Benchmarking results on the Venus model

The reference of Cho's method:

J.-W. Cho, R. Prost, and H.-Y. Jung, "An oblivious watermarking for 3D polygonal meshes using distribution of vertex norms," IEEE Trans. on Signal Process., vol. 55, no. 1, pp. 142–155, 2007.

The reference of Wang's method:

K. Wang, G. Lavoué, F. Denis, and A. Baskurt, "Robust and blind watermarking of polygonal meshes based on volume moments," Tech. Rep., LIRIS Laboratory - M2DisCo Team, 2009, available at http://liris.cnrs.fr/Documents/Liris-3713.pdf.


In the following tables, all the results are the averages of 5 trials with randomly selected watermark sequences and keys.


Table 1. Baseline evaluation results of the methods.

Protocol

Perceptual

Geometric

Method

Cho's

Wang's

Cho's

Wang's

WM capacity (bits)

64

64

64

64

Embedding time (s)

7.6

439.9

11.6

377.6

Extraction time (s)

<1.0

3.3

<1.0

3.5

d_{MRMS} (w.r.t. l_{bbd})

0.0080%

0.069%

0.012%

0.018%

d_{MSDM}

0.19

0.14

0.29

0.09


Table 2. Robustness comparison between the methods.

Protocol →

Perceptual

Geometric

Attack ↓

Cho's

BER

Wang's

BER

Cho's

BER

Wang's

BER

File attack

0

0

0

0

Similarity transformation

0

0

0

0

Noise A=0.05%

Noise A=0.10%

Noise A=0.30%

Noise A=0.50%

0.01

0.03

0.13

0.28

0

0.01

0.08

0.16

0

0.01

0.10

0.24

0.02

0.15

0.29

0.40

Smoothing N_{itr}=5

Smoothing N_{itr}=10

Smoothing N_{itr}=30

Smoothing N_{itr}=50

0.10

0.23

0.38

0.45

0

0.01

0.07

0.14

0.06

0.16

0.34

0.42

0.06

0.18

0.39

0.51

Quantization R=11

Quantization R=10

Quantization R=9

Quantization R=8

Quantization R=7

0

0.04

0.14

0.26

0.46

0

0.01

0.01

0.05

0.17

0

0.02

0.06

0.18

0.41

0.01

0.17

0.27

0.39

0.53

Average geometry attacks

0.18

0.05

0.14

0.24

Subdivision Midpoint

Subdivision Sqrt3

Subdivision Loop

0.04

0.14

0.16

0

0

0

0.02

0.09

0.09

0

0.01

0.01

Simplification E_{sim}=10%

Simplification E_{sim}=30%

Simplification E_{sim}=50%

Simplification E_{sim}=70%

Simplification E_{sim}=90%

Simplification E_{sim}=95%

Simplification E_{sim}=97.5%

0.01

0.05

0.18

0.33

0.23

0.38

0.47

0

0

0

0

0.01

0.01

0.05

0

0.03

0.07

0.14

0.12

0.27

0.42

0

0

0.02

0.02

0.08

0.17

0.32

Cropping V_{cr}=10%

Cropping V_{cr}=30%

Cropping V_{cr}=50%

0.50

0.53

0.51

0.51

0.49

0.49

0.50

0.51

0.52

0.51

0.48

0.49

Average connectivity attacks

0.27

0.12

0.21

0.16

Average all attacks

0.22

0.08

0.17

0.19



Last updated: Match 16, 2010