Watermarking for Bézier Polynomial Surface Models

Kumiko Ikesako, Kenichi Morooka, Hiroshi Nagahashi

研究成果: Chapter in Book/Report/Conference proceedingConference contribution


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.

ホスト出版物のタイトルIASTED International Conference on Computer Graphics and Imaging
編集者M.H. Hamza, M.H. Hamza
出版ステータス出版済み - 12 1 2003
イベントSixth IASTED International Conference on Computer Graphics and Imaging - Honolulu, HI, 米国
継続期間: 8 13 20038 15 2003


その他Sixth IASTED International Conference on Computer Graphics and Imaging
CityHonolulu, HI

All Science Journal Classification (ASJC) codes

  • コンピュータ グラフィックスおよびコンピュータ支援設計


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