This work presents the first high-resolution nanoprofilometry study consisting of nanoscale resolution surface profile measurements and high-quality visualization of a the free surface of a liquid crystal-air boundary. The capabilities of this new experimental method, as applied for liquid crystal free boundaries, are discussed. The formation of focal conic domain structures at the smectic-A-ai...

A distributed E-Business System based on conic curve is proposed. This scheme is composed of two parts, constructing license and validating license. Because the security of license is determined by private key, not the arithmetic itself, user can not construct new license by given license and the public key as long as the private key is not leaked. Since encoding and decoding over conic are eas...

The Conic Benchmark Library (CBLIB 2014) is a collection of more than a hundred conic optimization instances under a free and open license policy. It is the first extensive benchmark library for the advancing field of conic mixed-integer and continuous optimization, which is already supported by all major commercial solvers and spans a wide range of industrial applications. The library addresse...

NIE, TIANTIAN. Quadratic Programming with Discrete Variables. (Under the direction of Dr. Shu-Cherng Fang.) In this dissertation, we study the quadratic programming problem with discrete variables (DQP). DQP is important in theory and practice, but the combination of the quadratic feature of the objective function and the discrete nature of the feasible domain makes it hard to solve. In this th...

People know and use conic sections for a long time. They observe these curves in many situations: the parabolic trajectory of a thrown stone, the circular waves when the stone falls in calm water, and the elliptical shadows of round objects during sunsets (see Fig. 1). Conic sections were and still are one of the most favorite objects of mathematical study and education. Students spend hours in...

Paracatadioptric sensors combine a parabolic shaped mirror and a camera inducing an orthographic projection. Such a configuration provides a wide field of view while keeping a single effective viewpoint. Previous work in central catadioptric sensors proved that a line projects into a conic curve and that three line images are enough to calibrate the system. However the estimation of the conic c...

The underlying model of distributed systems is that of loosely coupled components r running in parallel and communicating by message passing. Description, construction and evolution of these systems is facilitated by separating the system structure, as a set of components and their interconnections, from the functional description of individual component behaviour. Furthermore, component reuse ...

In this paper we study plane conic geometry, particularly different representations of geometric constructions and relations in plane conic geometry, with Cayley and bracket algebras. We propose three powerful simplification techniques for bracket computation involving conic points, and an algorithm for rational Cayley factorization in conic geometry. The factorization algorithm is not a genera...

It is not straightforward to find a new feasible solution when several conic constraints are added to a conic optimization problem. Examples of conic constraints include semidefinite constraints and second order cone constraints. In this paper, a method to slightly modify the constraints is proposed. Because of this modification, a simple procedure to generate strictly feasible points in both t...

An approach for reconstructing wireframe models of curvilinear objects from three orthographic views is discussed. Our main stress is on the method of generating three-dimensional (3D) conic edges from twodimensional (2D) projection conic curves, which is the pivotal work for reconstructing curvilinear objects from three orthographic views. In order to generate 3D conic edges, a five-point meth...