A univariate rational quadratic trigonometric interpolating spline to visualize shaped data

This study was concerned with shape preserving interpolation of 2D data. A piecewise C1 univariate rational quadratic trigonometric spline including three positive parameters was devised to produce a shaped interpolant for given shaped data. Positive and monotone curve interpolation schemes were pre...

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Main Authors:	Bashir, Uzma, Jamaludin Md. Ali
Format:	Article
Language:	English
Published:	Penerbit Universiti Kebangsaan Malaysia 2016
Online Access:	http://journalarticle.ukm.my/10302/ http://journalarticle.ukm.my/10302/ http://journalarticle.ukm.my/10302/1/18%20Uzma%20Bashir.pdf

id	ukm-10302
recordtype	eprints
spelling	ukm-103022017-04-06T09:30:20Z http://journalarticle.ukm.my/10302/ A univariate rational quadratic trigonometric interpolating spline to visualize shaped data Bashir, Uzma Jamaludin Md. Ali, This study was concerned with shape preserving interpolation of 2D data. A piecewise C1 univariate rational quadratic trigonometric spline including three positive parameters was devised to produce a shaped interpolant for given shaped data. Positive and monotone curve interpolation schemes were presented to sustain the respective shape features of data. Each scheme was tested for plentiful shaped data sets to substantiate the assertion made in their construction. Moreover, these schemes were compared with conventional shape preserving rational quadratic splines to demonstrate the usefulness of their construction. Penerbit Universiti Kebangsaan Malaysia 2016-10 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/10302/1/18%20Uzma%20Bashir.pdf Bashir, Uzma and Jamaludin Md. Ali, (2016) A univariate rational quadratic trigonometric interpolating spline to visualize shaped data. Sains Malaysiana, 45 (10). pp. 1557-1563. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol45num10_2016/contentsVol45num10_2016.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	This study was concerned with shape preserving interpolation of 2D data. A piecewise C1 univariate rational quadratic trigonometric spline including three positive parameters was devised to produce a shaped interpolant for given shaped data. Positive and monotone curve interpolation schemes were presented to sustain the respective shape features of data. Each scheme was tested for plentiful shaped data sets to substantiate the assertion made in their construction. Moreover, these schemes were compared with conventional shape preserving rational quadratic splines to demonstrate the usefulness of their construction.
format	Article
author	Bashir, Uzma Jamaludin Md. Ali,
spellingShingle	Bashir, Uzma Jamaludin Md. Ali, A univariate rational quadratic trigonometric interpolating spline to visualize shaped data
author_facet	Bashir, Uzma Jamaludin Md. Ali,
author_sort	Bashir, Uzma
title	A univariate rational quadratic trigonometric interpolating spline to visualize shaped data
title_short	A univariate rational quadratic trigonometric interpolating spline to visualize shaped data
title_full	A univariate rational quadratic trigonometric interpolating spline to visualize shaped data
title_fullStr	A univariate rational quadratic trigonometric interpolating spline to visualize shaped data
title_full_unstemmed	A univariate rational quadratic trigonometric interpolating spline to visualize shaped data
title_sort	univariate rational quadratic trigonometric interpolating spline to visualize shaped data
publisher	Penerbit Universiti Kebangsaan Malaysia
publishDate	2016
url	http://journalarticle.ukm.my/10302/ http://journalarticle.ukm.my/10302/ http://journalarticle.ukm.my/10302/1/18%20Uzma%20Bashir.pdf
first_indexed	2023-09-18T19:57:02Z
last_indexed	2023-09-18T19:57:02Z
_version_	1777406598698762240

A univariate rational quadratic trigonometric interpolating spline to visualize shaped data

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