Generalized Trigonometric Spline

Kenjiro T. MIURA; R.U. GOBITHAASAN; Tadatoshi SEKINE; Shin USUKI

doi:10.1299/jsmedsd.2020.30.2306

Generalized Trigonometric Spline

The Proceedings of Design & Systems Conference ◽

10.1299/jsmedsd.2020.30.2306 ◽

2020 ◽

Vol 2020.30 (0) ◽

pp. 2306

Author(s):

Kenjiro T. MIURA ◽

R.U. GOBITHAASAN ◽

Tadatoshi SEKINE ◽

Shin USUKI

Keyword(s):

Trigonometric Spline

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A rational trigonometric spline to visualize positive data

10.1063/1.4887603 ◽

2014 ◽

Cited By ~ 2

Author(s):

Uzma Bashir ◽

Jamaludin Md. Ali

Keyword(s):

Positive Data ◽

Trigonometric Spline

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Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective

Numerical Algorithms ◽

10.1007/s11075-017-0313-1 ◽

2017 ◽

Vol 77 (1) ◽

pp. 243-259 ◽

Cited By ~ 5

Author(s):

Wenwu Gao ◽

Ran Zhang

Keyword(s):

Noisy Data ◽

Numerical Differentiation ◽

Trigonometric Spline

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A subdivision algorithm for trigonometric spline curves

Computer Aided Geometric Design ◽

10.1016/s0167-8396(01)00090-5 ◽

2002 ◽

Vol 19 (1) ◽

pp. 71-88 ◽

Cited By ~ 24

Author(s):

M.K. Jena ◽

P. Shunmugaraj ◽

P.C. Das

Keyword(s):

Spline Curves ◽

Trigonometric Spline ◽

Subdivision Algorithm

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Trigonometric spline for medical image interpolation

Journal of the National Science Foundation of Sri Lanka ◽

10.4038/jnsfsr.v45i1.8036 ◽

2017 ◽

Vol 45 (1) ◽

pp. 33

Author(s):

Samreen Abbas ◽

Malik Zawwar Hussain ◽

Misbah Irshad

Keyword(s):

Medical Image ◽

Image Interpolation ◽

Trigonometric Spline

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A New Trigonometric Spline Approach to Numerical Solution of Generalized Nonlinear Klien-Gordon Equation

PLoS ONE ◽

10.1371/journal.pone.0095774 ◽

2014 ◽

Vol 9 (5) ◽

pp. e95774 ◽

Cited By ~ 9

Author(s):

Shazalina Mat Zin ◽

Muhammad Abbas ◽

Ahmad Abd Majid ◽

Ahmad Izani Md Ismail

Keyword(s):

Numerical Solution ◽

Gordon Equation ◽

Trigonometric Spline

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Shape-Preserving Positive Trigonometric Spline Curves

Iranian Journal of Science and Technology Transactions A Science ◽

10.1007/s40995-016-0056-1 ◽

2016 ◽

Vol 42 (2) ◽

pp. 763-775

Author(s):

Malik Zawwar Hussain ◽

Farsia Hussain ◽

Muhammad Sarfraz

Keyword(s):

Shape Preserving ◽

Spline Curves ◽

Trigonometric Spline

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Computer Aided Design Using a Rational Quadratic Trigonometric Spline with Interval Shape Control

2017 International Conference on Computational Science and Computational Intelligence (CSCI) ◽

10.1109/csci.2017.39 ◽

2017 ◽

Cited By ~ 1

Author(s):

Shamaila Samreen ◽

Muhammad Sarfraz ◽

Nabila Jabeen ◽

Malik Zawwar Hussain

Keyword(s):

Computer Aided Design ◽

Shape Control ◽

Computer Aided ◽

Trigonometric Spline ◽

Aided Design

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Shape Preserving Rational Trigonometric Spline Curves

2014 11th International Conference on Computer Graphics, Imaging and Visualization ◽

10.1109/cgiv.2014.18 ◽

2014 ◽

Cited By ~ 3

Author(s):

Muhammad Sarfraz ◽

Farsia Hussain ◽

Malik Zawwar Hussain

Keyword(s):

Shape Preserving ◽

Spline Curves ◽

Trigonometric Spline

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A non-stationary subdivision scheme for generalizing trigonometric spline surfaces to arbitrary meshes

Computer Aided Geometric Design ◽

10.1016/s0167-8396(03)00008-6 ◽

2003 ◽

Vol 20 (2) ◽

pp. 61-77 ◽

Cited By ~ 13

Author(s):

M.K. Jena ◽

P. Shunmugaraj ◽

P.C. Das

Keyword(s):

Subdivision Scheme ◽

Spline Surfaces ◽

Trigonometric Spline ◽

Stationary Subdivision

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Gabor frames with trigonometric spline dual windows

Asian-European Journal of Mathematics ◽

10.1142/s1793557115500722 ◽

2015 ◽

Vol 08 (04) ◽

pp. 1550072 ◽

Cited By ~ 3

Author(s):

Inmi Kim

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Discrete Time ◽

Time Domain ◽

Higher Dimensions ◽

Gabor Frames ◽

One Dimension ◽

Trigonometric Spline

A dual Gabor window pair has two functions that can reconstruct any function in [Formula: see text] using certain systems of their modulated and translated forms. Few explicit examples of dual Gabor window pairs are known. This paper constructs explicit examples with trigonometric form in one dimension as well as higher dimensions. Also, in the discrete time domain, the trigonometric form allows us to evaluate the Gabor coefficients efficiently using the Discrete Fourier Transform. The windows have fixed support and arbitrary smoothness.

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