Skip to main content

A Display Algorithm of Brush Strokes Using Bézier Functions

  • Conference paper

Part of the CGS CG International Series book series (3056)

Abstract

Graphics editors have recently come into wide use. But for displaying high quality images, a more powerful tool has been desired. This paper proposes a useful display method for Chinese calligraphy, traditional Japanese ink painting called sumie, and watercolor painting. The method comprises techniques to express the outlines of a brush stroke and to vary shades of color. That is, the outlines of a brush stroke are modeled using piecewise Bézier curves, and the variation of gray shade inside of the outline are defined by Bézier functions. This method provides effective characteristics of a brush stroke such as shade variation, the scratchin ess produced by dry brush, and blotchiness caused by the diffusion of ink.

Keywords

  • Outline fonts
  • Bézier curves
  • Brush strokes
  • Chinese calligraphy
  • Scan conversion

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chua, Y.S., “Bézier Brushstrokes,” CAD, Vol.22, No.9 (1990), pp.550–555.

    MATH  Google Scholar 

  2. Farrin, G., “Curves and Surfaces for Computer Aided Geometric Design,” Academic Press Inc., (1988), p.25–31.

    Google Scholar 

  3. Gardner, G.W., “Visual Simulation of Clouds,” Computer Graphics, Vol.19, No.4, (1985), pp.229–303.

    Google Scholar 

  4. Guo, Q., Kunii, T., “Modeling the Diffuse Painting of ‘Sumie’,” Modeling in Computer Graphics (Proc. of the IFIP WG5.10), Springer-Verlag (1991), pp.329–338.

    CrossRef  Google Scholar 

  5. Kajiya, J., “Ray Tracing Parametric Patches,” Computer Graphics, Vol.16, No.3,(1982), pp.245–254.

    CrossRef  Google Scholar 

  6. Nishita, T., Sederberg, T.W., Kakimoto, M., “Ray Tracing Rational Trimmed Surface Patches,” Computer Graphics, Vol.24, No.4,(1990), pp.337–345.

    CrossRef  Google Scholar 

  7. Nishita, T., Nakamae, E., “Half-Tone Representation of 3D Objects with Smooth Edge by Using a Multi-Scanning Method, “J. Information Processing (in Japanese), Vol.25, No.5,(1984), pp.703–711.

    Google Scholar 

  8. Pavlidis, T., “Scan Conversion of Regions Bounded by Parabolic Splines,” IEEE CG & A, 1985,pp.47–53.

    Google Scholar 

  9. Pahm, B., “Expressive Brush Strokes,” Graphical Models and Image Processing, Vol.53, No.1,(1991), pp.1–6.

    CrossRef  Google Scholar 

  10. Saitoh, T., Hosaka, M., “High Quality Outline Fonts by the Extended Rational Quadratic Bézier Curve,” J. Information Processing(in Japanese), Vol.31, No.4,pp.562–570.

    Google Scholar 

  11. Strassmann, S., “Hairy Brushes,” Computer Graphics, Vol.20, No.4,(1986), pp.225–232.

    CrossRef  Google Scholar 

  12. Yun-Jie, P., Hui-Xiang, Z., “Drawing Chinese Traditional Painting by Computer,” Modeling in Computer Graphics (Proc. of the IFIP WG5.10), Springer-Verlag(1991), pp.321–328.

    CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1993 Springer-Verlag Tokyo

About this paper

Cite this paper

Nishita, T., Takita, S., Nakamae, E. (1993). A Display Algorithm of Brush Strokes Using Bézier Functions. In: Thalmann, N.M., Thalmann, D. (eds) Communicating with Virtual Worlds. CGS CG International Series. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68456-5_20

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-68456-5_20

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68458-9

  • Online ISBN: 978-4-431-68456-5

  • eBook Packages: Springer Book Archive