2006 | OriginalPaper | Buchkapitel
Algorithms on Extended (δ, γ)-Matching
verfasst von : Inbok Lee, Raphaël Clifford, Sung-Ryul Kim
Erschienen in: Computational Science and Its Applications - ICCSA 2006
Verlag: Springer Berlin Heidelberg
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Approximate pattern matching plays an important role in various applications, such as bioinformatics, computer-aided music analysis and computer vision. We focus on (
δ
,
γ
)-matching. Given a text
T
of length
n
, a pattern
P
of length
m
,and two parameters
δ
and
γ
, the aim is to find all the substring
T
[
i
,
i
+
m
–1] such that (a) ∀ 1 ≤
j
≤
m
, |
T
[
i
+
j
–1] –
P
[
j
]| ≤
δ
(
δ
-matching) , and (b) ∑
1 ≤ j ≤ m
|
T
[
i
+
j
–1] –
P
[
j
]| ≤
γ
(
γ
-matching). In this paper we consider three variations of (
δ
,
γ
)-matching:
amplified matching
,
transposition-invariant matching
, and
amplified transposition-invariant matching
. For each problem we propose a simple and efficient algorithm which is easy to implement.