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Optical Engineering

Supplying interpolation and continuity in surface modeling via Bezier networks and optical metrology
Author(s): J. Apolinar Muñoz-Rodriguez; Francisco Carlos Mejía Mejia Alanis
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Paper Abstract

An automatic technique to provide interpolation and continuity in the object surface modeling via Bezier networks is presented. This technique generates the surface model via Bezier networks based on surface points, which are retrieved via laser line scanning. In this model, a Bezier function is added in the surface edge to provide continuity G1 and interpolation. Preserving these surface properties via network, the model accuracy and object representation are improved. Also, the surface model reduces operations and memory size to generate the object surface. This is because the model is implemented with fewer mathematical terms than the traditional models. The surface model is defined by means of network weights and the control points. The surface measurement is carried out by a Bezier network via line position to avoid external measurement errors. Thus, the computational model generates the object shape with high accuracy. This is because the network interpolates all points of the physical object. The contribution of the proposed technique is corroborated by an evaluation based on interpolation, continuity, memory size, and speed of the traditional models. The evaluation shows evidences of the viability of the proposed network.

Paper Details

Date Published: 25 April 2014
PDF: 14 pages
Opt. Eng. 53(9) 092003 doi: 10.1117/1.OE.53.9.092003
Published in: Optical Engineering Volume 53, Issue 9
Show Author Affiliations
J. Apolinar Muñoz-Rodriguez, Ctr. de Investigaciones en Óptica, A.C. (Mexico)
Francisco Carlos Mejía Mejia Alanis, Ctr. de Investigaciones en Óptica, A.C. (Mexico)

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