Abstract
This paper applies plane-parallel radiance transport techniques to scattering from vegetation. The leaves, stems, and branches are represented as a volume density of scattering surfaces, depending only on height and the vertical component of the surface normal. Ordinary differential equations are written for the multiply scattered radiance as a function of the height above the ground, with the sky radiance and ground reflectance as boundary conditions. They are solved using a two-pass integration scheme to unify the two-point boundary conditions, and Fourier series for the dependence on the azimuthal angle. The resulting radiance distribution is used to precompute diffuse and specular “ambient” shading tables, as a function of height and surface normal, to be used in rendering, together with a z-buffer shadow algorithm for direct solar illumination.
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References
William Allen and Arthur Richardson, “Interaction of Light with a Plant Canopy,” Journal of the Optical Society of America, Vol. 58, No. 8 (1968) pp. 1023–1028.
Neeta Bhate, “Application of Rapid Hierarchical Radiosity to Participating Media,” in “ATARV-93: Advanced Techniques in Animation, Rendering, and Visualization” (B. Özgüç, V. Akman, eds.), Bilkent University (July 1993) pp. 43–53.
Phong Bui-Tuong, “Illumination for Computer Generated Pictures,” Communications of the ACM, Vol. 18. No. 6 (1975) pp. 311–317.
James Blinn, “Models of light reflection for computer synthesized pictures,” Computer Graphics Vol. 11 No. 2 (1987, Siggraph ‘87 Conference Proceedings) pp. 192–198.
Christoph Borel, Siegfried Gerstl, and Bill Powers, “The Radiosity Method in Optical Remote Sensing of Structured 3-D Surfaces, Remote Sensing of Environment, Vol. 36 (1991) pp. 13–44.
Brian Cabral, Nelson Max, and Rebecca Springmeyer, “Bidirectional Reflection Functions from Surface Bump Maps,” Computer Graphics Vol. 21 No. 4 (July 1987, Siggraph ‘87 Conference Proceedings) pp. 273–281.
Loren Carpenter, “The A-Buffer, An Antialiased Hidden Surface Method,” Com- puter Graphics Vol. 18 No. 3 (1984; Siggraph ‘84 Proceedings) pp. 103–108.
Subrahmanyan Chandrasekhar “Radiative Transfer”, Oxford University Press, 1950.
Hong Chen and En-Hua Wu, “Radiosity for Furry Surfaces,” Eurographics ‘81 Proceedings, North-Holland (1991) pp. 446–457.
Per Christensen, Dani Lischinski, Eric Stollnitz, and David Salesin, “Clustering for Glossy Illumination,” ACM Trans. on Graphics Vol. 16 No. 1 (1997) pp. 3–33.
Seigfried Gerstl and Christoph Borel, “Principles of the Radiosity Method versus Radiative Transfer for Canopy Reflectance Modeling,” IEEE Transactions Geoscience and Remote Sensing, Vol. 30 No. 2 (1992) pp. 271–275.
Narendra Goel, Ivan Rozehnal, and Richard Thompson, “A Computer Graphics Based Model for Scattering from Objects of Arbitrary Shapes in the Optical Region, Remote Sensing of Environment, Vol. 36 (1991) pp. 73–104.
W. W. Gregg and K. L. Carder, “A simple spectral solar irradiance model for cloudless maritime atmospheres,” Limnology and Oceanography Vol. 35 No. 8 (1990) pp. 1657–1675.
Pat Hanrahan and Wolfgang Krueger, “Reflection from Layered Surfaces due to Subsurface Scattering,” ACM Computer Graphics Proceedings, Annual Conference Series (1994) pp. 165–174.
A. W. Harrison and C. A. Coombes, “An opaque cloud cover model of sky short wavelength radiance,” Solar Energy, Vol. 41 No. 4 (1988) pp. 387–392.
Kenneth Joy, Charles Grant, Nelson Max, and Lansing Hatfield, “Tutorial, Computer Graphics: Image Synthesis,” IEEE Computer Society Press (1988) Fig 7.2, p. 229.
James Kajiya “The Rendering Equation,” Computer Graphics Vol. 20, No. 4 (August 1986) pp. 165–174.
Fritz Kasten and Gerhard Czeplak, “Solar and terrestrial radiation dependent on the amount and type of cloud,” Solar Energy Vol. 24 (1980) pp. 177–189.
] Paul Kubelka and F. Munk, “Ein beitrag zur optik der farbenstriche,” Zurich Tech. Physik, Vol 12 (1931) p. 543.
Xiaowen Li and Alan Strahler, “Geometric-Optical Bidirectional Reflectance Modeling of the Discrete Crown Vegetation Canopy: Effect of Crown Shape and Mutual Shadowing,” IEEE Transactions Geoscience and Remote Sensing, Vol. 30 No. 2 (1992) pp. 276–291.
Qinglan Ma, Akira Ishimaru, Phillip Phu, and Yasuo Kuga, “Transmission, Reflection, and Depolarization of an Optical Wave for a Single Leaf,” IEEE Transactions Geoscience and Remote Sensing, Vol. 28 No. 5 (1990) pp. 865–872.
Nelson Max, “Efficient Light Propagation for Multiple Anisotropic Volume Scattering,” in “Photorealistic Rendering Techniques” (G. Sakas, P. Shirley, and S. Müller, eds.) Springer Verlag, Heidelberg (1995) pp. 87–104.
Nelson Max, “Optical Models for Direct Volume Rendering,” IEEE Transac- tions on Visualization and Computer Graphics, Vol. 1 No. 2 (1995) pp. 99–108.
Nelson Max, “Hierarchical Rendering of Trees from Precomputed Multi-Layer Z-Buffers”, in “Rendering Techniques ‘86”, X Pueyo and P. Schröder (eds.), Springer, New York (1996).
Gene Miller and Robert Hoffman, “Illumination and reflection maps: Simulated objects in simulated and real environments,” Advanced Image Synthesis Course Notes, Siggraph 1984 Conference.
M. Minnaert, “The Nature of Light and Color in the Open Air,” Dover (1954), section 220, pp. 335–338.
Curtis Mobley, Light and Water: Radiative Transfer in Natural Waters, Academic Press, San Diego (1984).
Curtis Mobley, “Hydrolight 3.0 Users’ Guide,” SRI International, 333 Ravenswood Avenue, Menlo Park, CA 94025 (1996).
Ranga Myneni, Juhan Ross, and Ghassem Asrar, “A review on the theory of photon transport in leaf canopies,” Agricultural and Forest Meteorology, Vol. 45 (1989) pp. 1–153.
T. Nilson and U. Peterson, “A Forest Canopy Reflectance Model and a Test Case,” Remote Sensing Environments, Vol. 37 (1991) pp. 131–142.
William Press, Brian Flannery, Saul Teukolsky, and William Vetterling, “Numerical Recipes: The Art of Scientific Computing,” Cambridge University Press, Cambridge (1988).
W. A. Rens, “Polarization Studies of Light Diffusely Reflected from Ground and Etched Glass Surfaces,” Journal of the Optical Society of America Vol. 40 (1950) pp. 55–59.
Robert Siegel and John Howell, “Thermal Radiation Heat Transfer, third edition,” Hemisphere Publishing, Washington, 1992.
Francois Sillion, “A Unified Hierarchical Algorithm for Global Illumination with Scattering Volumes and Object Clusters,” IEEE Transactions on Visualization and Computer Graphics, Vol. 1 No. 3 (1995) pp. 240–254.
Gregory Ward, “The RADIANCE Lighting and Rendering System,” ACM Com- puter Graphics Proceedings, Annual Conference Series (1994) pp. 459–472.
Lance Williams, “Casting Curved Shadows on Curved Surfaces,” Computer Graphics Vol. 12 No. 3 (August 1978, Siggraph ‘78 Conference Proceedings) pp. 270–274.
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Max, N., Keating, B., Mobley, C., Wu, EH. (1997). Plane-Parallel Radiance Transport for Global Illumination in Vegetation. In: Dorsey, J., Slusallek, P. (eds) Rendering Techniques ’97. EGSR 1997. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6858-5_22
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DOI: https://doi.org/10.1007/978-3-7091-6858-5_22
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