3D Surface Generation Algorithm Using Lagrange Basis Functions in CAD/CAM Application
Engineering and Technology Journal,
2008, Volume 26, Issue 11, Pages 1384-1395
AbstractThe objective of this paper is to create an efficient and accurate 3D surface
interior data depending on primary initial data based on Lagrangian interpolation
concept. The presented algorithm of 3D surface generation is an extended of the
conventional Lagrangian interpolation (1D). The interior data of the designed
surface have been transformed automatically to a vertical CNC milling machine
(Bridge-port) through the serial port (RS232) to machine the designed 3D surfaces,
where the toolpath have been generated based on linear interpolation techniques.
The result of the proposed algorithm have been compared with the well know
"Hermit, Bezier and B-Spline" 3D surface generation methods.
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