Spline Approximation, Part 2: From Polynomials in the Monomial Basis to B-splines—A Derivation
In a series of three articles, spline approximation is presented from a geodetic point of view. In part 1, an introduction to spline approximation of 2D curves was given and the basic methodology of spline approximation was demonstrated using splines ...
Nikolaj Ezhov +2 more
doaj +3 more sources
Recursive B-spline approximation using the Kalman filter
This paper proposes a novel recursive B-spline approximation (RBA) algorithm which approximates an unbounded number of data points with a B-spline function and achieves lower computational effort compared with previous algorithms.
Jens Jauch +3 more
doaj +3 more sources
USING SPLINE FUNCTIONS FOR THE SUBSTANTIATION OF TAX POLICIES BY LOCAL AUTHORITIES [PDF]
The paper aims to approach innovative financial instruments for the management of public resources. In the category of these innovative tools have been included polynomial spline functions used for budgetary sizing in the substantiating of fiscal and ...
Otgon Cristian, Pop Razvan, Bolos Marcel
doaj +2 more sources
SURFACE APPROXIMATION OF COASTAL REGIONS: LR B-SPLINE FOR DETECTION OF DEFORMATION PATTERN [PDF]
Geospatial data acquisition of terrains produces huge, noisy and scattered point clouds. An efficient use of the acquired data requires structured and compact data representations. Working directly in a point cloud is often not appealing.
G. Kermarrec, V. Skytt, T. Dokken
doaj +1 more source
Approximation by Conic Splines [PDF]
We show that the complexity of a parabolic or conic spline approximating a sufficiently smooth curve with non-vanishing curvature to within Hausdorff distance $\varepsilon$ is $c_1\varepsilon^{-\frac{1}{4}} + O(1)$, if the spline consists of parabolic arcs, and $c_2\varepsilon^{-\frac{1}{5}} + O(1)$, if it is composed of general conic arcs of varying ...
Sunayana Ghosh +2 more
openaire +3 more sources
Differentiable Spline Approximations
9 pages, accepted in Neurips ...
Minsu Cho +8 more
openaire +3 more sources
Optimization of spline parameters in approximation of multivalued functions
Objectives. Methods for spline approximation of a sequence of points in a plane are increasingly used in various disciplines. A spline is defined as a single-valued function consisting of a known number of repeating elements, of which the most widely ...
D. A. Karpov, V. I. Struchenkov
doaj +1 more source
Spline approximation of multivalued functions in linear structures routing
Objectives. The theory and methods of spline approximation of plane curves given by a sequence of points are currently undergoing rapid development.
D. A. Karpov, V. I. Struchenkov
doaj +1 more source
On the approximation of bounded functions by trigonometric polynomials in Hausdorff metric [PDF]
The article discusses a method for constructing a spline function to obtain estimates that are exact in order to approximate bounded functions by trigonometric polynomials in the Hausdorff metric.
Sadekova, Ekaterina H.
doaj +1 more source
Convergence Analysis of Cubic Spline Function with Fractional Degree and Applications [PDF]
In this paper, a fractional degree cubic spline scheme is proposed and analyzed for fractional order with the multi-term Riemann–Liouvile (R–L) derivatives. For the integral and fractional differential equations, we handle fractional continuity equations
Twana Hidayat +2 more
doaj +1 more source

