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- Anisotropic_diffusion abstract "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.In its original formulation, presented by Perona and Malik in 1987, the space-variant filter is in fact isotropic but depends on the image content such that it approximates an impulse function close to edges and other structures that should be preserved in the image over the different levels of the resulting scale space. This formulation was referred to as anisotropic diffusion by Perona and Malik even though the locally adapted filter is isotropic, but it has also been referred to as inhomogeneous and nonlinear diffusion or Perona-Malik diffusion by other authors. A more general formulation allows the locally adapted filter to be truly anisotropic close to linear structures such as edges or lines: it has an orientation given by the structure such that it is elongated along the structure and narrow across. Such methods are referred to as shape-adapted smoothing or coherence enhancing diffusion. As a consequence, the resulting images preserve linear structures while at the same time smoothing is made along these structures. Both these cases can be described by a generalization of the usual diffusion equation where the diffusion coefficient, instead of being a constant scalar, is a function of image position and assumes a matrix (or tensor) value (see structure tensor).Although the resulting family of images can be described as a combination between the original image and space-variant filters, the locally adapted filter and its combination with the image do not have to be realized in practice. Anisotropic diffusion is normally implemented by means of an approximation of the generalized diffusion equation: each new image in the family is computed by applying this equation to the previous image. Consequently, anisotropic diffusion is an iterative process where a relatively simple set of computation are used to compute each successive image in the family and this process is continued until a sufficient degree of smoothing is obtained.".
- Anisotropic_diffusion wikiPageExternalLink PeronaMalikFilter.html.
- Anisotropic_diffusion wikiPageExternalLink www.vision.caltech.edu.
- Anisotropic_diffusion wikiPageExternalLink idllib.
- Anisotropic_diffusion wikiPageID "22350703".
- Anisotropic_diffusion wikiPageLength "11629".
- Anisotropic_diffusion wikiPageOutDegree "37".
- Anisotropic_diffusion wikiPageRevisionID "703071347".
- Anisotropic_diffusion wikiPageWikiLink Affine_shape_adaptation.
- Anisotropic_diffusion wikiPageWikiLink Anisotropy.
- Anisotropic_diffusion wikiPageWikiLink Bilateral_filter.
- Anisotropic_diffusion wikiPageWikiLink Category:Image_noise_reduction_techniques.
- Anisotropic_diffusion wikiPageWikiLink Category:Image_processing.
- Anisotropic_diffusion wikiPageWikiLink Computer_vision.
- Anisotropic_diffusion wikiPageWikiLink Convolution.
- Anisotropic_diffusion wikiPageWikiLink Diffusion_equation.
- Anisotropic_diffusion wikiPageWikiLink Diffusion_process.
- Anisotropic_diffusion wikiPageWikiLink Dirac_delta_function.
- Anisotropic_diffusion wikiPageWikiLink Divergence.
- Anisotropic_diffusion wikiPageWikiLink Edge-preserving_smoothing.
- Anisotropic_diffusion wikiPageWikiLink Edge_detection.
- Anisotropic_diffusion wikiPageWikiLink Gaussian_filter.
- Anisotropic_diffusion wikiPageWikiLink Gradient.
- Anisotropic_diffusion wikiPageWikiLink Gradient_descent.
- Anisotropic_diffusion wikiPageWikiLink Heat_equation.
- Anisotropic_diffusion wikiPageWikiLink Image_noise.
- Anisotropic_diffusion wikiPageWikiLink Image_processing.
- Anisotropic_diffusion wikiPageWikiLink Inner_product_space.
- Anisotropic_diffusion wikiPageWikiLink Isotropy.
- Anisotropic_diffusion wikiPageWikiLink Iteration.
- Anisotropic_diffusion wikiPageWikiLink Jitendra_Malik.
- Anisotropic_diffusion wikiPageWikiLink Laplace_operator.
- Anisotropic_diffusion wikiPageWikiLink Matrix_(mathematics).
- Anisotropic_diffusion wikiPageWikiLink Noise_reduction.
- Anisotropic_diffusion wikiPageWikiLink Pietro_Perona.
- Anisotropic_diffusion wikiPageWikiLink Scale_space.
- Anisotropic_diffusion wikiPageWikiLink Structure_tensor.
- Anisotropic_diffusion wikiPageWikiLink Tensor.
- Anisotropic_diffusion wikiPageWikiLink Total_variation_denoising.
- Anisotropic_diffusion wikiPageWikiLinkText "Anisotropic diffusion".
- Anisotropic_diffusion wikiPageWikiLinkText "anisotropic diffusion equation".
- Anisotropic_diffusion wikiPageWikiLinkText "anisotropic diffusion".
- Anisotropic_diffusion wikiPageUsesTemplate Template:Reflist.
- Anisotropic_diffusion subject Category:Image_noise_reduction_techniques.
- Anisotropic_diffusion subject Category:Image_processing.
- Anisotropic_diffusion hypernym Technique.
- Anisotropic_diffusion type TopicalConcept.
- Anisotropic_diffusion type Algorithm.
- Anisotropic_diffusion type Field.
- Anisotropic_diffusion type Redirect.
- Anisotropic_diffusion comment "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.".
- Anisotropic_diffusion label "Anisotropic diffusion".
- Anisotropic_diffusion sameAs Q4765461.
- Anisotropic_diffusion sameAs Difusión_Anisotrópica.
- Anisotropic_diffusion sameAs m.05s_l22.
- Anisotropic_diffusion sameAs Anizotropik_difüzyon.
- Anisotropic_diffusion sameAs Q4765461.
- Anisotropic_diffusion wasDerivedFrom Anisotropic_diffusion?oldid=703071347.
- Anisotropic_diffusion isPrimaryTopicOf Anisotropic_diffusion.