Abstract
Natural 3D tree modeling and growth simulation as realistic as possible have been an important goal in a variety of areas such as computer vision and graphics. Hence, the creation of realistic looking 3D tree growth models is one of the most complicated and challenging tasks because of its inherent geometric complexity. As a consequence, computer representations of tree growth processes need considerable efforts to achieve high level of realism. Moreover, when describing the growth processes for a given whole tree model in most of commercial tools, only the scaling factor of overall tree size is considered so that the tree growth simulation has a limitation of having a simple isometric growth, that is the tree's shape is consistent through the entire growth processes. In reality, meanwhile, every parts of a tree grow at relative rates.
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