Modeling and visualization of leaf venation patterns
作者： Adam Runions , Martin Fuhrer , Brendan Lane , Pavol Federl , Anne-Gaëlle Rolland-Lagan
关键词: Visualization 、 Subdivision 、 Geometry 、 Biological system 、 Distribution (mathematics) 、 Mathematics 、 Development (differential geometry) 、 Connection (vector bundle) 、 Voronoi diagram 、 Graph (abstract data type) 、 Coherence (signal processing)
摘要: We introduce a class of biologically-motivated algorithms for generating leaf venation patterns. These algorithms simulate the interplay between three processes:(1) development of veins towards hormone (auxin) sources embedded in the leaf blade;(2) modification of the hormone source distribution by the proximity of veins; and (3) modification of both the vein pattern and source distribution by leaf growth. These processes are formulated in terms of iterative geometric operations on sets of points that represent vein nodes and auxin sources …
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