Spline Approximation, Part 2: From Polynomials in the Monomial Basis to B-splines—A Derivation
Mathematics, 2021 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
Engineering Science and Technology, an International Journal, 2017 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
Total Least Squares Spline Approximation
Mathematics, 2019 Spline approximation, using both values y i and x i as observations, is of vital importance for engineering geodesy, e.g., for approximation of profiles measured with terrestrial laser scanners, because it enables the consideration of
Frank Neitzel +2 more
doaj +3 more sources
On the Sensitivity of the Parameters of the Intensity-Based Stochastic Model for Terrestrial Laser Scanner. Case Study: B-Spline Approximation [PDF]
Sensors, 2018 Gael Kermarrec +2 more
exaly +2 more sources
SURFACE APPROXIMATION OF COASTAL REGIONS: LR B-SPLINE FOR DETECTION OF DEFORMATION PATTERN [PDF]
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2022 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]
Mathematics in Computer Science, 2007 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
CoRR, 2021 9 pages, accepted in Neurips ...
Minsu Cho +8 more
openaire +3 more sources
Optimization of spline parameters in approximation of multivalued functions
Российский технологический журнал, 2023 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
Российский технологический журнал, 2022 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]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 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