A TOPOLOGICAL APPROACH TO GEOMETRIC MODELING OF PLANT LEAF SHAPE
Targeting to computer modeling of leaf shape interaction with eco-physiological factors, the author constructs a geometric model for a leaf shape by means of a topological approach and an algebraic tool. The topological structure of the leaf shape could be regarded as an invariant in the course of leaf growth, so the author divides information of a leaf shape into topological and geometric parts, and then applies the method n-Gmaps and algebraic structures of monoids to build a topological model of leaf shape, and finally adds the geometric vertexes coordinates of the leaf shape to the corresponding topology units by embedded mappings to obtain the geometric model of the leaf shape. The approach introduced in the paper is conducive to improving abstraction of the leaf shape model and increasing re-utilization of the model; the combination of the topologies helps to reduce errors and rounding-off in the numerical calculation in the geometric modeling and further make the modeling more accurate.
Authors: Yi Wenlong
Direction: Informatics and Computer Technologies
Keywords: Geometric modeling, topology conceptualization, n-Gmaps, monoids, geometric model of plant leaf shape
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