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Problem - Cylindrical surface model fitting
Suppose there are N points given in the format of (x,y,z) positions. Knowing the points are from a cylindrical surface, find the centre position, the radius and the height of the cylinder such that the N 3D points best fit the cuboid surface.
(1) Generate the 3D points using a given cylinder; you can choose any N, centre position and radius/height of the cylinder, the number N should be more than 60 (at least 20 per surface);
(2) Formulate the optimisation problem to minimise the fitting error;
(3) Solve the problem using any method;
(4) Add some small noises on the 3D points, solve the problem again.
Verified Expert
In this problem 6 we have generated 3D in cylindrical modeling ,Determined least error and noises are calculated Also data table was generated by Solidworks software .
You can solved by any process. If you think software needed then you can use it. If you use software then you can solve quickly i think. Otherwise you can solved by manually also. The process depends on you The data table was generated by Solidworks software, the conversion from geometrical points to mathematical coordinates can be done using a tool known as macro. Thank you very much for doing this assignment for me, it is very much appreciated by my professor. They have very quick turn around time.
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