Proceedings of Symposium on Remote Sensing and Photo Interpretation: Proceedings of Symposium on Remote Sensing and Photo Interpretation

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Multivolume work

Persistent identifier:: 842147969

Title:: Proceedings of Symposium on Remote Sensing and Photo Interpretation

Sub title:: October 7 - 11, 1974, Banff, Alberta, Canada

Year of publication:: 1974

Place of publication:: Ottawa, Ontario

Publisher of the original:: Canadian Inst. of Surveying

Identifier (digital):: 842147969

Language:: German

Other Title:: Nebentitel: Proceedings : Symposium on Remote Sensing and Photo Interpretation

Corporations:: Symposium on Remote Sensing and Photo Interpretation, 1974, Banff, Alberta; International Society for Photogrammetry, Commission Interpretation of Data; Canadian Institute of Surveying

Adapter:: Symposium on Remote Sensing and Photo Interpretation, 1974, Banff, Alberta; International Society for Photogrammetry, Commission Interpretation of Data; Canadian Institute of Surveying

Founder of work:: Symposium on Remote Sensing and Photo Interpretation, 1974, Banff, Alberta; International Society for Photogrammetry, Commission Interpretation of Data; Canadian Institute of Surveying

Other corporate:: Symposium on Remote Sensing and Photo Interpretation, 1974, Banff, Alberta; International Society for Photogrammetry, Commission Interpretation of Data; Canadian Institute of Surveying

Document type:: Multivolume work

Volume

Persistent identifier:: 842148353

Title:: Proceedings of Symposium on Remote Sensing and Photo Interpretation

Sub title:: October 7 - 11, 1974, Banff, Alberta, Canada

Scope:: VII Seiten, Seiten 469 - 878

Year of publication:: 1974

Place of publication:: Ottawa, Ontario

Publisher of the original:: Canadian Inst. of Surveying

Identifier (digital):: 842148353

Illustration:: Illustrationen, Diagramme, Karten

Signature of the source:: T 15 B 1306

Language:: German

Additional Notes:: Literaturangaben

Usage licence:: Attribution 4.0 International (CC BY 4.0)

Corporations:: Symposium on Remote Sensing and Photo Interpretation, 1974, Banff, Alberta; International Society for Photogrammetry, Commission Interpretation of Data; Canadian Institute of Surveying

Adapter:: Symposium on Remote Sensing and Photo Interpretation, 1974, Banff, Alberta; International Society for Photogrammetry, Commission Interpretation of Data; Canadian Institute of Surveying

Founder of work:: Symposium on Remote Sensing and Photo Interpretation, 1974, Banff, Alberta; International Society for Photogrammetry, Commission Interpretation of Data; Canadian Institute of Surveying

Other corporate:: Symposium on Remote Sensing and Photo Interpretation, 1974, Banff, Alberta; International Society for Photogrammetry, Commission Interpretation of Data; Canadian Institute of Surveying

Publisher of the digital copy:: Technische Informationsbibliothek Hannover

Place of publication of the digital copy:: Hannover

Year of publication of the original:: 2015

Document type:: Volume

Collection:: Earth sciences

Chapter

Title:: SPECIAL APPLICATIONS CHAIRMAN. - S. SCHNEIDER

Document type:: Multivolume work

Structure type:: Chapter

Chapter

Title:: DETERMINATION OF NATURAL HAZE SIZE DISTRIBUTION FUNCTIONS FROM OPTICAL DEPTH OBSERVATIONS. David A. Rainey, Warner K. Reeser, William E. Marlatt

Document type:: Multivolume work

Structure type:: Chapter

502 the Mie extinction efficiency factor (Van de Hulst, 1957) . Moreover, the haze composition is integrated into the complex index of refraction m(A). where e Since most hazes are composed of small particles (0<r<10ym), the quadrature conversion will be arranged to emphasize this point, i.e. To mize the 3(A) =ir /“2 10 3 “ N(10°) In 10 Q ext ’ m(A)}da (2) Here we have transformed the variable r by a = log^o r * Finite limits are given Z(f i Incorpoi to the integral to remove a source of singularity from the quadrature matrix. Limits are chosen so that N(10 a ) = 0, a<a, or a>a 2 . E (f i A factor 10 a 10 a , appears in the Yamamoto and Tanaka (1969) form of the where y integral (2) which tends to bring the factor In 10 Q Bxt (2TrlO a /A, m(A)} into the family of "well-behaved" functions the equation (2), in this form, becomes Mir 8(A) = tt / a2 f(a) K(a,A)da, a i f(a) = 10 4a N(10 a ), — a 1 0 a K(O.X) = 10 “in 10 Q ,m(A)} (3). A This is an example of the Fredholm integral equation of the first kind. where A* The method of solving this integral equation given by Phillips and Twomey utilizes a notion of constraining the error in measurement of input data to extract Solving a member of a family of solutions. We introduce matrix notation for the equation (3) with the errors in 8 included: f = g + e = Af (4) Data Aqc where g = (8(Aj)}, e is the error vector, and f is the solution. A is the quadra ture matrix whose elements are given by a.. =w. K(a., A.) Ji i v i y where ok are quadrature weights for integration with respect to the ou . Clearly the system (4) does not generally provide a unique solution, there fore, by the criterion established by Phillips, we select f as a solution to satisfy The continer 1973) ar. the phot depths v\ Haze opt braicall to Rayle gible, s r** d 2 f^ 2 j fT d 2 f 2 j ¿0 57^ dr = y" Jo dr 7 dr f eF where r* = 10 2 and F is a family of solutions of the system (4). An additional constraint is placed on the error vector, namely that its mag nitude by constant or E e 2 = e 2 (6) i 3 Tat observat input ve ( 6 )

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