Algebraic and Numerical Techniques for Offsets and Blends
نویسندگان
چکیده
We examine some techniques and results rrom algebraic geometry, and assess how and to what e'xtent. fhey are oT use in computer-aided-geometric deSi~Gl't Focusing on offset and blending surface construction, we illustrate how to apply and assess algebraic methods_ We also examine some numerical techniques for interrogating offsets and blending surfaces constructed using the algebraic approach.
منابع مشابه
Numerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum
In this paper, we solve higher index differential algebraic equations (DAEs) by transforming them into integral algebraic equations (IAEs). We apply collocation methods on continuous piece-wise polynomials space to solve the obtained higher index IAEs. The efficiency of the given method is improved by using a recursive formula for computing the integral part. Finally, we apply the obtained algo...
متن کاملALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONS
Here a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and develop a posteriori error estimate for the recently proposed method of Brunner for these problems (the implicitly linear collocation method)...
متن کاملAnalytical and Verified Numerical Results Concerning Interval Continuous-time Algebraic Riccati Equations
This paper focuses on studying the interval continuous-time algebraic Riccati equation A∗X + XA + Q − XGX = 0, both from the theoretical aspects and the computational ones. In theoretical parts, we show that Shary’s results for interval linear systems can only be partially generalized to this interval Riccati matrix equation. We then derive an efficient technique for enclosing the united stable...
متن کاملNumerical solution of Voltra algebraic integral equations by Taylor expansion method
Algebraic integral equations is a special category of Volterra integral equations system, that has many applications in physics and engineering. The principal aim of this paper is to serve the numerical solution of an integral algebraic equation by using the Taylor expansion method. In this method, using the Taylor expansion of the unknown function, the algebraic integral equation system becom...
متن کاملCompatibilization of polycarbonate/poly (ethylene terephthalate) blends by addition of their transesterification product
In this study, poly carbonate (PC) and poly (ethylene terephthalate) (PET) were reactive melt-blended under two different conditions to produce PC/PET copolymers. For each condition, samples were taken at specified mixing times representative a specific structure of copolymers and each one employed to physically compatibilize a PC/PET blend with a fixed composition. Reactive blending and copoly...
متن کامل