XIII Congress of the
International Society for Photogrammetry
Helsinki, 1976
Commission V
Working Group V/1
Invited Paper
Dr. Kam W. Wong
University of Illinois
Urbana, IL 61801
USA
Mathematical Formulation and
Digital Analysis in Close-Range
Photogrammetry
A digital model of a surface may be generated by digitizing
maps, measuring corresponding photo image coordinates, or
digitizing directly in the stereo model.
INTRODUCTION
Ox of the major trends in the development of close-range photogrammetry during
the past several years has been the increasing use of electronic computers for both data
reduction and analysis. In many areas of applications, the most desirable end product of the
photogrammetric mapping process is not a contour map but a list of coordinates which define
the spatial positions of a finite but large number of discrete points. The set of coordinates
ABSTRACT: One of the major trends in the development of close-range
photogrammetry during the past several years has been the increas-
ing use of electronic computers for both data reduction and analysis.
In many areas of applications, the most desirable end product of the
photogrammetric mapping process is not a contour map but a list of
coordinates which define the spatial position of a finite but large
number of discrete points. The set of coordinates represents a digital
model of the surface. Digital data can be generated by digitizing
existing maps, measuring photo image coordinates (fully-analytical
approach), or digitizing a stereo model in a stereoplotting instrument
(semi-analytical approach). Analytical methods and computer pro-
grams are now available for computing object space coordinates from
either photo coordinates or arbitrary model coordinates, for model-
ing lens and film distortions, for camera calibration, and for the
generation of graphics such as contour maps and perspective views.
Significant advancements have also been made in the application of
analytical techniques in stereoscopic measurement using non-metric
cameras and scanning electron microscopes.
represents a digital model of the surface being mapped. It provides the researcher with
unlimited flexibility in the use of this digital model for design analysis. Numerical parameters
such as areas, volumes, perimeter distances, velocity, and center of gravity, and changes in
position, size, and shape can be easily computed from the digital model with the help of a
high-speed electronic computer. Graphic products such as contour maps, and perspective
PHOTOGRAMMETRIC ENGINEERING AND REMOTE SENSING, 1355
Vol. 41, No. 11, November 1975, pp. 1355-1373.
