Bivariate segment approximation and splines [PDF]
The problem to determine partitions of a given rectangle which are optimal for segment approximation (e.g., by bivariate piecewise polynomials) is investigated. We give criteria for optimal partitions and develop algorithms for computing optimal partitions of certain types.
Nürnberger, Günther +2 more
openaire +4 more sources
Smoothing under Diffeomorphic Constraints with Homeomorphic Splines [PDF]
In this paper we introduce a new class of diffeomorphic smoothers based on general spline smoothing techniques and on the use of some tools that have been recently developed in the context of image warping to compute smooth diffeomorphisms.
Gadat, Sébastien, Bigot, Jérémie
core +1 more source
Contour Detection of Mammogram Masses Using ChanVese Model and B-Spline Approximation
ChanVese model segmentation has been applied for contour detection of mass region in mammogram in our previous work. Available information of the desired object contour is used, in this paper, for B-spline approximation. The mass region boundary (contour)
Youssef Benyoussef +2 more
doaj +1 more source
Spline- and tensor-based signal reconstruction : from structure analysis to high-performance algorithms to multiplatform implementations and medical applications [PDF]
The problem of signal reconstruction is of fundamental practical value for many applications associated with the field of signal and image processing.
Morozov, Oleksii
core +1 more source
Biquadratic Spline Approximations
We shall consider two kinds of spline approximations over a uniform mesh. The first of them is mid-point spline interpolation and the second is histospline approximation. Our methods don't need any knowledge of derivative values, that is, end conditions are homogeneous ones dealing with function values.
Sakai, Manabu, Usmani, Riaz A.
openaire +2 more sources
Dual generalized B-spline functions and their applications in several approximation problems
A new construction method of dual generalized B-spline functions is presented in this paper. Due to the importance of generalized B-splines, several interesting applications of these dual functions in Computer Aided Manufacturing are also given.
Li ZHANG +3 more
doaj +1 more source
APPLICATION OF B-SPLINE METHOD IN SURFACE FITTING PROBLEM [PDF]
Fitting a smooth surface on irregular data is a problem in many applications of data analysis. Spline polynomials in different orders have been used for interpolation and approximation in one or two-dimensional space in many researches. These polynomials
F. Esmaeili +3 more
doaj +1 more source
SPLINE APPROXIMATION FOR ZADEH'S EXTENSIONS
In this paper we show an approximation for [Formula: see text], where u is a fuzzy interval and [Formula: see text] is obtained from a continuous function f applying the Zadeh's extension principle. In this process, we used a decomposition for u and the linear spline function for the approximation of f.
Yurilev Chalco-Cano +3 more
openaire +5 more sources
Approximation procedures for data acquisition in testing systems [PDF]
This paper deals with the results of spline approximation functions applied to periodical experimental data and its comparison with polynomial approximation functions.
N. Secrieru
doaj
Thin plate splines for transfinite interpolation at concentric circles
We propose a new method for constructing a polyspline on annuli, i.e. a C 2 surface on ℝ2 \ {0}, which is piecewise biharmonic on annuli centered at 0 and interpolates smooth data at all interface circles.
Aurelian Bejancu
doaj +1 more source

