“Radiosity algorithms using higher order finite element methods” by Troutman and Max

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Title:

    Radiosity algorithms using higher order finite element methods

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Abstract:


    Many of the current radiosity algorithms create a piecewise constant approximation to the actual radiosity. Through interpolation
    and extrapolation, a continuous solution is obtained. An accurate
    solution is found by increasing the number of patches which describe
    the scene. This has the effect of increasing the computation time as
    well as the memory requirements. By using techniques found in the
    finite element method, we can incorporate an interpolation function
    directly into our form factor computation. We can then use less elements to achieve a more accurate solution. Two algorithms, derived
    from the finite element method, are described and analyzed

References:


    1. Baum, Daniel R., Holly E. Rushmeier, James M. Winget, Improving Radiosity Solutions Through the Use of Analytically Determined Form-Factors, Computer Graphics 23(3), July 1989
    2. Burnett, David S., Finite Element Analysis, Addison Wesley Publishing Co., Reading, Massachusetts, May 1988
    3. Cohen, Michael F., Donald E Greenberg, The Hemicube: A Radiosity Solution for Complex Environments, Computer Graphics 19(3), July 1985
    4. Farin, Gerald, Curves and Sulfaces for Computer Aided Geometric Design, Academic Press, 1990.
    5. Goral, Cindy M., Kenneth E. Torrance, Donald E Greenberg, Bennett Battaile, Modeling the Interaction of Light Between Diffuse Sulfaces, Computer Graphics 18(3), July 1984
    6. Hallquist, John O., MAZE – An Input Generator for DYNA2D and NIKE2D, LLNL Tech. Report, UCID-19029, Rev. 2.
    7. Heckbert, Paul S., Generic Convex Polygon Scan Conversion and Clipping, Graphics Gems, Academic Press, 1990
    8. Heckbert, Paul S., James M. Winget, Finite Element Methods for Global Illumination,U.C. Berkeley, Jan. 1991
    9. Heckbert, Paul S.,Discontinuity Meshing for Radiosity, Third Eurographics Workshop on Photorealism, Consolidation Express, Bristol, England, May 1992
    10. Lischinski, Dani, Filippo Tampieri, Donald E Greenberg, Combining Hierarchical Radiosity and Discontinuity Meshing, Computer Graphics, Annual Conf. Series, Aug. 1993
    11. Max, Nelson L., Michael J. Allison, Linear Radiosity Approximations using Vertex-to-Vertex Form Factors, Graphics Gems III, Academic Press, 1992
    12. Salesin, David, Dani Lischinski, Tony DeRose, Reconstructing Illumination Functions with Selected Discontinuities, Third Eurographics Workshop on Photorealism, Consolidation Express, Bristol, England, May 1992
    13. Siegel, Robert, John R. Howell, Thermal Radiation Heat Transfer, McGraw-Hill Book Co., N.Y., 1972
    14. Troutman, Roy, Parallel Radiosity Algorithms using Higher Order Finite Elements, Master’s thesis, U.C. Davis, Dec. 1992
    15. Wallace, John R., Kells A. Elmquist, Eric A. Haines, A Ray Tracing Algorithm For Progressive Radiosity, Computer Graphics 23(3), July 1989
    16. Zats, Harold R., Galerkin Radios#y: Higher Order Global Illumination, Computer Graphics, Annual Conf. Series, Aug. 1993


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