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Skeleton and Cut-off Set Based Interactive Three-dimensional Fractal Tree Modeling

Author: ZhaoHongFei
Tutor: LiuShuQun
School: Lanzhou University of Technology
Course: Applied Mathematics
Keywords: Fractal Iterated function systems (IFS) Trees simulation Plant Simulation Skeleton Hand-painted graphics
CLC: TP391.41
Type: Master's thesis
Year: 2010
Downloads: 59
Quote: 1
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Abstract


Fractal as an emerging interdisciplinary, by nonlinear academia extensive attention. Fractal new concepts and methods for the objective laws of nature complex things and their internal relations. Analog of the natural landscape plant simulation, fractal technology has demonstrated its unique advantages, to become one of the hot spots of the current study. Fractal plant simulation is actually generating plant graphics using fractal characteristics of the structure of the plant itself. The simulation method: iterated function system IFS, L-systems, restricted diffusion condensation the DLA models and particle systems, etc.. Combined with skeleton cut set modeling method based on the iterative function system IFS discuss interactive 3D fractal tree modeling technology. This article first of all introduces the band aggregation of the IFS, with parametric IFS, do not compress the IFS, and then normalized IFS etc. Several expansion of IFS mathematical model, based on the point and a straight line of IFS sub-shaped tree modeling technology, lay a theoretical foundation for the further use of IFS mathematical model simulation plant . Followed by the introduction the skeleton cut set of modeling methods in computer graphics, 3D modeling, including the definition of the skeleton cut set of modeling methods, the use of the basic principles and specific functions, replace the round table skeleton cut set modeling method for 3D typing tree modeling The modeling approach provides the basis. Finally, analysis of three-dimensional points the shaped trees IFS recursive algorithm based on the truncated cone shape of the advantages and disadvantages, and then be improved on the original recursive algorithm based on the skeleton cut set of multiple branches styling, to make the IFS mathematical model and skeleton cut set modeling method relative combined, then put forward a three-dimensional skeleton cut set modeling techniques based the tree fractal IFS recursive algorithm, and to compare these two algorithms 3D fractal tree generated effects. In the programming section introduces the calculation of the two-dimensional affine transformation to transform the obtained three-dimensional, two-dimensional the twigs shape of the formation of two-dimensional tree branch shape data to three-dimensional the twigs modeling of data conversion and 3D fractal tree recursively generated. Frustum of a cone-based modeling of three-dimensional fractal tree the IFS recursive algorithm based on a the tree fractal IFS recursive algorithm based interactive 3D modeling of the skeleton cut. Quickly generate complex and realistic 3D tree models, from the simple and non-photorealistic 2D hand-drawn graphics and three-dimensional fractal tree connected natural, realistic shape. The method overcomes a single type of shaped trees IFS recursive algorithm branches modeling based on a truncated cone shape of three-dimensional points, fixed, the same modeling data affine transform data and stiffness modeling effect, making the branches styling variety, randomized, data modeling and imitation related to shoot transform data, modeling effect is more natural. Three dimensional fractal tree modeling technology provides a new way, in terms of natural scenery modeling, animation, virtual reality has important application value.

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