Abstract
This study is aimed at developing equations describing the shape of any particular knot in the trunk of a tree. The present model differs from previous models in that it is not limited by the assumption of a straight conical knot. The knot is represented by an assemblage of elliptical cone sections with the axis defined by a Hermite-type cubic equation or a straight line, and ends in a half ellipsoid symbolizing the enclosure of an intergrown knot. Simulations of knot shapes are presented to demonstrate the versatility of the model. The model seems flexible enough to adjust to common knot shapes presented in the literature. This model is intended to be incorporated into tree felling, bucking, and sawing simulation softwares.
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