This article presents a constrained optimization method, based on the duality theory, which does not need the gradients. The method is used to optimize superconducting devices. In order to reduce the computing effort, the initial optimization problem is divided into two coupled optimization problems. One manages the geometrical parameters, the other finds the best current densities for a given ...

A previously developed algorithmic method for identifying a geometric invariant of protein structures, termed geometrical core, is extended to the C(L) and C(H1) domains of immunoglobulin molecules. The method uses the matrix of C(alpha) - C(alpha) distances and does not require the usual superposition of structures. The result of applying the algorithm to 53 Immunoglobulin structures led to th...

This paper describes a method for suppressing spatial conflicts in cartographic generalization of isobathymetric lines. These lines are modeled by parametric curves. For that purpose, we review our preliminary works on the detection of intersections and examine the current methods used for line displacement. We focus on geometrical methods and on a cable network based method and propose a new s...

In this article we propose an original method for discrete surface smoothing. This method is based on a statistical estimation of the discrete tangent plane on the voxels of the discrete surface. A geometrical constraint is used to control the recognition of the tangent plane. The resulting surface representation allows us to get both smooth normal vectors of the surface and a smooth surface me...

In this article we propose an original reversible method for discrete surface smoothing. This method is based on a statistical estimation of the discrete tangent plane on the voxels of the discrete surface. A geometrical constraint is used to control the recognition of the tangent plane. The resulting surface representation allows us to get both smooth normal vectors of the surface and a smooth...

because of production process and constrains conditions, circular graphene sheet may be opposed to structural defect and pin hole, respectively. some of the defects and pin hole on a circular graphene sheet can be considered as an eccentric hole on the sheet. hence, analyzing behavior of circular graphene sheet with an eccentric hole is important. free vibration of an eccentric annular graphene...

In this research, geometrical structures of armchair single walled boron nitride nanotube (SWBNNT) and armchair single walled aluminum nitride nanotube (SWAlNNT) were optimized by Density Functional Theory (DFT) in the gas phase, both having the same length of 5 angstrom and n=9, m=9. B3LYP/6-31G* level of theory have been used to determine and compare electronic properties, n...

In this research, geometrical structures of armchair single walled boron nitride nanotube (SWBNNT) and armchair single walled aluminum nitride nanotube (SWAlNNT) were optimized by Density Functional Theory (DFT) in the gas phase, both having the same length of 5 angstrom and n=9, m=9. B3LYP/6-31G* level of theory have been used to determine and compare electronic properties, n...

Higher-order, large-domain electromagnetic simulations are presented based on the finite element method (FEM), method of moments (MoM), and physical optics (PO). The simulations combine higher order geometrical modeling and higher order field/current modeling, which is referred to as double-higher-order modeling. The examples demonstrate that accurate and efficient FEM, MoM, and PO simulations ...

Multi-scale geometrical and topological analyses of point clouds can reveal their rich structures. Because conformal alpha shapes of point clouds are hierarchical shapes under different mesh resolution or internal alpha values, their surface curvature estimations are one of the multi-scale geometrical analyses. We present a robust method for computing surface curvature of conformal alpha shapes...