Watermarking for Bézier Polynomial Surface Models

Kumiko Ikesako, Kenichi Morooka, Hiroshi Nagahashi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a new method for embedding digital watermarks into Bézier polynomial patches. An object surface is supposed to be represented by multiple piecewise Bézier polynomial patches. A Bézier patch passes through its four-comer control points, which are called data points, and does not pass through the other control points. To embed a watermark, a Bézier patch is divided into two patches by PPM(Piecewise Parametric Modeling) method proposed in [4]. Since each subdivided patch shares two data points of the original patch, the subdivision apparently generates two additional data points on the boundaries of the original patch. We can generate the new data points in any position on the boundaries by changing the division parameters in the PPM. However, the additional data points can be removed if some parameters for subdividing the patch have been known. In order to improve the tolerance against such attack, we deform the boundary curve of subdivided patches. As a result, the others can not either perceive the deformation, nor delete the watermarking.

Original languageEnglish
Title of host publicationIASTED International Conference on Computer Graphics and Imaging
EditorsM.H. Hamza, M.H. Hamza
Pages193-199
Number of pages7
Publication statusPublished - Dec 1 2003
Externally publishedYes
EventSixth IASTED International Conference on Computer Graphics and Imaging - Honolulu, HI, United States
Duration: Aug 13 2003Aug 15 2003

Other

OtherSixth IASTED International Conference on Computer Graphics and Imaging
CountryUnited States
CityHonolulu, HI
Period8/13/038/15/03

Fingerprint

Watermarking
Polynomials

All Science Journal Classification (ASJC) codes

  • Computer Graphics and Computer-Aided Design

Cite this

Ikesako, K., Morooka, K., & Nagahashi, H. (2003). Watermarking for Bézier Polynomial Surface Models. In M. H. Hamza, & M. H. Hamza (Eds.), IASTED International Conference on Computer Graphics and Imaging (pp. 193-199)

Watermarking for Bézier Polynomial Surface Models. / Ikesako, Kumiko; Morooka, Kenichi; Nagahashi, Hiroshi.

IASTED International Conference on Computer Graphics and Imaging. ed. / M.H. Hamza; M.H. Hamza. 2003. p. 193-199.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ikesako, K, Morooka, K & Nagahashi, H 2003, Watermarking for Bézier Polynomial Surface Models. in MH Hamza & MH Hamza (eds), IASTED International Conference on Computer Graphics and Imaging. pp. 193-199, Sixth IASTED International Conference on Computer Graphics and Imaging, Honolulu, HI, United States, 8/13/03.
Ikesako K, Morooka K, Nagahashi H. Watermarking for Bézier Polynomial Surface Models. In Hamza MH, Hamza MH, editors, IASTED International Conference on Computer Graphics and Imaging. 2003. p. 193-199
Ikesako, Kumiko ; Morooka, Kenichi ; Nagahashi, Hiroshi. / Watermarking for Bézier Polynomial Surface Models. IASTED International Conference on Computer Graphics and Imaging. editor / M.H. Hamza ; M.H. Hamza. 2003. pp. 193-199
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