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24 October 1984 Application Of Vanishing Points To 3-D Measurement
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Perspective transformation is one of many cues to 3d spatial information about objects in a 2d image. We can de-termine some 3d information such as the directions of lines or orientation of surfaces based on vanishing points(VP's) or vanishing lines(VL's) in the image. This note describes an analysis of errors in 3d measurements caused by errors in VP or VL detection. We will calculate the range of error in surface orientation when VP or VL location is determined within a certain error. First we will make clear the role that the location of the VP or VL plays in the 3d measurements. We will consider the computation of length of line segments and surface orientation. Then, we will calculate the range of the error of these 3d measurements as a function of VP or VL errors. Finally we will show how to use constraints based on real world knowledge of the relationships between surface orientations to increase the precision of the error analysis.
© (1984) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Hiromasa Nakatani, Richard S. Weiss, and Edward M. Riseman "Application Of Vanishing Points To 3-D Measurement", Proc. SPIE 0507, Processing and Display of Three-Dimensional Data II, (24 October 1984);

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