Everything about Anisotropic diffusion
Image noise reducing technique
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. 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. This diffusion process is a linear and space-invariant transformation of the original image. Anisotropic diffusion is a generalization of this diffusion process: it produces a family of parameterized images, but each resulting image is a combination between the original image and a filter that depends on the local content of the original image. As a consequence, anisotropic diffusion is a non-linear and space-variant transformation of the original image. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Anisotropic diffusionA 5-minute orientation
- Skim a recent paper: Anisotropic Diffusion in Consensus-Based Optimization on the SphereInfluential work since 2022
- Pick up a classic book: Optics of liquid crystal displaysThe most-reprinted book on the subject
- Read the landmark paper: Scale-space and edge detection using anisotropic diffusionCited 9,721 times
- Go sideways: Total variation denoisingA closely related topic
- Go sideways: DiffusionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Scale-space and edge detection using anisotropic diffusion
The basis of anisotropic water diffusion in the nervous system – a technical review
Speckle reducing anisotropic diffusion
Robust anisotropic diffusion
Oriented Speckle Reducing Anisotropic Diffusion
Preserving monotonicity in anisotropic diffusion
Anisotropic diffusion in stress fields
Image Compression with Anisotropic Diffusion
🆕 Influential since 2022
Anisotropic Diffusion in Consensus-Based Optimization on the Sphere
Anisotropic diffusion cannot explain TeV halo observations
Visualizing fast interlayer anisotropic lithium diffusion via single crystal microbattery
Anisotropic cosmic ray diffusion in isotropic Kolmogorov turbulence
Anisotropic exciton diffusion in atomically-thin semiconductors
📚 Books worth reading
Optics of liquid crystal displaysPochi Yeh · 2010
Computer Vision - ACCV 2012 WorkshopsJong-Il Park · 2013
Particle-Laden FlowBernard Geurts · 2007
A compendium of partial differential equation modelsW. E. Schiesser · 2009
Scale Space and Variational Methods in Computer VisionArjan Kuijper · 2013
The astrophysics of galactic cosmic raysISSI Workshop (1999 Oct. 18-22 Bern, Switzerland) · 2001
Proceedings, "WASCOM 99"Meeting on Waves and Stability in Continuous Media (10th 1999 Vulcano Island, Italy) · 2001
Damage and fracture mechanicsTaoufik Boukharouba, Mimoun Elboujdaini · 2009
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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