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This study is a transformation of the method of a former work of the same authors for selecting the optimal fuzzy implication for inference making, into a generalized algorithm which provides with two equivalent mechanisms for the implication selection. An example involving both variations of the method is included to illustrate each process. The results obtained verify that both of the techniques produce the same outcome using the same data.

Analytical algorithms to compute flux distribution on central receiver are considered as a faster alternative to ray tracing. They have quite too many modifications, with HFLCAL and UNIZAR being the most recognized and verified. In this work, a generalized algorithm is presented which is valid for arbitrary sun shape of radial symmetry. Heliostat mirrors can have a nonrectangular profile, and the effects of shading and blocking, strong defocusing and astigmatism can be taken into account. The algorithm is suitable for parallel computing and can benefit from hardware acceleration of polygon texturing.

In this work, we investigate methods for de-noising of tomographic differential phase contrast and absorption contrast images. We exploit the fact that in grating-based differential phase contrast imaging (DPCI), first, several images are acquired simultaneously in exactly the same geometry, and second, these different images can show very different contrast-to-noise-ratios. These features of grating-based DPCI are used to generalize the conventional bilateral filter. Experiments using simulations show a superior de-noising performance of the generalized algorithm compared with the conventional one.