The Algorithm Research And Application Of The Virtual Plant Leaf Venation

Virtual Plant Organ Modeling is an important research direction of Virtual Plant Modeling. Plant leaves because of its irregular surface texture and a high degree of complexity, has become a research rub in this field. The topic is modeling for plant leaves, which is based on fractal theory and combined with the morphological structure of veins in the VC + + environment that combined with OpenGL.On the base of the plant morphology theory, and to classify the plant vein in accordance with the self-similar structural unit of the vein texture, which towards the characteristics that the majority of veins have a similar texture or statistical sense of self-similarity.For the vein texture with the self-similarity, the simulating idea of using the IFS was adopted. Select the lotus leaf veins, gingko leaf veins and pinnate vein for statistical observation. Statistics shows that the lotus leaf and ginkgo leaf veins are both dichotomous branching veins, and each branch has a self-similarity. The branch of the pinnate vein at every level and the vein of superior level has a self-similarity; this paper establishes the corresponding iterated function system and gives proof of the theory by it IFS codes according to statistics of the results of observation and a lot of mathematical experiments.By analyzing the model of establishment based on the outline for the leaf blade edge, a new method came into being based on the use of graphic simulation leaves and the edge of the free curve of the outline. On the basis of the construction of the graphics in the vein, the three-spline curve fitting line impeller was also used. The plant simulation for the leaves was ultimately achieved.For the vein texture less or without the self-similarity, the simulating idea of using the particle system was adopted. The way of simulating by making use of randomly generated particles is proposed. After comparison, the vein texture created by this method is very irregular, self-similarity is worse and more in line with the principle of the leaves constitute in the morphology.