Abstract

To seek better methods of measurement and more accurate model of reconstruction in the field of reverse engineering has been the focus of researchers. Based on this, a new method of adaptive measurement, real-time reconstruction, and online evaluation of free-form surface was presented in this paper. The coordinates and vectors of the prediction points are calculated according to a Bézier curve which is fitted by measured points. Final measured point cloud distribution is in agreement with the geometric characteristics of the free-form surfaces. Fitting the point cloud to a surface model by the nonuniform B-spline method, extracting some check points from the surface models based on grids and a feature on the surface, review the location of these check points on the surface with CMM and evaluate the model, and then update the surface model to meet the accuracy. Integrated measurement, reconstruction, and evaluation, with the closed-loop reverse process, established an accurate model. The results of example show that the measuring points are distributed over the surface according to curvature, and the reconstruction model can be completely expressed with micron level. Meanwhile, measurement, reconstruction and evaluation are integrated in forms of closed-loop reverse system.

Highlights

  • Free-form curves change freely in complex form, not like the law curve which can be described by the analytic functions

  • The current reverse of products can be able to get the CAD model after data collection, data processing, and model reconstruction. These processes are sequentially performed from data acquisition to model reconstruction in the openloop state, which makes data collection error be always present in the whole process of reverse engineering and be passed to the final CAD model [3, 4]

  • If the error exceeds the threshold, the actual measured value of the check points will be added to old point cloud, fitting model and checking again and updating fitted model until it meets the accuracy requirements

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Summary

Introduction

Free-form curves change freely in complex form, not like the law curve which can be described by the analytic functions. If the error exceeds the threshold (the threshold is set according to the required accuracy), the actual measured value of the check points will be added to old point cloud, fitting model and checking again and updating fitted model until it meets the accuracy requirements. This method can reduce the error of data collected from the source and the error of reconstruction model and reverse free-form surfaces with high-precision and high efficiency

Free-Form Surfaces Reverse Based on the Closed-Loop Theory
Experimental Results
Evaluation Yes
Conclusions
Conflict of Interests
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