Corrigendum to в€œPersistent Betti numbers for a

Pattern Recognition Letters 34 (2013) 1320–1321
Contents lists available at SciVerse ScienceDirect
Pattern Recognition Letters
journal homepage: www.elsevier.com/locate/patrec
Corrigendum
Corrigendum to ‘‘Persistent Betti numbers for a noise tolerant shape-based
approach to image retrieval’’
Patrizio Frosini a,c,⇑, Claudia Landi b,c
a
Dipartimento di Matematica, Università di Bologna, Italy
DiSMI, Università di Modena e Reggio Emilia, Italy
c
ARCES, Università di Bologna, Italy
b
The authors would like to thank Marc Ethier for pointing out a mismatch between Table 1 and Fig. 3. The corrected version is given
below.
Table 1
The values taken by the 0th PBNs b(d ,u) of the octopus image of Fig. 1(a) at ((e, 100), (g, 80)), as e and g
K1
tend to 0, tend to the value bu|K ( 100, 80) = 8.
1
e
g
b(d ,u) ((e,
K1
0.5
0.5
0.5
0.5
0.3
0.1
24
16
1
0.65
0.45
0.25
1
3
8
8
8
8
DOI of original article: http://dx.doi.org/10.1016/j.patrec.2012.10.015
⇑ Corresponding author at: DiSMI, Università di Modena e Reggio Emilia, Italy.
E-mail addresses: [email protected] (P. Frosini), [email protected], [email protected] (C. Landi).
0167-8655/$ - see front matter Ó 2013 Elsevier B.V. All rights reserved.
http://dx.doi.org/10.1016/j.patrec.2013.04.001
100), (g,
80))
1321
P. Frosini, C. Landi / Pattern Recognition Letters 34 (2013) 1320–1321
ε = 0.5,
0 , η = 16
ε = 0..5, η = 24
2
−35
−40
40
−4
−45
45
−4
−50
50
−5
−55
55
−5
−60
60
−6
−65
65
−6
−70
70
−7
−75
75
−7
−7
75
−70
−65
-60
−55
−50
−45
−
−40
−3
35
−75
−70
0
−65
−
−60
0 , η= 1
ε = 0.5,
−5
55
−50
−45
5
−40
−
ε = 0. 5, η = 0.65
0 5
60
−6
−60
80
−8
−70
−80
00
−10
−90
20
−12
−100
40
−14
−110
−120
60
−16
−120
−110
−100
−9
90
−80
−
−70
−160
0
−60
−140
ε = 0.3
3, η = 0..455
−120
−100
−80
−60
ε = 0. 1, η = 0.25
0 5
−60
60
−6
−70
70
−7
−80
−90
80
−8
−100
90
−9
−110
00
−10
−120
−130
−110
−140
20
−12
−150
−
2 −1
110 −
−100
−150
−140 −13 0 −1 20
−90
−80
−7 0
60
−6
−12
20
−110
−100
−90
0
−80
−
−70
−60
Fig. 3. The 0th PBNs b(d ,u) of the octopus image of Fig. 1(a) as e and g tend to 0, restricted to an appropriate 2-dimensional slice of D+. Red circles and red lines denote the
K1
points (proper or at inﬁnity) of the corresponding persistence diagram. The blue diamond denotes the point corresponding to ((e, 100), (g, 80)). (For interpretation of the
references to colour in this ﬁgure legend, the reader is referred to the web version of this article.)

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