A Method for Watermarking to Bézier Polynomial Surface Models

Hiroshi Nagahashi, Rikima Mitsuhashi, Kenichi Morooka

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)


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-corner control points, which are called data points, and does not pass through the other control points. To embed a water-mark, a Bézier patch is divided into two patches. 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 subdivision parameters. The additional data points can not be removed without knowing some parameters for subdividing and deforming the patch, hence the patch subdivision enables us to embed a watermark into the surface.

ジャーナルIEICE Transactions on Information and Systems
出版ステータス出版済み - 1 1 2004

All Science Journal Classification (ASJC) codes

  • ソフトウェア
  • ハードウェアとアーキテクチャ
  • コンピュータ ビジョンおよびパターン認識
  • 電子工学および電気工学
  • 人工知能


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