Abstract
There is an increasing demand for the simulation of large-scale "free-flow" urban environments in games or other virtual reality worlds. Currently most 3D cityscapes are generated by time consuming manually pre-scripted "room-to-room" approaches. Although the effectiveness of fractal modelling of rural landscape or architecture has been studied extensively, there is a relative dearth of research on fractal modelling of cityscapes. Inspired by modern fractal city theory, we intend to develop an automatic fractal-based method to address this problem. In particular, we will investigate how fractal theory can be used to mathematically simulate the multi-level hierarchical urban structure corresponding to various land use property probabilities of city regions. Tentative findings and results are presented in this paper
Highlights
It seems the world is chaotic, random, discontinuous, irregular and complex in its superficial physical form
Fractal geometry has been widely used in many areas of art and science, such as in decorative imagery, architectural layout [4], theoretical construction of the universe in astronomical physics and organism simulation in biology [1], [2]
A major concern of all gatherings of organisms is the need for some form of centre, in cities these are known as Central Business Districts (CBDs) [9]
Summary
It seems the world is chaotic, random, discontinuous, irregular and complex in its superficial physical form. Fractal geometry has been widely used in many areas of art and science, such as in decorative imagery, architectural layout [4], theoretical construction of the universe in astronomical physics and organism simulation in biology (e.g. human nervous and blood supply systems) [1], [2] All these complex natural phenomena can be truly presented with fractal mathematics and modelled through fractal computation. Fractal principle provides an optimal method to simulate the physical form of natural growth of cities, as well as reflecting social and economic development. Cityscapes are often presented as roads, buildings, open spaces and block regions which are largely associated with various social factors, such as population, wealth and commercial and industrial development The complexity of these factors is more notable for large-scale modern cities. Initial findings and results are presented, demonstrating how fractal methods can be best applied to cityscape modelling
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