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- Article name
- CALCULATING A POINT ON THE PARAMETRIC CURVE CLOSEST TO THE SPECIFIED POINT IN THE TASKS OF COMPUTER AIDED DESIGN
- Authors
- Nikolaev P. M., , geom3d@geom3d.com, FSUE "Central Aero-Hydrodynamic Institute named after N. E. Zhukovsky", Zhukovsky, Moscow region, Russia
- Keywords
- spline / distance minimization / quadratic expansion
- Year
- 2014 Issue 4 Pages 72 - 74
- Code EDN
- Code DOI
- Abstract
- In modern CAD systems a number of geometric algorithms require quick and reliable method for determining the point on the curve closest to a given point. Parametric splines, used in the systems, do not allow obtaining an analytical solution of this problem. An algorithm for the calculation of a point on the parametric curve closest to a given point is presented. The algorithm is based on an iterative cycle and has a quadratic rate of convergence. The comparison of the algorithm software implementation with a known Hoschek's method is presented.
- Text
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