Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/33406
Title: Fast rendering of diffusion curves with triangles
Authors: Pang, WM
Qin, J
Cohen, M
Heng, PA
Choi, KS 
Keywords: Computer graphics
Diffusion curves
Harmonic maps
Mean value coordinates
Nonphotorealistic rendering
Vector graphics rendering
Issue Date: 2012
Publisher: IEEE Computer Soc
Source: IEEE computer graphics and applications, 2012, v. 32, no. 4, 6051406, p. 68-78 How to cite?
Journal: IEEE Computer Graphics and Applications 
Abstract: Diffusion curves are a new kind of primitive in vector graphics, capable of representing smooth color transitions among boundaries. Their rendering requires solving Poisson's equation; much previous research relied on traditional solvers, which commonly require GPU acceleration to achieve real-time rasterization. This obviously restricts deployment on the Internet—for example, as rich Internet applications, in which various computing environments are involved. Diffusion effects are similar to locally defined interpolation with a particular orientation and magnitude. Inspired by that observation, a mesh-based framework combined with mean value coordinates (MVC) interpolants efficiently renders diffusion curve images on a CPU. This method employs a visibility algorithm to efficiently find and sort neighboring curve nodes for each vertex. It then assigns the vertex colors according to MVC interpolation with the neighboring curve nodes. Experiments produced rendering results comparable to traditional solvers, but this method is computationally more efficient and runs much faster on a CPU.
URI: http://hdl.handle.net/10397/33406
ISSN: 0272-1716
DOI: 10.1109/MCG.2011.86
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