication TypeTechnical Report
Year of Publication1990
AuthorsPerona, P.
Other Numbers598

Starting from a `template' function F(x) and composing it with a family of transformations T subscript 0 (e.g., rotations, scalings) of its domain one obtains a family of `deformations' of F, F0T(x) spanning an n-dimensional space; n is in general infinite. A technique is presented that allows (1) to compute the best approximation of a given family using linear combinations of a finite number of `basis' functions; (2) to characterize those functions F generating finite-dimensional families. The technique applies to all cases where T subscript 0 belongs to a compact group of transformations. The results presented here have applications in early vision and signal processing for the computation of filters in a continuum of orientations and scales.

Bibliographic Notes

ICSI Technical Report TR-90-034

Abbreviated Authors

P. Perona

ICSI Publication Type

Technical Report