We consider the disklikeness of the planar self-affine tile T generated by an integral expanding matrix A and a consecutive collinear digit set D = {0, v, 2v, · · · , (|q|−1)v} ⊂ Z2. Let f(x) = x2+px+q be the characteristic polynomial of A. We show that the tile T is disklike if and only if 2|p| ≤ |q+2|. Moreover, T is a hexagonal tile for all the cases except when p = 0, in which case T is a s...

The Pattern self-Assembly Tile set Synthesis (PATS) problem, which arises in the theory of structured DNA self-assembly, is to determine a set of coloured tiles that, starting from a bordering seed structure, self-assembles to a given rectangular colour pattern. The task of finding minimum-size tile sets is known to be NP-hard. We explore several complete and incomplete search techniques for fi...

This paper addresses a new method of detecting tile defects. The tile image is changed to binary image by using a float threshold. Using linear regression of binary data gives a measure for classifying the defective. In order to detect a defective tile the defined measure is compared against a threshold which is estimated adaptively through a learning scheme using 4-folded cross validation algo...

Three years ago a junior Fellow of tile Royal College of Surgeons asked me if actinomycosis ever affected bone, for (said he) lIe had been taught that it never did gain a foothold in that structure. I was surprised at tile question and still more disturbed at the erroneous teaciling, because from tile earliest years of our knowledge of actinomycosis it llas been well known that bone is Ilot exe...

Because mobile phones are omnipresent and equipped with displays, they are attractive platforms for rendering 3D images. However, because they are powered by batteries, a graphics accelerator for mobile phones should dissipate as little energy as possible. Since external memory accesses consume a significant amount of power, techniques that reduce the amount of external data traffic also reduce...

Abstract The Tile PreProcessor (TilePPr) is the core element of Calorimeter (TileCal) off-detector electronics for High-luminosity Large Hadron Collider (HL-LHC). TilePPr comprises FPGA-based boards to operate and read out TileCal on-detector electronics. Computer on Module (TileCoM) mezzanine embedded within carry three main functionalities. These include remote configuration FPGAs, interface ...