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Downloads > Mathematics & Simulation > Maple

 Fitting A Sphere to Data

Laser scanners are often used to reverse engineer the geometry of a physical object by acquiring its 3D coordinates. A geometric model, such as a sphere, torus or cone, is then fit to these points.
  • This worksheet fits a sphere to a 3D data set by artificially generating experimental data points on the surface of a sphere and polluting them with noise,
  • defining an objective function that describes the sum of the squares of the distance of each point from a sphere,
  • finding the radius and the centre of the sphere that best describes the 3D points by minimising the objective function,
  • and finally plotting the 3D points against the best-fit sphere.


Download Estimate
File size: 0.62 MB

1 minute and 31 seconds. [56Kbps]
and 8 seconds. [ADSL/Cable 640Kb]
and 6 seconds. [T-1]

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File Size 0.62 mb

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