In this paper, we compare a triangle based spectral element method (SEM) with the classical quadrangle based SEM and with a standard spectral method. For the sake of completeness, the triangle-SEM, making use of the Fekete points of the triangle, is first revisited. The requirement of a highly accurate quadrature rule is particularly emphasized. Then it is shown that the convergence properties ...

PASCAL-S is a dataset built using the validation set of the PASCAL VOC 2010 segmentation challenge. It contains 850 images with the ground truth labeled by 12 subjects. We threshold the masks at 0.5 to obtain binary masks as suggested in [4]. The SOD dataset contains 300 images and it was originally designed for image segmentation. Many images in this dataset have multiple salient objects with ...

In this chapter we will be investigating the intricacies of a seemingly innocuous mathematical object Pascal’s Triangle. After a brief refresher of our understanding of the triangle, we will delve into Cellular Automata as a method of building patterns, and then relate this to a specific pattern within Pascal’s Triangle. Then we shall investigate specific divisibility identities that can aid in...

PURPOSE To evaluate the effect of pattern scan laser (PASCAL) photocoagulation on peripapillary retinal nerve fiber layer (RNFL) thickness, central macular thickness (CMT), and optic nerve morphology in patients with diabetic retinopathy. METHODS Subjects included 35 eyes for the PASCAL group and 49 eyes for a control group. Peripapillary RNFL thickness, cup-disc area ratio and CMT were measu...

louis hubert farabeuf was born in bannost (sein-et-marne) on may 6th 1841 and died in beton-bazoche (aisne) in august 1910. he was professor and director of the anatomical department of the faculty of medicine in paris until 1878. in 1879, he founded the school of practical studies in paris, which contributed to anatomical studies. farabeuf designed many surgical procedures. his manual of opera...