Computational geometry: an introduction
Computational geometry: an introduction
Stochastic sampling in computer graphics
ACM Transactions on Graphics (TOG)
Generating antialiased images at low sampling densities
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Generating textures on arbitrary surfaces using reaction-diffusion
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Spatial tessellations: concepts and applications of Voronoi diagrams
Spatial tessellations: concepts and applications of Voronoi diagrams
Reflection from layered surfaces due to subsurface scattering
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Animation of plant development
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Skeletal design of natural forms
Skeletal design of natural forms
Warping and morphing of graphical objects
Warping and morphing of graphical objects
Optimal Expected-Time Algorithms for Closest Point Problems
ACM Transactions on Mathematical Software (TOMS)
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Physically-based simulation of plant leaf growth: Research Articles
Computer Animation and Virtual Worlds - Special Issue: The Very Best Papers from CASA 2004
Real-time rendering of plant leaves
ACM SIGGRAPH 2005 Papers
Light diffusion in multi-layered translucent materials
ACM SIGGRAPH 2005 Papers
Visual models of morphogenesis
Artificial Life
Hierarchical retargetting of 2D motion fields to the animation of 3D plant models
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
ACM SIGGRAPH 2007 posters
Interactive procedural street modeling
ACM SIGGRAPH 2008 papers
Surface-based growth simulation for opening flowers
GI '08 Proceedings of graphics interface 2008
A Sketch-and-Spray Interface for Modeling Trees
SG '07 Proceedings of the 8th international symposium on Smart Graphics
A Survey of Modeling and Rendering Trees
Edutainment '08 Proceedings of the 3rd international conference on Technologies for E-Learning and Digital Entertainment
Self-organizing tree models for image synthesis
ACM SIGGRAPH 2009 papers
Digital Modeling of Material Appearance
Digital Modeling of Material Appearance
Tree Paths: A New Model for Steering Behaviors
IVA '09 Proceedings of the 9th International Conference on Intelligent Virtual Agents
Virtual Reality in Brazil 2011: Simulating crowds based on a space colonization algorithm
Computers and Graphics
A study of leaf modeling technology based on morphological features
Mathematical and Computer Modelling: An International Journal
TreeSketch: interactive procedural modeling of trees on a tablet
Proceedings of the International Symposium on Sketch-Based Interfaces and Modeling
Modeling trees with a space colonization algorithm
NPH'07 Proceedings of the Third Eurographics conference on Natural Phenomena
Interactive modeling of virtual ecosystems
NPH'09 Proceedings of the Fifth Eurographics conference on Natural Phenomena
On growing connected β-skeletons
Computational Geometry: Theory and Applications
Ant algorithms for image feature extraction
Expert Systems with Applications: An International Journal
How β-skeletons lose their edges
Information Sciences: an International Journal
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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. In addition, a vein connection graph is maintained to determine vein widths. The effective implementation of the algorithms relies on the use of space subdivision (Voronoi diagrams) and time coherence between iteration steps. Depending on the specification details and parameters used, the algorithms can simulate many types of venation patterns, both open (tree-like) and closed (with loops). Applications of the presented algorithms include texture and detailed structure generation for image synthesis purposes, and modeling of morphogenetic processes in support of biological research.