A viscous paint model for interactive applications

We present a viscous paint model for use in an interactive painting system based on the well‐known Stokes' equations for viscous flow. Our method is, to our knowledge, the first unconditionally stable numerical method that treats viscous fluid with a free surface boundary. We have also developed a real‐time implementation of the Kubelka‐Munk reflectance model for pigment mixing, compositing and rendering entirely on graphics hardware, using programmable fragment shading capabilities. We have integrated our paint model with a prototype painting system, which demonstrates the model's effectiveness in rendering viscous paint and capturing a thick, impasto‐like style of painting. Several users have tested our prototype system and were able to start creating original art work in an intuitive manner not possible with the existing techniques in commercial systems. Copyright © 2004 John Wiley & Sons, Ltd.

[1]  Greg Turk,et al.  Melting and flowing , 2002, SCA '02.

[2]  Gene H. Golub,et al.  Matrix computations , 1983 .

[3]  P. Kubelka Ein Beitrag zur Optik der Farban striche , 1931 .

[4]  Jos Stam,et al.  Stable fluids , 1999, SIGGRAPH.

[5]  Ronald Fedkiw,et al.  Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.

[6]  Ronald Fedkiw,et al.  Visual simulation of smoke , 2001, SIGGRAPH.

[7]  C. W. Hirt,et al.  Improved free surface boundary conditions for numerical incompressible-flow calculations , 1971 .

[8]  Michael Griebel,et al.  Numerical Simulation in Fluid Dynamics: A Practical Introduction , 1997 .

[9]  William V. Baxter,et al.  DAB: Interactive Haptic Painting with 3D Virtual Brushes , 2001, SIGGRAPH Courses.

[10]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[11]  Jim X. Chen,et al.  Toward Interactive-Rate Simulation of Fluids with Moving Obstacles Using Navier-Stokes Equations , 1995, CVGIP Graph. Model. Image Process..

[12]  Ronald Fedkiw,et al.  Animation and rendering of complex water surfaces , 2002, ACM Trans. Graph..

[13]  J. Shewchuk An Introduction to the Conjugate Gradient Method Without the Agonizing Pain , 1994 .

[14]  Dimitris N. Metaxas,et al.  Realistic Animation of Liquids , 1996, Graphics Interface.

[15]  Jessica K. Hodgins,et al.  Dynamic simulation of splashing fluids , 1995, Proceedings Computer Animation'95.

[16]  Gary W. Meyer,et al.  Modeling pigmented materials for realistic image synthesis , 1992, TOGS.

[17]  David Salesin,et al.  Computer-generated watercolor , 1997, SIGGRAPH.

[18]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[19]  Gavin S. P. Miller,et al.  Rapid, stable fluid dynamics for computer graphics , 1990, SIGGRAPH.