On the Construction of Shape Preserving Taper Curves

1993

S. 29-45

15 Lit. Ang.

Unselbständiges Werk

200040905

Silva Fennica 1993 : a quaterly journal of forest science ; 27(1), S. 29-45

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 form 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.