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Profile Measurement via Splines
The profiles of cold rolled steel tubing must be measured and compared to a
CAD model. The measurement data is modelled by sequentially tangent circles
and lines.
Data points on the profile are obtained from five
radially mounted light sectioning heads. The profile
is modelled by a spline consisting of mutually
tangent circles and lines. The spline is fit by orthogonal
distance least squares using a constrained
Levenberg-Marquardt optimization algorithm.
The linearized optimization problem is to find:
Subject to the constraints:
The covariance of the parameters is estimated by
computing the Jacobian of the parameters with
respect to the data points using the implicit function
theorem:
Matthew Harker
Lehrstuhl für Automation
an der MUL seit: 2003
Email: matthew.harker@unileoben.ac.at
automation.unileoben.ac.at
Zur Person:
Mechanical Engineering, Specialization in Automation (McGill
University, Canada, 2003, MUL, 2008)
The estimated parameters (radii, widths, angles)
can be compared directly with the CAD model. The
accuracy of the measured dimensions is estimated
by means of first order covariance propagation.
Forschungspartner:
Forschungsschwerpunkte:
Mathematical methods for metric vision
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