Light plane calibration from a single view

Trond Melen; Arne Sommerfelt

doi:10.1117/12.182919

17 August 1994 Light plane calibration from a single view

Trond Melen, Arne Sommerfelt

Proceedings Volume 2357, ISPRS Commission III Symposium: Spatial Information from Digital Photogrammetry and Computer Vision; (1994) https://doi.org/10.1117/12.182919
Event: Spatial Information from Digital Photogrammetry and Computer Vision: ISPRS Commission III Symposium, 1994, Munich, Germany

Abstract

The combination of a sheet of light (laser plane, slit ray, etc.) and a camera provides an interesting tool for accurate contact free measurements of physical dimensions. The analysis of the images is substantially simplified by the depth of an observation being uniquely defined by its position in the image. This article shows that, by defining the object coordinate system appropriately, the transformation from object to image coordinates can be expressed as a 3 by 3 homogeneous transformation matrix, also when the object is rotated relative to the light plane. The transformation matrix can be computed from a minimum of four calibration points on a known, roof-shaped calibration object observed from a single view. The inverse matrix gives object coordinates as a function of image coordinates. The 3D camera coordinates of an observation can be obtained from its image coordinates by a homogeneous 4 by 3 transformation matrix. The article shows how the elements of this matrix can be extracted from the 3 by 3 matrix.

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Trond Melen and Arne Sommerfelt "Light plane calibration from a single view", Proc. SPIE 2357, ISPRS Commission III Symposium: Spatial Information from Digital Photogrammetry and Computer Vision, (17 August 1994); https://doi.org/10.1117/12.182919

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KEYWORDS

Calibration

Cameras

Imaging systems

Chemical elements

Distortion

Light sources

Light

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