Physically-Based Modeling Techniques for Interactive Digital Painting
Physically-Based Modeling Techniques for Interactive Digital Painting by William Valentine Baxter III A dissertation submitted to the faculty of the University of North Carolina at Chapel Hill in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Computer Science. Chapel Hill 2004 Approved by: Ming C. Lin, Advisor Dinesh Manocha, Reader Gary Bishop, Reader Anselmo Lastra, Committee Member Michael Minion, Committee Member ii iii Oc 2004 William Valentine Baxter III ALL RIGHTS RESERVED iv v ABSTRACT WILLIAM VALENTINE BAXTER III: Physically-Based Modeling Techniques for Interactive Digital Painting (Under the direction of Ming C. Lin) In this dissertation I present a novel, physically-based approach to digital painting. With the interactive simulation techniques I present, digital painters can work with digital brushes and paints whose behavior is similar to real ones. Using this physically- based approach, a digital painting system can provide artists with a versatile and expressive creative tool, while at the same time providing a more natural style of interaction enabled by the emulation of real-world implements. I introduce several specific modeling techniques for digital painting. First, I present a physically-based, 3D, deformable, virtual brush model based on non-linear quasi-static constrained energy minimization. The brush dynamics are computed using a skeletal physical model, which then determines the motion of a more complex geometric model. I also present three different models for capturing the dynamic behavior of viscous paint media, each offering a different trade-off between speed and fidelity—from 2D heuristics, to 3D partial differential equations.
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