Properties of the projective mapping of cameras and projectors

Author

Labuz, Jeffrey

Author_Institution

South Carolina Univ., Columbia, SC, USA

fYear

1989

fDate

9-12 Apr 1989

Firstpage

477

Abstract

The geometric pinhole camera model (PCM) for cameras and projectors which is used in computer vision research is examined. The author also analyzes the closely-related central projection equations (CPEs) for the camera mapping of object points to projected rays. The equations of five planes which characterize the PCM are shown to arise neatly from the CPEs. A simple degree-of-freedom (DOF) analysis performed on the CPEs and the PCM reveals that both models contain one redundant DOF. Finally, it is shown that the location of the lens center, in world coordinates, can be found for a calibrated optical device (i.e., an optical device whose central projection parameters have been estimated), by simply solving three simultaneous linear equations in the three unknown point coordinates

Keywords

cameras; computer vision; optical projectors; CPEs; PCM; calibrated optical device; camera mapping; central projection equations; central projection parameters; computer vision research; degree-of-freedom; geometric pinhole camera model; lens center; object points; projected rays; projective mapping; redundant DOF; simultaneous linear equations; unknown point coordinates; world coordinates; Cameras; Equations; Geometrical optics; Layout; Lenses; Optical computing; Optical devices; Parameter estimation; Phase change materials; Solid modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

Southeastcon '89. Proceedings. Energy and Information Technologies in the Southeast., IEEE

Conference_Location

Columbia, SC

Type

conf

DOI

10.1109/SECON.1989.132424

Filename

132424