Abstract
We present and analyze in 2D an algorithm for extracting self-consistent sets of boundary representations of interfaces from level set representations of many phase systems. The conformal voxel algorithm which is presented requires the use of a mesh generator and is found to be robust and effective in producing the extractions in the presence of higher order junctions.
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Osher, S., Sethian, J.A.: Fronts Propogating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations. J. Comp. Phys. 79, 12–49 (1988)
Merriman, B., Bence, J.K., Osher, S.J.: Motion of Multiple Junctions: A Level Set Approach. J. Comp. Phys. 112, 334–363 (1994)
Bloomfield, M.O., Richards, D.F., Cale, T.S.: A Computational Framework for Modeling Grain Structure Evolution in Three Dimensions. Phil. Mag. 83(31-34), 3549–3568 (2003)
Bloomfield, M.O., Richards, D.F., Cale, T.S.: A Tool for the Representation, Evolution, and Coalescence of 3-Dimensional Grain Structures. Presented during the Sixth United States National Congress on Computational Mechanics, Dearborn, MI, August 1-3 (2001)
Kuprat, A., Khamayseh, A., George, D., Larkey, L.: Volume Conserving Smoothing for Piecewise Linear Curves, Surfaces, and Triple Lines. J. Comp. Phys. 172, 99–118 (2001)
Phong, B.: Illumination for Computer Generated Pictures. Comm. of the ACM 18(8), 311–317 (1975)
A Two-Dimensional Quality Mesh Generator and Delaunay Triangulator, http://www-2.cs.cmu.edu/~quake/triangle.html
Netlib Repository at UTK and ORNL, http://www.netlib.org/
Papoulis, A.: Signal Processing. McGraw-Hill, New York (1997)
Bloomfield, M.O., Richards, D.F., Cale, T.S.: A Conformal Voxel Extraction Method for Extraction of Multiple Level Set Fields in Three Dimensions (in preparation)
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© 2005 Springer-Verlag Berlin Heidelberg
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Bloomfield, M.O., Richards, D.F., Cale, T.S. (2005). The Use of Conformal Voxels for Consistent Extractions from Multiple Level-Set Fields. In: Sunderam, V.S., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science – ICCS 2005. ICCS 2005. Lecture Notes in Computer Science, vol 3516. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11428862_7
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DOI: https://doi.org/10.1007/11428862_7
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