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Sample data of Douglas-Peucker algorithm parameter and certain attributes related to simplification quality is obtained by iteration method of simplification algorithm, Functions between threshold with line length, point number, and running time are get by curve fit, Through analyzing curvature of function between threshold with point number, function maximum curvature is confirmed and acts as opt...Show More
This paper describes a curve negotiation “behavior” that can be used-within subsumption architectures - to produce artificial agents with the ability to negotiate curves in a humanlike way. This may be used to implement functions spanning different levels of automation, from assistance (curve warning) to automated (curve speed control). This paper gives the following: (1) a summary of related work...Show More
In this paper, evolutionary algorithm is applied to the process of B-Spline curve fitting, and the algorithm mechanism of fitting process is constructed according to the fundamental principle of evolutionary algorithm. The control points obtained by the known points of the curve are divided into several gene populations. Every control point is used as the gene of the gene population, and the value...Show More
A NURBS curve fitting algorithm based on ACO algorithm is proposed for tool path generation, which takes the sum of the squares of the deviations between the tool points and the fitted curve as the objective function. Firstly, discretizes the data points by using the isoparametric method. Secondly, the curvature extrema and inverse curvature points are found out through the adaptive feature point ...Show More
In this paper we present a method for fractional time optimal control problems in terms of Caputo fractional derivatives. The studies up to now are about systems in terms of Riemann-Liouville fractional derivatives. But in this paper we investigated Caputo fractional systems. Firstly, by utilizing matrix approach method to discrete fractional derivatives, fractional Caputo derivative is solved. Th...Show More
The Tate pairing computation consists of two parts: Miller step and final exponentiation step. In this paper, we investigate the structure of the final exponentiation step. Consider an order r subgroup of an elliptic curve defined over Fq with embedding degree k. The final exponentiation in the Tate pairing is an exponentiation of an element in Fqk by (qk-1)/r . The hardest part of this computatio...Show More
A pairing is a bilinear map from two rational points on an elliptic curve to an element on a finite field. Pairing is necessary to construct the next generation cryptography including ID-based encryption, functional encryption etc. Many researchers have studied efficiency improvement for pairing computations to make it practical. Several pairing computation methods have been proposed and an optima...Show More
Since Edwards curves were introduced to elliptic curve cryptography by Bernstein and Lange in 2007, they have received a lot of attention due to their very fast group law operation. Pairing computation on such curves is slightly slower than on Weierstrass curves. However, in some pairing-based cryptosystems, they might require a number of scalar multiplications which is time-consuming operation an...Show More
The Ate pairing can be computed efficiently on ordinary elliptic curves with small value of the trace of Frobenius t. The Ate pairing generalizes the Ate pairing, and can possibly shorten the Miller loop to be as small as r 1/φ(k) on some special pairing-friendly curves with large value of Frobenius t. However, not all pairing-friendly curves have this property. In this paper, we generalize the At...Show More
Fast movement along a predefined path is important for many robot applications, especially in cluster tool robots, requires utilization of the maximum allowable torque range. Robot running along the time-optimal path brings many benefits such as higher productivity. In this paper, moving a delicate object from an initial point to a specified location along a predefined path within the minimum time...Show More
Key pairing and enciphering heuristics must be free from complexity whereas amount of confidentiality directs the adaptability of encryption and decryption scheme because an extensive ciphertext requires extra space complexity and more communication time. Fast and secure authenticators are present in the literature. As compared to RSA, an elliptic curve in secure paring using smallest size of key ...Show More
An inverter topology for high power applications that seems to be gaining interest lately is the modular structured multilevel inverter. (MSMI). The switching frequency constraint in a MSMI with high isolated DC voltages calls for a low switching frequency modulator such as the optimal PWM switching strategies. This paper presents a different approach in controlling a MSMI output voltage based on ...Show More
Because of the difficulty of calculating switching angles, the values of the angles were achieved by using the CFT and Matlab . Cascaded multilevel inverter was adopted in the structure of the main circuit in order to implement the multiple-phase shifting and meet the need of using the high voltage and large power equipments. In this paper a method to selected harmonic elimination(SHE) choosing in...Show More
The theory of optimal control is introduced as a new approach for handling curve fitting and design problems. Optimal control provides a uniform formal framework for stating and solving multiple problems in computer-aided geometric design (CAGD). As a result, new classes of curves are defined and known problems are analyzed from a new viewpoint. Often, families of curves which are defined by a min...Show More
This paper presents a scalar multiplication method for Koblitz curves. Koblitz curves are elliptic curves where the scalar multiplication can be computed in a much faster way than with other curves, allowing designs and implementations without arithmetic coprocessor. The new method is as fast as the fastest known techniques on Koblitz curves but requires much less memory; therefore, it is of parti...Show More
In this paper, we study a manufacturing system with downward substitution in sales, i.e., selling superior products as inferior ones when the demand for the latter cannot be met immediately, in order to reduce the backlog cost. However, downward substitution in sales also causes profit loss. Therefore, controlling a manufacturing system with downward substitution in sales in order to minimize tota...Show More
Most existing query processing algorithms for wireless sensor networks (WSNs) can only deal with discrete values. However, since the monitored environment always changes continuously with time, discrete values cannot describe the environment accurately and, hence, may not satisfy a variety of query requirements, such as the queries of the maximal, minimal, and inflection points. It is, therefore, ...Show More
Composition of algorithms in view of providing residential customers with a smart means of optimal power source and distribution management is considered in this paper. By data survey and statistical algorithm, load profiles of conventional apartments in a Nigerian setting are modelled. Thereafter, an algorithm for optimal selection of a source, out of three specified for a residential apartment, ...Show More
A model following problem referring to a linear time invariant system with time variant disturbances is studied. An adequate behaviour of the system is achieved by imposing its dynamics to be near to a chosen model. The proposed algorithm uses results from linear quadratic optimal control theory. Simulation tests referring to the discussed problem are presented.Show More
In this paper, the existed problems about optimal torque control of rigid spacecraft attitude maneuver with constraints are discussed. The pseudospectral method is adopted to solve the problem which has torque constraint or state constraints, and the simulation analysis on the problem in the case of unconstrained or the torque constraint or state constraints is made. The simulation results show th...Show More
Based on the structure of networked control systems, this paper employs a linear mathematic model with random delay and packet losses. The stochastic optimal control strategy of this NCS model is analyzed to guarantee the stability of system under the influence of random delay and packet losses. The effectiveness of this algorithm is verified by a numerical simulation of a position servo system. T...Show More
The B-spline curve is one of the most famous curves in computer graphics, computational geometry and CAGD. Developing more convenient techniques for designing and modifying B-spline curves is an important problem, and is also an important research issue. In this study, the shape modification of B-spline curves by geometric constraints is presented. A new method based on changing the control points...Show More
In the proposed work, an algorithm for constructing the smooth trajectory of one UAV in a three-dimensional space is developed. To construct and approximate the trajectory, the extended Bernstein polynomials with the Pythagorean hodograph are used. The provided method uses an RRT* algorithm for path generation, and spatial Bezier curves for further trajectory smoothing. The proposed method makes U...Show More
An optimal curve fitting technique has been developed which is meant to automatically provide a fit to any ordered digital data in a plane. A more flexible class of rational cubic functions is the basis of this technique. This class of functions involves two control parameters, which help to produce an optimal curve fit. The curve technique has used various ideas for curve design. These ideas incl...Show More
In this paper, automated omnidirectional touch probe (ODTP) including adaptive tuning of the complex contour curve with optimal interpolation and motion planning based on a hybrid multiaxis robot (HMAR) with dual drive gantry-type machine (DDGM) are presented. It is called an “omnidirectional” because the 6-degrees of freedom ODTP in tool center point mode can always maintain normal direction towa...Show More