Cellular Automata
Leggi di Fick
Da Wikipedia, l'enciclopedia libera. In analisi matematica , l' equazione del calore , anche detta equazione di diffusione , è un' equazione differenziale alle derivate parziali che trova nelle scienze svariate applicazioni: per esempio in in fisica modellizza l'andamento della temperatura in una regione dello spazio-tempo sotto opportune condizioni, e in chimica l'andamento della concentrazione chimica di una specie. L'equazione per essere completamente determinata dev'essere accompagnata da un dato iniziale e dalle condizioni al contorno.
In image processing and computer vision , anisotropic diffusion , also called Perona–Malik diffusion , is a technique aiming at reducing image noise without removing significant parts of the image content, typically edges, lines or other details that are important for the interpretation of the image. [ 1 ] [ 2 ] [ 3 ] Anisotropic diffusion resembles the process that creates a scale space , where an image generates a parameterized family of successively more and more blurred images based on a diffusion process. Each of the resulting images in this family are given as a convolution between the image and a 2D isotropic Gaussian filter , where the width of the filter increases with the parameter.
Anisotropic diffusion
Next: Diffusion Tensor Interpolation Up: Methods Previous: Hue-balls and Deflection Mapping
Reaction-Diffusion Textures
Most of these images are linked to an applet with the same parameters so you can watch and interact with the pattern evolution. Varying F, k, and diffusion parameters
Java demo: Gray-Scott Reaction-Diffusion
Posted: November 22nd, 2011 | Author: Jessica Rosenkrantz | Filed under: 3dprinting , housewares | Tags: lighting , reaction , reaction diffusion | 1 Comment »
Nervous System – explorations in generative design and natural phenomena » reaction diffusion
Cellular Automata – How the Leopard gets its spots. « Jonathan Pace
I’ve been reading up on how you can take a set of individual ‘things’, give each thing a rule to iterate, then sit back and watch them exhibit some interesting behaviour.
Virtual Laboratory for Simulation and Analysis of Propagating Interfaces more... Sample Numerical Simulation Snapshots Produced with VLSAπ
SIMULATION PICS - Virtual Laboratory for Simulation and Analysis of Propagating Interfaces
Near the end of his life, the great mathematician Alan Turing wrote his first and last paper on biology and chemistry, about how a certain type of chemical reaction ought to produce many patterns seen in nature.
Alan Turing’s Patterns in Nature, and Beyond | Wired Science
Gierer-Meinhardt model
The Gierer-Meinhardt model Figure 1: Short-range activator and long-range inhibitor in Gierer-Meinhardt model \frac{\partial a}{\partial t} = \rho\frac{a^2}{h} - \mu_a a + D_a \frac{\partial^2 a}{\partial x^2} + \rho_aComputer simulations Equations used for RD systems 14 can be generally described as