Erratum to: Reversible watermarking for 2D vector maps based on normalized vertices

Erratum to: Multimed Tools Appl

DOI: 10.1007/s11042-016-3970-5

The author regrets that the original version of this article contain four errors. The author did not consider the first vertex and the last vertex of each polygon/polyline during the experiments, the results of proposed method in Table 2, the last column of Tables 7 and 8, and Fig. 5 was wrong. The author, therefore, has corrected errors as follows.

Table 2 The Maxd and d values between the original vector maps and the recovered ones

Table 7 Invisibility of different methods (m)

Table 8 Capacity of different methods (bpv)

Fig. 5

Relationship between average embedding distortion d and b

The author would like to apologize for any inconvenience caused.

• 1. The Maxd and d values of the proposed method in Table 2

• 2. The d values the proposed method in Table 7

• 3. The capacity the proposed method in Table 8

• 4. The Fig. 5