Two dimensional parameterized matching

Abstract

Two equal length strings, or two equal sized two dimensional texts, parameterize match (p-match) if there is a one-one mapping (relative to the alphabet) of their characters. Two dimensional parameterized matching is the task of finding all m × m substrings of an n × n text that p-match to an m × m pattern. This models, for example, searching for color images with changing of color maps. We present an algorithm that solves the two dimensional parameterized matching problem in O(n2 + m2.5 · polylog(m)) time. © Springer-Verlag Berlin Heidelberg 2005.