Fitting an ellipse to given data points is a common optimization task in computer vision problems. However, the possibility of incorporating the prior constraint "the ellipse's center is located on a given line" into the optimization algorithm has not been examined so far. This problem arises, for example, by fitting an ellipse to data points representing the path of the image positions of an adhesion inside a rotating vessel whose position of the rotational axis in the image is known. Our new method makes use of a constrained algebraic cost function with the incorporated "ellipse center on given line"-prior condition in a global convergent onedimensional optimization approach. Further advantages of the algorithm are computational efficiency and numerical stability.
The bioliq process was developed at the Karlsruhe Institute of Technology (KIT) for the production of synthetic fuels from dry biomass residues. Biofuels of high quality are produced sustainably in various process steps. This multistage process not only considers the necessity for decentralized supply of the biomass, but also the necessity for a large centralized fuel synthesis that benefits from economy of scale. The entire process chain of pyrolysis, gasification, gas cleaning, and synthesis is operated on a pilot scale at KIT. The high-pressure entrained-flow gasifier converts the biomass, pretreated in a fast pyrolysis step, into a synthesis gas for the production of gasoline in the subsequent synthesis step. The first experimental results from the pilot plant are presented in this paper.
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