In this paper, we present an information entropybased viewpoint-planning approach for reconstruction of freeform surfaces of three-dimensional objects. To achieve the reconstruction, the object is first sliced into a series of cross section curves, with each curve to be reconstructed by a closed B-spline curve. In the framework of Bayesian statistics, we propose an improved Bayesian information criterion (BIC) for determining the B-spline model complexity. Then, we analyze the uncertainty of the model using entropy as the measurement. Based on this analysis, we predict the information gain for each cross section curve for the next measurement. After predicting the information gain of each curve, we obtain the information change for all the B-spline models. This information gain is then mapped into the view space. The viewpoint that contains maximal information gain about the object is selected as the next best view. Experimental results show successful implementation of our view planning method for digitization and reconstruction of freeform objects.

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In this paper we present an uncertainty-driven viewpoint planning approach for measwement and digitalization of free form 3D objects. The object surface is first decomposed into a number of cross section curves, and each curve is reconstructed by a closed B-spline curve. Then, we analyze the uncertainty of the B-spline model using entropy as the measurement of uncertainty of the Bspline model. Based on this, we predict the information gain for each cross section curve for candidate views. After predicting the information gain of all the B-spline models, we can map the information gain of these Bspline models into the view space. The viewpoint that contains maximal information gain about the object is selected as the Next Best View. Experimental results are given in the digitization and reconstruction of freeform objects using our view planning method.

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