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Wyświetlanie 1-15 z 54
Tytuł:
Bandung City Rainfall Data Interpolation Using Two Types of Cubic Spline Interpolation
Autorzy:
Haq, Al Fataa Waliyyul
Achmad, Audi Luqmanul Hakim
Purwani, Sri
Powiązania:
https://bibliotekanauki.pl/articles/1193368.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Interpolation
natural cubic spline
not-a-knot cubic spline
Opis:
This study discusses the application of two types of cubic spline, namely natural cubic spline and not-a-knotcubic spline. The applications of both types of splines are regarding rainfall data. The rainfall data studied were the monthly rainfall data for the year 2018 and 2019 in Bandung City which was obtained from the Bandung City Central Statistics Agency. Interpolation and analysis were carried out on all data using Maple software. As a result, interpolation using natural cubic spline and not-a-knotcubic spline shows a smoother and less oscillating graph than interpolation using Piecewise Linear and Polynomial Interpolation.
Źródło:
World Scientific News; 2021, 155; 36-46
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Real-time interpolation of streaming data
Autorzy:
Dębski, Roman
Powiązania:
https://bibliotekanauki.pl/articles/1839246.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
streaming algorithm
online algorithm
spline interpolation
cubic Hermite spline
Opis:
One of the key elements of the real-time C 1 -continuous cubic spline interpolation of streaming data is an estimator of the first derivative of the interpolated function that is more accurate than those based on finite difference schemas. Two such greedy look-ahead heuristic estimators, based on the calculus of variations (denoted as MinBE and MinAJ2), are formally defined (in closed form), along with the corresponding cubic splines that they generate. They are then comparatively evaluated in a series of numerical experiments involving different types of performance measures. The presented results show that the cubic Hermite splines generated by heuristic MinAJ2 significantly outperformed those that were based on finite difference schemas in terms of all of the tested performance measures (including convergence). The proposed approach is quite general. It can be directly applied to streams of univariate functional data like time-series. Multi-dimensional curves that are defined parametrically (after splitting) can be handled as well. The streaming character of the algorithm means that it can also be useful in processing data sets that are too large to fit in the memory (e.g., edge computing devices, embedded time-series databases).
Źródło:
Computer Science; 2020, 21 (4); 513-532
1508-2806
2300-7036
Pojawia się w:
Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of Wavelet Decomposition Coefficients Transmission Systems Using Splines and Classical Types of Modulation
Autorzy:
Kutin, A. I.
Powiązania:
https://bibliotekanauki.pl/articles/309261.pdf
Data publikacji:
2015
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
multi-speed channels
spline-modulation
spline Savitzky-Golay filter
wavelet decomposition
Opis:
Wavelets are becoming increasingly used as a tool for the analysis of non-stationary data. To transmit the coefficients resulting from the signal decomposition traditionally their combination into a single data packet is used, without including unequal energy contribution of each factor and impact of the decomposition level. This paper analyzes (at different transmission speeds) the signals properties produced by classical modulation methods and spline modulation for wavelet coefficients transmission proposed by the author. For all signal types the additive Gaussian noise is used as a noise disturbance.
Źródło:
Journal of Telecommunications and Information Technology; 2015, 3; 25-31
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New Unconventional Processes of Plastic Forming of the Internal Toothing of Coupling Spline Sleeves
Autorzy:
Michalczyk, J.
Wiewiórowska, S.
Powiązania:
https://bibliotekanauki.pl/articles/351013.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
forging
extrusion
spline sleeves
Opis:
The article explores the possibility of using the authors’ three new methods of unconventional extrusion of deep hollows to be used for the manufacture of spline sleeves intended for internal toothing couplings. Two invention patents, PL206466 and PL224121, and one patent application, P.416772, were used for this purpose. Numerical computations were made in the Forge®3D program for the conceptual schemes of forming sleeves. The aim of those computations was to determine the extrusion forces and to compare them with the conventional indirect and direct extrusion methods. Then, on models based on the authors’ plastic forming schemes, numerical computations were made, from which the actual energy and force parameters were determined in the form of the relationship of extrusion force versus forming tool path. Also, the degree of fill of the passes, in which spline sleeve toothing is formed, was determined.
Źródło:
Archives of Metallurgy and Materials; 2020, 65, 1; 229-236
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the inversion of certain band matrices
Autorzy:
Neuman, E.
Powiązania:
https://bibliotekanauki.pl/articles/748559.pdf
Data publikacji:
1977
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
spline interpolation
matrix invers
eigenvalue problem
Opis:
Inversion of band matrices is the simplest, direct way of computing interpolating splines. On the other hand, when studying the convergence problems, the bounds of related inverse matrices are useful. This paper contains algorithms of inversion, based on LR decomposition, of tri- and five-diagonal matrices appearing in spline fitting problems. (In this case LR decomposition is possible and unique if one of the diagonals is fixed.) For example, inversion of a tri-diagonal matrix of dimension n requires 12n(3n+5) multiplications when the proposed algorithm is used. Some upper and lower bounds for elements of the inverse matrix are also given. Under certain additional assumptions the numerical stability is proved. MR0488663
Źródło:
Mathematica Applicanda; 1977, 5, 9
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimating the confidence interval of the regression coefficient of the blood sugar model through a multivariable linear spline with known variance
Autorzy:
Islamiyati, Anna
Raupong, Raupong
Kalondeng, Anisa
Sari, Ummi
Powiązania:
https://bibliotekanauki.pl/articles/2019723.pdf
Data publikacji:
2022-03-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
confidence interval
diabetes
known variance
spline
Opis:
Estimates from confidence intervals are more powerful than point estimates, because there are intervals for parameter values used to estimate populations. In relation to global conditions, involving issues such as type 2 diabetes mellitus, it is very difficult to make estimations limited to one point only. Therefore, in this article, we estimate confidence intervals in a truncated spline model for type 2 diabetes data. We use a non-parametric regression model through a multi-variable spline linear estimator. The use of the model results from the irregularity of the data, so it does not form a parametric pattern. Subsequently, we obtained the interval from beta parameter values for each predictor. Body mass index, HDL cholesterol, LDL cholesterol and triglycerides all have two regression coefficients at different intervals as the number of the found optimal knot points is one. This value is the interval for multivariable spline regression coefficients that can occur in a population of type 2 diabetes patients.
Źródło:
Statistics in Transition new series; 2022, 23, 1; 201-212
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determining the geometrical parameters of exploited rail track using approximating spline functions
Autorzy:
Lenda, G.
Powiązania:
https://bibliotekanauki.pl/articles/230517.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
regulacja torów
wykres krzywizny
funkcja spline
wyrównywanie
dokładność
railtrack adjustment
curvature graph
spline function
alignment
accuracy
Opis:
The process of railway track adjustment is a task which includes bringing, in geometrical terms, the actual track axis to the position ensuring safe and efficient traffic of rail vehicles. The initial calculation stage of this process is to determine approximately the limits of sections of different geometry, i.e. straight lines, arcs and transition curves. This allows to draw up a draft alignment design, which is subject to control the position relative to the current state. In practice, this type of a project rarely meets the requirements associated with the values of corrective alignments. Therefore, it becomes necessary to apply iterated correction of a solution in order to determine the final project, allowing to introduce minor corrections while maintaining the assumed parameters of the route. The degree of complexity of this process is defined by the quality of determining a preliminary draft alignment design. Delimitation of the sections for creation of creating such a design, is usually done by using the curvature diagram (InRail v8.7 Reference Guide [1], Jamka et al [2], Strach [3]), which is, however, sensitive to the misalignment of the track and measurement errors. In their paper Lenda and Strach [4] proposed a new method for creating curvature diagram, based on approximating spline function, theoretically allowing, inter alia, to reduce vulnerability to interference factors. In this study, the method to determine a preliminary draft alignment design for the track with severe overexploitation was used, and thus in the conditions adversely affecting the accuracy of the conducted readings. The results were compared to the ones obtained using classical curvature diagram. The obtained results indicate that the method allows to increase the readability of a curvature graph, which at considerable deregulation of a track takes an irregular shape, difficult to interpret. The method also favourably affects the accuracy of determining the initial parameters of the project, reducing the entire process of calculation.
Źródło:
Archives of Civil Engineering; 2014, 60, 3; 295-305
1230-2945
Pojawia się w:
Archives of Civil Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Separation Of Non-Periodic And Periodic 2D Profile Features Using B-Spline Functions
Autorzy:
Janecki, D.
Cedro, L.
Zwierzchowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/221820.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
profile filtering
B-spline functions
roundness
roughness
Opis:
The form, waviness and roughness components of a measured profile are separated by means of digital filters. The aim of analysis was to develop an algorithm for one-dimensional filtering of profiles using approximation by means of B-splines. The theory of B-spline functions introduced by Schoenberg and extended by Unser et al. was used. Unlike the spline filter proposed by Krystek, which is described in ISO standards, the algorithm does not take into account the bending energy of a filtered profile in the functional whose minimization is the principle of the filter. Appropriate smoothness of a filtered profile is achieved by selecting an appropriate distance between nodes of the spline function. In this paper, we determine the Fourier transforms of the filter impulse response at different impulse positions, with respect to the nodes. We show that the filter cutoff length is equal to half of the node-to-node distance. The inclination of the filter frequency characteristic in the transition band can be adjusted by selecting an appropriate degree of the B-spline function. The paper includes examples of separation of 2D roughness, as well as separation of form and waviness of roundness profiles.
Źródło:
Metrology and Measurement Systems; 2015, 22, 2; 289-302
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Prefiltering in Wavelet Analysis Applying Cubic B-Splines
Autorzy:
Rakowski, W.
Powiązania:
https://bibliotekanauki.pl/articles/226902.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
wavelet
scaling function
wavelet analysis
wavelet transform
cubic box spline
digital filters
direct cubic B-spline filter
prefiltering
Opis:
Wavelet transform algorithms (Mallat’s algorithm, a trous algorithm) require input data in the form of a sequence of numbers equal to the signal projection coefficients on a space spanned by integer-translated copies of a scaling function. After sampling of the continuous-time signal, it is most frequently possible to compute only approximated values of the signal projection coefficients by choosing a specific signal approximation. Calculation of the signal projection coefficients based on the signal interpolation by means of cubic B-splines is proposed in the paper.
Źródło:
International Journal of Electronics and Telecommunications; 2014, 60, 4; 331-340
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Continuous and smooth minimax spline-approximation of sensor temperature characteristic and its sensitivity
Ciągła i gładka aproksymacja minimaksowa funkcjami sklejanymi charakterystyki czujnika temperatury
Autorzy:
Andrunyk, V.
Malachivskyy, P.
Pizyur, Y.
Yatsuk, V.
Powiązania:
https://bibliotekanauki.pl/articles/155206.pdf
Data publikacji:
2007
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
spline approximation
minimax Chebyshev polynom
aproksymacja funkcjami sklejanymi
Opis:
The problem under consideration is the construction of continuous and smooth spline-approximation whose any link is polynomial approximation according to a minimax criterion. The algorithm of such a spline-approximation with a priory given error is proposed. The practical sample of its application for the description of a temperature characteristic and sensitivity of cryogen thermodiode sensor is described.
Zbadano własności ciągłej i zarazem gładkiej aproksymacji funkcjami sklejanymi, w których wszystkie ogniwa są wielomianami. Zaproponowano algorytm konstrukcji takiego przybliżenia realizującego aproksymację z założoną dokładnością. Algorytm ten zastosowano do przybliżenia charakterystyki temperaturowej czujnika diodowego pracującego w obszarze temperatur kriogenicznych.
Źródło:
Pomiary Automatyka Kontrola; 2007, R. 53, nr 9 bis, 9 bis; 617-620
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Missing-data imputation using wearable sensors in heart rate variability
Autorzy:
Tlija, A.
Węgrzyn-Wolska, K.
Istrate, D.
Powiązania:
https://bibliotekanauki.pl/articles/200516.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
data imputation
spline interpolation
linear interpolation
HRV
IoT
Opis:
The objective of this work is to set up a methodology that considers missing data from a connected heartbeat sensor in order to propose a good replacement methodology in the context of heart rate variability (HRV) computation. The framework is a research project, which aims to build a system that can measure stress and other factors influencing the onset and development of heart disease. The research encompasses studying existing methods, and improving them by use of experimental data from case study that describe the participant’s everyday life. We conduct a study to modelize stress from the HRV signal, which is extracted from a heart rate monitor belt connected to a smart watch. This paper describes data recording procedure and data imputation methodology. Missing data is a topic that has been discussed by several authors. The manuscript explains why we choose spline interpolation for data values imputation. We implement a random suppression data procedure and simulate removed data. After that, we implement several algorithms and choose the best one for our case study based on the mean square error.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 2; 255-261
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniqueness of series in the Franklin system and the Gevorkyan problems
Autorzy:
Wronicz, Zygmunt
Powiązania:
https://bibliotekanauki.pl/articles/2050933.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Franklin system
orthonormal spline system
uniqueness of series
Opis:
In 1870 G. Cantor proved that if $lim_{N \to \infty} \Sigma_{n=-N}^{N}c_{n}e^{i n x} = 0, \overline{c}_{n} = c_{n}$, then $c_{n} = 0$ for $n \in \mathbb{Z}$. In 2004 G. Gevorkyan raised the issue that if Cantor’s result extends to the Franklin system. He solved this conjecture in 2015. In 2014 Z. Wronicz proved that there exists a Franklin series for which a subsequence of its partial sums converges to zero, where not all coefficients of the series are zero. In the present paper we show that to the uniqueness of the Franklin system $\Sigma_{n=0}^{\infty} a_{n}f_{n}$ it suffices to prove the convergence its subsequence $s_{2^{n}}$ to zero by the condition $a_{n} = o(\sqrt{n})$. It is a solution of the Gevorkyan problem formulated in 2016.
Źródło:
Opuscula Mathematica; 2021, 41, 2; 269-276
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spline description of non-typical gears for belt transmissions
Opis krzywymi sklejanymi nietypowych kół zębatych stosowanych w przekładniach cięgnowych
Autorzy:
Krawiec, P.
Marlewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/281057.pdf
Data publikacji:
2011
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
spline
noncircular wheel
belt transmission
computer-aided design
Opis:
The usage of noncircular gears makes possible to get better characteristics of the transmission. This problem is widely studied in the case of regular noncircularity, e.g., when a gear is of an elliptical or cycloidal shape. In this study, there are taken into account non-typical irregular gears. The design of such gears involves more advanced techniques, in particular there has to be applied a numerical treatment to get a mathematical description of the gear profile. In the paper, we discuss a parametric spline interpolation of the third degree and we give an example of such approximation. We also present a prototype drive making that the belt transmission has changeable kinematical features.
Zastosowanie nieokrągłych kół zębatych powala uzyskać lepsze charakterystyki przełożenia. Przypadki, gdy koła nieokrągłe mają kształty regularne, np. eliptyczny lub cykloidalny, zostały już szeroko przebadane. W tej pracy są poddane analizie nietypowe nieregularne koła zębate. Projektowanie takich kół wymaga bardziej zaawansowanych technik, w szczególności podejścia numerycznego w celu uzyskania matematycznego opisu profilu koła. W pracy omawiamy interpolację parametryczną za pomocą funkcji sklejanych stopnia trzeciego i stosujemy ją do uzyskania odpowiedniego opisu. Ponadto prezentujemy prototypowy napęd, w którym zostało zastosowane przedmiotowe nieregularne koło nieokrągłe. Zastosowanie tego koła w przekładni cięgnowej sprawia, że ma ona zmienne cechy kinematyczne.
Źródło:
Journal of Theoretical and Applied Mechanics; 2011, 49, 2; 355-367
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Submerged objects modeling and storing in a global reference context using multiresolution spline technique
Autorzy:
Demkowicz, J.
Powiązania:
https://bibliotekanauki.pl/articles/331973.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Akustyczne
Tematy:
bathymetry
spline interpolation
3D spatial data representation
Opis:
Contemporary sensors i.e. multibeam sonars, 3D shuttle radar topography mission elevation data features high resolution. On the other side bathymetric models of different resolution from different sensors are available as well, starting from very high resolution MBS records as well as low resolution records coming from regular scattered measurement. Approximating and eventually visualizing high volume scattered 3D raster data of different resolution results in some difficulties related to computer processing power. The paper presents some advantages of using multiresolution splines combined with the Hilbert curve approach. The proposed approach consists of two stages: firstly, data of different resolution are interpolated using spline technique and finally the knots and control points are saved using the Hilbert curve. Such an approach especially facilitates high volume spatial data level of details (LoD) visualization technique.
Źródło:
Hydroacoustics; 2015, 18; 47-52
1642-1817
Pojawia się w:
Hydroacoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A concept of in-process measurement system for spline forming
Autorzy:
Wieczorowski, M.
Eichner, T.
Lindner, I.
Pereira, A.
Powiązania:
https://bibliotekanauki.pl/articles/407260.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
gear
spline
forming
coordinate metrology
in-process inspection
Opis:
In the paper a possibility of in-process inspection of gear and spline shafts during forming was discussed. Different methods of forming toothed elements were discussed as well as the other technologies were mentioned. Coordinate measurement technique as a way of post process inspection was presented. However, it is not possible to use it for checking features during forming process. To do it different sensors were used and their combinations were described.
Źródło:
Management and Production Engineering Review; 2015, 6, 2; 73-81
2080-8208
2082-1344
Pojawia się w:
Management and Production Engineering Review
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 54

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