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Item type:Publication, Access status: without files , Estimation of aggregation kernels based on Laurent polynomial approximationThe dynamics of particulate processes can be described by population balance equations which are governed by the phenomena of growth, nucleation, aggregation and breakage. Estimating the kinetics of the latter phenomena is a major challenge particularly for particle aggregation because first principle models are rarely available and the kernel estimation from measured population density data constitutes an ill-conditioned problem. In this work we demonstrate the estimation of aggregation kernels from experimental data using an inverse problem approach. This approach is based on the approximation of the aggregation kernel by use of Laurent polynomials. We show that the aggregation kernel can be well estimated from in silico data and that the estimation results are robust against substantial measurement noise. The method is demonstrated for three different aggregation kernels. Good agreement between true and estimated kernels was found in all investigated cases.Publicationtype: Journal Article143 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , Image-based analytical crystal shape computation exemplified for potassium dihydrogen phosphate (KDP)(2016-01-12); ; The evolution of the shape of growing crystals is a process that depends on various factors including crystalline material and process conditions. Toward the objective to control not only the size of crystals but also their shape, it is necessary to observe its evolution process as a basis for understanding and modeling the underlying growth kinetics. Online microscopy provides 2D projections of 3D crystal shapes. In this paper, we present a technique to reconstruct the original 3D shapes from measured 2D projections of KDP crystals. The algorithm requires the projection to be bounded by a convex polygon with six or eight vertices. Numerical results are presented both for synthetic data as well as for experimental data. They show a good agreement between true and estimated values both for highly accurate as well as perturbed projections.Publicationtype: Journal Article93