HOPI: A Novel High Order Parametric Interpolation in 2D
نویسندگان
چکیده
Contributions Parametric representation We come out a new smooth and convergent interpolation method called HOPI which exploits the derivative information based on Taylor Theorem. Our solution separates the derivative information (eg, normal) from neighborhood providing more freedom for user control and capability to represent very complicate curve/surface. The derivative information could be estimated from neighboring cloud or specified by user. So it can be used in both curve/surface design and curve/surface representation.
منابع مشابه
T-spline Parameterization of 2D Geometries Based on the Meccano Method with a New T-mesh Optimization Algorithm
We present a new method, based on the idea of the meccano method and a novel T-mesh optimization procedure, to construct a T-spline parameterization of 2D geometries for the application of isogeometric analysis. The proposed method only demands a boundary representation of the geometry as input data. The algorithm obtains, as a result, high quality parametric transformation between 2D objects a...
متن کاملAnalysis of High-order Approximations by Spectral Interpolation Applied to One- and Two-dimensional Finite Element Method
The implementation of high-order (spectral) approximations associated with FEM is an approach to overcome the difficulties encountered in the numerical analysis of complex problems. This paper proposes the use of the spectral finite element method, originally developed for computational fluid dynamics problems, to achieve improved solutions for these types of problems. Here, the interpolation n...
متن کاملA Novel Method for Impedance Calculation of Distance Relays Using Third Order Interpolation
All algorithms for impedance calculation use an analog-to-digital converter. The high accuracy of the impedance seen by a distance relay is an important factor in the correct isolation of the faulty part of power systems. To achieve this, a novel technique based on third order interpolation is used in this paper. According to this technique, the times and the values of the obtained samples are...
متن کاملA Novel Method for Impedance Calculation of Distance Relays Using Third Order Interpolation
All algorithms for impedance calculation use an analog-to-digital converter. The high accuracy of the impedance seen by a distance relay is an important factor in the correct isolation of the faulty part of power systems. To achieve this, a novel
technique based on third order interpolation is used in this paper. According to this technique, the times and the values of the obtained samples a...
متن کاملA novel modification of decouple scaled boundary finite element method in fracture mechanics problems
In fracture mechanics and failure analysis, cracked media energy and consequently stress intensity factors (SIFs) play a crucial and significant role. Based on linear elastic fracture mechanics (LEFM), the SIFs and energy of cracked media may be estimated. This study presents the novel modification of decoupled scaled boundary finite element method (DSBFEM) to model cracked media. In this metho...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006