IEEE Trans Image Process - Parametric polytope reconstruction, an application to crystal shape estimation.

Tópicos

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Resumo

In situ imaging techniques are a promising direction for monitoring the distribution of crystal sizes and shapes during a crystallization process. Nevertheless, no tractable method yet exists for estimating complex crystal shapes. In this paper, an in situ imaging setup is presented and a novel algorithm for crystal shape estimation from a pair of images is presented. It is shown that such a shape estimation problem can be turned into parametric polytope reconstruction from projections. Based on results in polyhedral geometry, it is demonstrated that an accurate estimate of the crystal shape can be computed by solving a nonlinear least-squares problem built from samples in images and a prior model of the crystal. Effectiveness of the approach is proven on artificial and real images. Results show that very accurate estimations of crystal shapes can be obtained from well-chosen data points sampled on images.

Resumo Limpo

situ imag techniqu promis direct monitor distribut crystal size shape crystal process nevertheless tractabl method yet exist estim complex crystal shape paper situ imag setup present novel algorithm crystal shape estim pair imag present shown shape estim problem can turn parametr polytop reconstruct project base result polyhedr geometri demonstr accur estim crystal shape can comput solv nonlinear leastsquar problem built sampl imag prior model crystal effect approach proven artifici real imag result show accur estim crystal shape can obtain wellchosen data point sampl imag

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