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International audienceLeaf is the important part of a tree. This paper mainly studied its categories, shapes and mass, then established four mathematic models to describe and analyze them. Firstly, this paper analyzed the reasons why leaf shapes are different by the theory of mechanics. The mechanics model explained the structure and forming principles of a leaf. Secondly, in order to classify the leaves accurately, this paper selected digital image processing and built two classified criterion: ratio of leaf area to its perimeter and ratio of maximal length to maximal width. After edge extraction and Fourier fitting. Thirdly, this paper utilized the connection between illumination intensity and leaf area to explain how the distribution of leaves and branches affect leaf area. According to the stem height at each branch tip, this paper got the relation between the branches, then established a model of leaf area to proof that the leaf shape has a relation with the tree profile and the branches structure. Finally, this paper set up leaf mass model to compute the total leaf mass, based on the leaf area index. It was calculated by choosing digital image processing technique. Using the leaves mass, this paper analyzed the relevancy of the mass and the size characteristics of the tree

Computer Computing and Simulation—In View of the Leaves’ Categories, Shapes and Mass