Modeling and visualization of leaf venation patterns

A Runions, M Fuhrer, B Lane, P Federl… - ACM SIGGRAPH 2005 …, 2005 - dl.acm.org
We introduce a class of biologically-motivated algorithms for generating leaf venation
patterns. These algorithms simulate the interplay between three processes:(1) development …

[HTML][HTML] Optimization of mechanical properties of bio-inspired Voronoi structures by genetic algorithm

CC Tung, YY Lai, YZ Chen, CC Lin, PY Chen - Journal of Materials …, 2023 - Elsevier
Numerous patterns in nature comprise aesthetics structures and intriguing geometries. The
geometric factors behind these patterns include area, aspect ratio, circularity, orientation …

Texture synthesis on surfaces

G Turk - Proceedings of the 28th annual conference on …, 2001 - dl.acm.org
Many natural and man-made surface patterns are created by interactions between texture
elements and surface geometry. We believe that the best way to create such patterns is to …

Near-regular texture analysis and manipulation

Y Liu, WC Lin, J Hays - ACM Transactions on Graphics (ToG), 2004 - dl.acm.org
A near-regular texture deviates geometrically and photometrically from a regular congruent
tiling. Although near-regular textures are ubiquitous in the man-made and natural world …

Floating points: A method for computing stipple drawings

O Deussen, S Hiller, C Van Overveld… - Computer Graphics …, 2000 - Wiley Online Library
We present a method for computer generated pen‐and‐ink illustrations by the simulation of
stippling. In a stipple drawing, dots are used to represent tone and also material of surfaces …

Two-stage Turing model for generating pigment patterns on the leopard and the jaguar

RT Liu, SS Liaw, PK Maini - Physical Review E—Statistical, Nonlinear, and …, 2006 - APS
Based on the results of phylogenetic analysis, which showed that flecks are the primitive
pattern of the felid family and all other patterns including rosettes and blotches develop from …

The formation of Voronoi diagrams in chemical and physical systems: experimental findings and theoretical models

B de Lacy Costello, N Ratcliffe… - … journal of bifurcation …, 2004 - World Scientific
The work discusses the formation of Voronoi diagrams in spatially extended nonlinear
systems taking experimental and theoretical results into account. Concerning experimental …

Interdisciplinary applied mathematics

SSAJE Marsden, LSS Wiggins, L Glass, RV Kohn… - 1993 - Springer
Problems in engineering, computational science, and the physical and biological sciences
are using increasingly sophisticated mathematical techniques. Thus, the bridge between the …

Integrating shape and pattern in mammalian models

M Walter, A Fournier, D Menevaux - … of the 28th annual conference on …, 2001 - dl.acm.org
The giraffe and its patches, the leopard and its spots, the tiger and its stripes are spectacular
examples of the integration of a pattern and a body shape. We present an approach that …

Ordered arrangement of dendrites within a C. elegans sensory nerve bundle

ZC Yip, MG Heiman - Elife, 2018 - elifesciences.org
Biological systems are organized into well-ordered structures and can evolve new patterns
when perturbed. To identify principles underlying biological order, we turned to C. elegans …