Three dimensional modelling of the peach in MAPLE. (English) Zbl 1201.65032

Bartoň, Stanislav

Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 14. Proceedings of the seminar, Dolní Maxov, Czech Republic, June 1–6, 2008. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-55-4). 7-14 (2008).

Summary: Linearized Gauss-Newton iteration method is used to determine main axes of the three-dimensional ellipsoid approximating peach. Three independent photos displaying the peach as ground, side and front view are used as data sources. System Maple 11 was used as a computer environment. A practical example is presented in order to demonstrate the usage of all required commands. The quality of approximation is evaluated as a final part of the paper.
For the entire collection see [Zbl 1194.65013].

MSC:

65D18

Numerical aspects of computer graphics, image analysis, and computational geometry

Keywords:

algorithm; graphical examples; linearized Gauss-Newton iteration method; ellipsoid approximating peach

Software:

Maple