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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Finnish Society of Forest Science
1993-01-01
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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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