Fitting A Sphere to Data
File Size 0.62 mb
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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.
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Download EstimateFile size: 0.62 MB 1 minute and 31 seconds. [56Kbps]
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