A Method to Determine the Coefficients in B-spline Interpolation

نویسندگان

  • Liliana Mâţiu-Iovan
  • Flaviu Mihai Frigură-Iliasa
  • Doru Vătău
چکیده

In this paper it is presented another method to determine the coefficients in B-spline interpolation. The problem is resolved in the context of generalized spline interpolation. To determine the coefficients from the input samples is first step for performing the interpolation. The operation is done by using also the values of the second derivative for the input signal. The coefficients are used to perform the signal reconstruction and interpolation by a factor m=2. The algorithms are tested on several known signals. The practical results are discussed at the end.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

SOLVING INTEGRO-DIFFERENTIAL EQUATION BY USING B- SPLINE INTERPOLATION

In this paper a numerical technique based on the B-spline method is presented for the solution of Fredholm integro-differential equations. To illustrate the efficiency of the method some examples are introduced and the results are compared with the exact solution.  

متن کامل

Convergence of Integro Quartic and Sextic B-Spline interpolation

In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is ...

متن کامل

Piecewise cubic interpolation of fuzzy data based on B-spline basis functions

In this paper fuzzy piecewise cubic interpolation is constructed for fuzzy data based on B-spline basis functions. We add two new additional conditions which guarantee uniqueness of fuzzy B-spline interpolation.Other conditions are imposed on the interpolation data to guarantee that the interpolation function to be a well-defined fuzzy function. Finally some examples are given to illustrate the...

متن کامل

INTERPOLATION BY HYPERBOLIC B-SPLINE FUNCTIONS

In this paper we present a new kind of B-splines, called hyperbolic B-splines generated over the space spanned by hyperbolic functions and we use it to interpolate an arbitrary function on a set of points. Numerical tests for illustrating hyperbolic B-spline are presented.

متن کامل

Validation of summer temperature interpolation methods in northeastern Iran

  The basis of climatic data is measurements taken at a predetermined chronological order at air monitoring stations, so all measured values ​​of climatic elements can only be attributed to the point of measurement. Therefore, different interpolation methods can help a lot in estimating climate data in different places. The study area in this study is northeastern Iran, including the provinces...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007