Spectral Theory for Photon Transport in Dense Vegetation Media: Caseology for the Canopy Equation

References

• Bell , G. I. and Glasstone , S. 1970 . Nuclear Reactor Theory Princeton, NJ : Van Nostrand‐Reinhold .
   Google Scholar
• Bunmk , N. J. J. 1978 . The Multispectral Reflectance of Shortwave Radiation by Agricultural Crop in Relation with Their Morphological and Optwal Properties Wagenmgen, , Netherlands : Pudoc .
   Google Scholar
• Case , K. M. 1960 . Elementary solutions of the transport equation and their applications . Ann. Phys. NY , 9 : 1 – 23 .
   Web of Science ®Google Scholar
• Case , K. M. and Zweifel , P. F. 1967 . Linear Transport Theory Reading, MA : Addison‐Wesley .
   Google Scholar
• Davidson , B. 1945 . “ Angular distribution due to an isptropic point source and spherically symmetrical eigensolutions of the transport equation ” . In Rep. MT‐112 Nat. Res. Court. Can Ottawa, , Canada
   Google Scholar
• Furfaro , R. Radiative transport theory in dense plant canopies: A neural network application to coffee cherry ripeness estimation . Trans. Am. Nucl. Soc. annual meeting . June 13–17 , Pittsburg, PA.
   Google Scholar
• Furfaro , R. , Ganapol , B. , Johnson , L. and Herwitz , S. 2007 . “ Coffee ripeness monitoring with airborne imagery: Neural network algorithm for field ripeness evaluation using reduced a priori information. ” . In Applied Engineering in Agriculture Vol. 23 , 379 – 387 .
   Google Scholar
• Furfaro , R. , Ganapol , B. , Johnson , L. and Herwitz , S. “ Model‐based neural network for coffee percentage prediction: Application to ground images ” . Unpublished
   Google Scholar
• Furfaro , R. , Ganapol , B. , Johnson , L. and Herwitz , S. Leaf‐canopy inversion model through a neural network algorithm: Application to coffee cherry estimation using UAV images . AGU Fall Meeting . December 8–12 . San Francisco, CA
   Google Scholar
• Furfaro , R. , Ganapol , B. , Johnson , L. and Herwitz , S. Leaf‐canopy model inversion via a neural network: Application to ripe cherry estimation for UAV images . 18th Int'l Conf. Transp. Theory . July 25–31 , Rio de Janeiro, Brazil.
   Google Scholar
• Ganapol , B. D. , Johnson , L. F. , Hammer , P. D. , Hlavka , C. A. and Peterson , D. L. 1998 . LEAFMOD: A new within‐leaf radiative transfer model . Remote Sens. Environ. , 63 ( 2 ) : 182 – 193 .
   Web of Science ®Google Scholar
• Ganapol , B. D. , Johnson , L. F. , Hlavka , C. A. , Peterson , D. L. and Bond , B. 1999 . LCM2: A coupled leaf/canopy radiative transfer model . Remote Sens. Environ , 70 : 153 – 166 .
   Web of Science ®Google Scholar
• Ganapol , B. D. and Myneni , R. B. 1992 . The FN method for the one‐angle radiative transfer equation applied to plant canopies . Remote Sens. Environ. , 39 : 213 – 231 .
   Web of Science ®Google Scholar
• Gerstl , S. A. W. and Zadeci , A. A. 1985 . Coupled atmosphere/canopy model for remote sensing of plant reflectance features . Appl. Opt. , 24 : 94 – 103 .
   PubMed Web of Science ®Google Scholar
• Larsen , E. 1975 . Solution of neutron transport problems in L1 . Comm. Pure Appl. Math. , 28 : 729 – 746 .
   Web of Science ®Google Scholar
• Mika , J. R. 1961 . Neutron transport with anisotropic scattering . Nucl. Sci. Eng. , 11 : 415 – 427 .
   Web of Science ®Google Scholar
• Myneni , R. B. , Gutschick , V. P. , Asrar , G. and Kanemasu , E. T. 1988 . Photon transport in vegetation canopied with anisotropic scattering. Part II: Discrete ordinate/exact‐kernel technique for one‐angle photon transport in slab geometry . Agr. Forest Meteor. , 42 : 17 – 40 .
   Google Scholar
• Ross , J. 1981 . The Radiation Regime and Architecture of Plant Stands The Hague : Dr. W. Junk .
   Google Scholar
• Sellers , P. J. 1997 . Modeling the exchange of energy water and carbon between continents and atmosphere . Science , 275 : 502 – 509 .
   PubMed Web of Science ®Google Scholar
• Shultis , K. J. and Myneni , R. B. 1989 . Radiative transfer in vegetation canopy with anisotropic scatttering . J. Quant. Spectrosc. Radiat. Transfer , 39 : 115 – 129 .
   Web of Science ®Google Scholar
• Siewert , C. E. 1978 . The FN method for solving radiative transfer problems in plane geometry . Astrophys. Space Sci. , 58 : 131 – 137 .
   Web of Science ®Google Scholar
• Simmer , C. and Gerstl , S. A. W. 1985 . Remote sensing of the angular characteristics of canopy reflectance . IEE Trans. Geosci. Remote Sens. , GE‐23 : 648 – 655 .
   Google Scholar
• Suits , G. W. 1972 . The calculation of the directional reflectance of a vegetative canopy . Remote Sens. Environ. , 2 : 117 – 125 .
   Google Scholar
• Van Kampen , N. G. 1955 . Physica , 21 : 949 – 960 .
   Google Scholar
• Van Kampen , N. G. 1960 . Proc. Con. Ned. B , 63 : 92 – 100 .
   Google Scholar
• Wigner , E. P. 1961 . Nuclear reactor theory . Proc. Symp. Appl. Math. , 11 : 89
   Google Scholar
• Williams , M. M. R. 1971 . Mathematical Methods in Transport Theory London : Butterworths .
   Google Scholar
• Zweifel , P. F. 1967 . Developments in Transport Theory Edited by: Inonu , E. and Zweifel , P. F. New York : Academic Press .
   Google Scholar