On the construction of shape preserving taper curves.

There exists an algorithm for construction interpolating quadratic splines which preserves the monotony of the data. The taper curves formed with this algorithm, QO-splines, have many good qualities when a sufficient number of measured diameters of a tree is available. In fact, they may e...

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Bibliographic Details
Main Author: Lahtinen, Aatos
Format: Article
Language:English
Published: Finnish Society of Forest Science 1993-01-01
Series:Silva Fennica
Online Access:https://www.silvafennica.fi/article/5496
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spelling doaj-bfc22937fb374e6d825e0114e06194db2020-11-25T02:16:50ZengFinnish Society of Forest ScienceSilva Fennica2242-40751993-01-0127110.14214/sf.a15657On the construction of shape preserving taper curves.Lahtinen, Aatos There exists an algorithm for construction interpolating quadratic splines which preserves the monotony of the data. The taper curves formed with this algorithm, QO-splines, have many good qualities when a sufficient number of measured diameters of a tree is available. In fact, they may even be superior to certain shape preserving taper curves, MR-splines. This algorithm can be modified to preserve also the shape of the data. In the present paper, the quality of taper curves constructed by a new shape preserving from of the algorithm is examined. For this purpose, taper curves are formed for different sets of measurements and their properties are compared with the ones of QO-splines and MR-splines. The results indicate that these new shape-preserving taper curves are in general better than QO-splines and MR-splines even if the differences may be small in many cases. The superiority is the clearer the less measurements are available. The PDF includes an abstract in Finnish.https://www.silvafennica.fi/article/5496
collection DOAJ
language English
format Article
sources DOAJ
author Lahtinen, Aatos
spellingShingle Lahtinen, Aatos
On the construction of shape preserving taper curves.
Silva Fennica
author_facet Lahtinen, Aatos
author_sort Lahtinen, Aatos
title On the construction of shape preserving taper curves.
title_short On the construction of shape preserving taper curves.
title_full On the construction of shape preserving taper curves.
title_fullStr On the construction of shape preserving taper curves.
title_full_unstemmed On the construction of shape preserving taper curves.
title_sort on the construction of shape preserving taper curves.
publisher Finnish Society of Forest Science
series Silva Fennica
issn 2242-4075
publishDate 1993-01-01
description There exists an algorithm for construction interpolating quadratic splines which preserves the monotony of the data. The taper curves formed with this algorithm, QO-splines, have many good qualities when a sufficient number of measured diameters of a tree is available. In fact, they may even be superior to certain shape preserving taper curves, MR-splines. This algorithm can be modified to preserve also the shape of the data. In the present paper, the quality of taper curves constructed by a new shape preserving from of the algorithm is examined. For this purpose, taper curves are formed for different sets of measurements and their properties are compared with the ones of QO-splines and MR-splines. The results indicate that these new shape-preserving taper curves are in general better than QO-splines and MR-splines even if the differences may be small in many cases. The superiority is the clearer the less measurements are available. The PDF includes an abstract in Finnish.
url https://www.silvafennica.fi/article/5496
work_keys_str_mv AT lahtinenaatos ontheconstructionofshapepreservingtapercurves
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