A new method for three dimensional cubic bezier surface reconstruction based on matching the surface framework

Abstract EN

Numerous efforts have been directed to convert the physical model (in-hand model) to a computer model.

This work is dedicated for the cubic Bezier surface reconstruction based on finding the positions of the sixteen control points that form the surface of the product.

The idea is based on inverse progressive search (IPS) method rather than the approximate surface fitting method already used in previous researches.

The presented method is based on three successive steps:(a) converting the continuous coordinate measuring machine (CMM) data to discrete data,(b) estimating the positions of the 12 boundary control points and (c) estimating the positions of the 4 intermediate control points to generate the intended surface.

To show the feasibility of the suggested method two experimental examples are conducted.

The results show the validity and effectiveness of the method from the accuracy and computation time point of view.