In this paper, we first review local counting methods for perimeter estimation of piecewise smooth binary figures on square, hexagonal, and triangular grids. We verify that better perimeter estimates, using local counting algorithms, can be obtained using hexagonal or triangular grids. We then compare surface area estimates using local counting techniques for binary three-dimensional volumes un...

Tensor field visualization is a challenging task due in part to the multi-variate nature of individual tensor samples. Glyphs convey tensor variables by mapping the tensor eigenvectors and eigenvalues to the orientation and shape of a geometric primitive, such as a cuboid or ellipsoid. Though widespread, cuboids and ellipsoids have problems of asymmetry and visual ambiguity. Cuboids can display...

In order to solve various security risks faced by image privacy protection, we propose a 3D cuboid encryption scheme based on message-encoded controlled alternate quantum walks. Firstly, calculated the initial parameters of system and performed one-dimensional walk generate probability distribution sequence. Secondly, encoded sequence into quaternary message using multiple sets messages control...

In previous works some polynomial time algorithms were presented for special cases of the 3-Dimensional VLSI Routing problem. Solutions were given to problems when all the terminals are either on a single face (SALP Single Active Layer Problem) or on two opposite faces (3DCRP 3-Dimensional Channel Routing Problem) or on two adjacent faces (3DΓRP 3-Dimensional Gamma Routing Problem) of a rectang...

We present an empirical mixing model for rectangular cuboid metal inclusions in a host dielectric, suitable for replacing the detailed structure of a layer of on-chip interconnects with a homogeneous dielectric slab. Such an approximation is required to facilitate the accurate and efficient package-level electromagnetic modelling of complicated miniaturised systems, such as System-inPackage. Wi...

An effective approach to reduce the patch size in rectangular patch microstrip antennas is presented. The proposed approach is based on inductively loading the patch using a cuboid ridge. A theoretical background of the approach using the transmission line model has been provided. A prototype of the proposed antenna is fabricated and measured. The results, advantages and limitations of the prop...

Differential evolution is a powerful and robust method to solve the Multi-Objective Problems in MOEAs. To enhance the differential evolution for MOPs, we focus on two aspects: the population initialization and acceptance rule. In this paper, we present a new differential evolution called DEMO DV , it mainly include: (1) the first population is constructed by statistical method: Uniform Design, ...

Purpose Previous reports have demonstrated diminished size of the hindfoot bones in patients with idiopathic clubfoot deformity. However, no study has quantified the percentage of hypoplasia as a function of early growth, during the brace phase of Ponseti treatment. Methods We measured the dimensions of ossified structures on radiographs in patients with unilateral Ponseti-treated clubfeet to...

Different numerical approaches for the stray-field calculation in the context of micromagnetic simulations are investigated. We compare finite difference based fast Fourier transform methods, tensor-grid methods and the finite-element method with shell transformation in terms of computational complexity, storage requirements and accuracy tested on several benchmark problems. These methods can b...

The three-dimensional cuboids packing is NP-hard and finds many applications in the transportation industry. The problem is to pack a subset of cuboid boxes into a big cuboid container such that the total volume of the packed boxes is maximized. The boxes have no orientation constraints, i.e. they can be rotated by 90◦ in any direction. A new heuristic algorithm is presented that defines a conc...