11 February 2002 Toward a comparative analysis of three-dimensional shape measures
Author Affiliations +
Proceedings Volume 4567, Machine Vision and Three-Dimensional Imaging Systems for Inspection and Metrology II; (2002) https://doi.org/10.1117/12.455243
Event: Intelligent Systems and Advanced Manufacturing, 2001, Boston, MA, United States
Measuring a system's capability to acquire accurate three- dimensional shape is important for validating the system for a particular application. Various system factors are reviewed that contribute to inaccurate shape. As shown in this paper, different shape measures do not do a complete evaluation but provide different information depending on the type of error. A partial-directed hausdorf (PDH) and complex inner product (CIP) measure that were previously introduced to measure two-dimensional shapes are now extended to measure three-dimensional shapes. PDH measures how close the 3D surface is to the ideal 3D surface within a predefined acceptable error margin, while the CIP measures how well the 3D surface correlates to the ideal 3D surface. Two variants of the CIP measure are used in this paper including a pure phase only filter and a normalized matched filter. The CIP measure is compared to the Procrustes metric for comparing shapes. Using a test case shape, the measures are compared and shown to provide varying information. Alone, any one measure cannot provide complete shape information. Combining measures provides a more robust three-dimensional shape measurement system. The shape measures are demonstrated first on three-dimensional data with controlled variation and then on laser ranging data.
© (2002) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Gregory J. Power, Gregory J. Power, Jason B. Gregga, Jason B. Gregga, } "Toward a comparative analysis of three-dimensional shape measures", Proc. SPIE 4567, Machine Vision and Three-Dimensional Imaging Systems for Inspection and Metrology II, (11 February 2002); doi: 10.1117/12.455243; https://doi.org/10.1117/12.455243


A coarse to fine 3D acquisition system
Proceedings of SPIE (April 29 2015)
High-performance 3D-imaging laser sensor
Proceedings of SPIE (May 27 1999)
ATR paradigm comparison with emphasis on model-based vision
Proceedings of SPIE (January 31 1992)
Semantic perception for ground robotics
Proceedings of SPIE (May 24 2012)

Back to Top