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Issue No.04 - July-Aug. (2012 vol.32)
pp: 68-78
Wai-Man Pang , Caritas Institute of Higher Education
Jing Qin , Chinese Univeristy of Hong Kong
Michael Cohen , University of Aizu
Pheng-Ann Heng , Chinese University of Hong Kong
Kup-Sze Choi , Hong Kong Polytechnic University
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.
INDEX TERMS
Image color analysis, Rendering (computer graphics), Interpolation, DIffusion processes, Graphics processing unit, Curves, Harmonic analysis,harmonic maps, Image color analysis, Rendering (computer graphics), Interpolation, DIffusion processes, Graphics processing unit, Curves, Harmonic analysis, nonphotorealistic rendering, Image color analysis, Rendering (computer graphics), Interpolation, Color, Graphics processing unit, Nickel, computer graphics, diffusion curves, vector graphics rendering, mean value coordinates
CITATION
Wai-Man Pang, Jing Qin, Michael Cohen, Pheng-Ann Heng, Kup-Sze Choi, "Fast Rendering of Diffusion Curves with Triangles", IEEE Computer Graphics and Applications, vol.32, no. 4, pp. 68-78, July-Aug. 2012, doi:10.1109/MCG.2011.86
REFERENCES
1. A. Orzan et al., “Diffusion Curves: A Vector Representation for Smooth-Shaded Images,” ACM Trans. Graphics, vol. 27, no. 3, 2008, article 92.
2. S. Jeschke, D. Cline, and P. Wonka, “A GPU Laplacian Solver for Diffusion Curves and Poisson Image Editing,” ACM Trans. Graphics, vol. 28, no. 5, 2009, article 116.
3. J.R. Shewchuk, “Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator,” Applied Computational Geometry: Towards Geometric Engineering, LNCS 1148, Springer, 1996, pp. 203–222.
4. G.S. Watkins, “A Real Time Visible Surface Algorithm,” PhD thesis, Computer Science Division, Univ. of Utah, 1970.
5. M. Kazhdan and H. Hoppe, “Streaming Multigrid for Gradient-Domain Operations on Large Images,” ACM Trans. Graphics, vol. 27, no. 3, 2008, article 21.
6. A. Agarwala, “Efficient Gradient-Domain Compositing Using Quadtrees,” ACM Trans. Graphics, vol. 26, no. 3, 2007, article 94.
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