Fractal Modelling: Growth and Form in BiologieSpringer Science & Business Media, 1994年4月12日 - 208 頁 New developments in computer science, biology, mathematics and physics offer possibilities to obtain deeper understanding of growth and forms of organisms. It is now possible to carry out simulation experiments in which the growth process can be simulated in virtual computer objects. In this book, methods from fractal geometry are applied to model growth forms. As a case study, a type of growth process is used which can be found among various taxonomic classes of organisms such as sponges and corals. The growth of these organisms is simulated with 2D and 3D geometrical objects. The models presented in the book provide a rendering method for natural objects which is based on the actual growth process. The models can be used, for example, to understand the amazing variety of forms to be found in a coral reef. Models which mimic the growth of forms and the environmental influence on the growth process are also useful for ecologists. A combination of simulation models and the actual growth forms can be used to detect the effects of slow changes in the environment. |
內容
Introduction | 1 |
5 | 5 |
2 | 14 |
6 | 27 |
on the Growth Process | 45 |
7 | 53 |
4 | 60 |
5 | 66 |
9 | 88 |
4 | 103 |
Collected in Different Localities | 110 |
3 | 126 |
6 | 189 |
| 197 | |
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常見字詞
3D models algorithm anastomosis angle autotrophic axis of growth base element biological objects contours corallites decreases described Dragon sweep edge(Vi erosion value example exposure to water fractal dimension geometric model Gouraud shading gradient growing object growth axis growth forms growth velocity h(rad_curv heterotrophic hydrocoral indicated inhibition level initiator insertion rule irregular ramifying object iteration process iteration step iterative geometric constructions Kaandorp Koch curve L-systems Laplace equation layer length light intensity list of edges longitudinal elements longitudinal section lowest_value M₂j maximum modular monopodial Montastrea annularis morphological models nutrient concentration organism with radiate parameter max_curv polyline polyps Porifera post-processing functions prev_DA processing function production rule quadric rad_curv radiate accretive growth radius of curvature replacement system result Scleractinia Sect self-similar shown in Fig simulation model skeleton spicula stony coral surface tangential edge tangential element tessellation thin-branching triangles V₁ vertex vertices Vi+1 visualized Vk,j water movement
熱門章節
第 197 頁 - The simulation of branching patterns in modular organisms. In: JL Harper, BR Rosen, and J. White, (eds.) The growth and form of modular organisms, pp.