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Proceedings of Symposium on Remote Sensing and Photo Interpretation (Volume 2)

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fullscreen: Proceedings of Symposium on Remote Sensing and Photo Interpretation (Volume 2)

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

Contents

Table of contents

  • Proceedings of Symposium on Remote Sensing and Photo Interpretation
  • Proceedings of Symposium on Remote Sensing and Photo Interpretation (Volume 2)
  • Cover
  • Title page
  • Title page
  • SYMPOSIUM COMMITTEE
  • FOREWORD
  • CONTENTS
  • SPECIAL APPLICATIONS CHAIRMAN. - S. SCHNEIDER
  • TECHNIQUES OF AERIAL ARCHEOLOGY. Thomas Eugene Avery
  • AERIAL PHOTOGRAPHY FOR POCKET GOPHER POPULATIONS. Richard S. Dricoll and Thomas C. Watson
  • SPECTRAL REFLECTANCE OF DESERT VEGETATION AND REMOTE SENSING. N. G. Kharin
  • DETERMINATION OF NATURAL HAZE SIZE DISTRIBUTION FUNCTIONS FROM OPTICAL DEPTH OBSERVATIONS. David A. Rainey, Warner K. Reeser, William E. Marlatt
  • LUFTBILDAUSWERTUNG 1887 Zwei Dokumente aus den Anfängen der forstlichen und landeskulturellen Luftbildinterpretation. G. Hildebrandt
  • CANADIAN REMOTE SENSING - REGIONAL CENTRES. Victor Zsilinszky
  • SOME QUESTIONS OF EXPLORING NATURAL RESOURCES WITH THE HELP OF COSMIC STATIONS. E. P. Arjanov, Yu. P. Kienko
  • METHODS OF INTERPRETATION OF AERIAL PHOTOGRAPHS IN FOREST INVENTORY AND MANAGEMENT IN THE USSR. V. I. Sukhih, S. G. Sinitsin
  • GEOLOGY CHAIRMAN. - A.F. GREGORY
  • INTERPRETATION AND ANALYSIS CHAIRMEN. - M. A. FONTANEL - G. HILDEBRANDT
  • AIMS AND PROGRESS OF THE WORKING GROUP ON GEOMETRY OF REMOTE SENSING. G. Konecny
  • RESOLUTIONS
  • LIST OF PARTICIPANTS
  • Cover

Full text

501 
DETERMINATION OF NATURAL HAZE SIZE DISTRIBUTION FUNCTIONS 
FROM OPTICAL DEPTH OBSERVATIONS 
David A. Rainey, Warner K. Reeser, William E. Marlatt 
Colorado State University 
ABSTRACT 
Work by Phillips and Twomey has provided a technique for solving the Fred 
holm integral equation of the first kind, which arises frequently in remote sensing 
problems. This technique has been applied widely to the problem as determining 
natural haze size distribution functions. 
Determination of a distribution function is made using optical depth measure 
ments for the earth’s atmosphere observed at the ground. This process yields an 
average distribution for an aerosol layer one kilometer in height. 
INTRODUCTION 
A principle problem encountered in studies of the effect on attenuation of 
solar radiation in the atmosphere by natural hazes reduces to that of characteri 
zing the haze by composition and size distribution. The standard approach to this 
problem is to solve the integral equation which gives the extinction coefficient 
for the layer. This is equivalent to inverting the linear system given by the 
numerical quadrature form of the integral. Phillips (1962) proposed a method of 
solution in which the solution is picked from a family of solutions by placing a 
constraint of the error function of the data and subjecting the solution to a 
smoothness criterion. Twomey (1963) provided a form of Phillips solution that 
did not require the quadrature matrix to be square. 
The method was applied to horizontal extinction measurements over Chesapeake 
Bay by Yamamoto and Tanaka. Their work showed that natural hazes are fairly well 
approximated by a power law. 
The method used by Yamamoto and Tanaka is applied here to optical depth data 
where extinction is obtained by assuming that the optical depth measured is the 
extinction of a haze of one kilometer in height. 
As in other studies of this type, Mie scattering is assumed, 
METHOD 
The extinction coefficient, 3, may be given as a function of wavelength, 
A, by the integral equation 
3(A) = tt /°° r 2 N(r)Q ext (x, m(A) }dr 0-1 
^ -3 -1 
where the solution N(r) is the particle size distribution in cm Qim) , r is the 
particle radius, and x = 2-nr/X is the Mie size parameter. The factor is
	        

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