A Field Theory of Pattern Identification Using the Concept of Gauge Fields

摘要

A field theory for geometrical pattern identifi- cation is developed based on the postulate that various modi- fied patterns are identified via invariant characteristics of pattern transformations. The invariant characteristics of geometrical pat- terns are written as he functional of the light intensity distr- bution of pattern, its spatial gradient, and also its spatial cur- vature. Some definite expressions of the invariant characteristic functional for two dimensional linear transformation are derived, and their invariant and feature extracting property are examined numerically.