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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
Anisotropic_diffusion
Method of utilizing water in magnetic resonance imaging
example, anisotropic diffusion tensors correlate to axonal fibers, while low isotropic diffusion tensors correlate to cells and high isotropic diffusion tensors
Diffusion-weighted magnetic resonance imaging
Diffusion-weighted_magnetic_resonance_imaging
Process of removing noise from a signal
similar to the heat equation, which is called anisotropic diffusion. With a spatially constant diffusion coefficient, this is equivalent to the heat equation
Noise_reduction
Methods to reduce sound pressure
resonance in the room, by absorption or redirection through reflection or diffusion. Absorption reduces the overall sound level, whereas redirection makes
Soundproofing
Partial differential equation describing the evolution of temperature in a region
Perona, P; Malik, J. (1990), "Scale-Space and Edge Detection Using Anisotropic Diffusion" (PDF), IEEE Transactions on Pattern Analysis and Machine Intelligence
Heat_equation
3D visualization of nerve tracts via diffusion MRI
medium with barriers, the diffusion will be uneven, which is termed anisotropic diffusion. In such a case, the relative mobility of the molecules from the
Tractography
Smoothing filler for images
bilateral filter. Other edge-preserving smoothing filters include: anisotropic diffusion, weighted least squares, edge-avoiding wavelets, geodesic editing
Bilateral_filter
Noise removal process during image processing
pivotal component in producing the first image of a black hole. Anisotropic diffusion Bounded variation Basis pursuit denoising Chambolle-Pock algorithm
Total_variation_denoising
Equation that describes density changes of a material that is diffusing in a medium
linear. The equation above applies when the diffusion coefficient is isotropic; in the case of anisotropic diffusion, D is a symmetric positive definite matrix
Diffusion_equation
Method for reducing unwanted sound
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Active_noise_control
Transport of dissolved species from the highest to the lowest concentration region
liquid). This explains why the diffusion of heat was explained mathematically before the diffusion of mass. Anisotropic diffusion, also known as the Perona–Malik
Diffusion
Mathematical descriptions of molecular diffusion
terms were introduced in the Maxwell–Stefan diffusion equation. For anisotropic multicomponent diffusion coefficients one needs a rank-four tensor, for
Fick's_laws_of_diffusion
Image processing technique
retaining sharp edges. Examples are the median, bilateral, guided, anisotropic diffusion, and Kuwahara filters. In many applications, e.g., medical or satellite
Edge-preserving_smoothing
American computer scientist
computational aspects of vision and learning. He developed the anisotropic diffusion equation, a partial differential equation that reduces noise in
Pietro_Perona
Non-linear digital filtering technique to remove noise
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Median_filter
Indian-American academic (born 1960)
well-known concepts and algorithms arose in this research, such as anisotropic diffusion, normalized cuts, high dynamic range imaging, shape context and
Jitendra_Malik
Image denoising algorithm
factor of 50 while preserving comparable quality of the result. Anisotropic diffusion Digital image processing Noise reduction Nonlocal operator Signal
Non-local_means
In geometry, property of being directionally dependent
of non-uniformity in different directions, as opposed to isotropy. An anisotropic object or pattern has properties that differ according to direction of
Anisotropy
Excessive displeasing noise
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Noise_pollution
{\displaystyle Y_{n,m}} . In diffusion theory, radiance is taken to be largely isotropic, so only the isotropic and first-order anisotropic terms are used: L (
Radiative transfer equation and diffusion theory for photon transport in biological tissue
Radiative_transfer_equation_and_diffusion_theory_for_photon_transport_in_biological_tissue
Study and modification of the noise and vibration characteristics of vehicles
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Noise, vibration, and harshness
Noise,_vibration,_and_harshness
Exterior structure on infrastructure used to prevent loud sounds from escaping
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Noise_barrier
Surname list
Pietro Perona, Italian-American engineering professor, co-author of anisotropic diffusion Renato Perona, Italian cyclist Perona, a character in One Piece
Perona
Health consequences of exposure to elevated sound levels
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Health_effects_from_noise
Physical quantities taking values at each point in space and time
derived from the Latin word for stretch), complex fluid flows or anisotropic diffusion, which are framed as matrix-tensor PDEs, and then require matrices
Field_(physics)
Range of wavelengths from 650 to 1350 nanometre
(magenta) coefficient spectra, as shown in Figure 6 (a). 'cite: Anisotropic diffusion filter for dorsal hand vein features extraction – Sarah Hachemi
Near-infrared window in biological tissue
Near-infrared_window_in_biological_tissue
Noise control by legal regulation of noise-producing items
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Noise_regulation
Strategies to reduce noise pollution or its impact
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Noise_control
MRI technique to image nerves
in anisotropic diffusion. They developed a collection of methods to suppress the "isotropic signal" and this resulted in allowing the anisotropic signal
Magnetic resonance neurography
Magnetic_resonance_neurography
Framework for multi-scale signal representation
for example, using anisotropic diffusion. Hence, one may say that the primary way to generate a scale space is by the diffusion equation, and that the
Scale_space
Numerical analysis method
origin. On the other hand, if controlled anisotropic effects are a desired feature, when solving anisotropic diffusion problems for example, it is also possible
Nine-point_stencil
Algorithmic processing of digitally-represented images
Some techniques that are used in digital image processing include: Anisotropic diffusion Hidden Markov models Image editing Image restoration Independent
Digital_image_processing
Computer vision framework
defining a continuous medial axis representation, regularizing image anisotropic diffusion algorithms, finding the centers of ribbon-like objects, constructing
Gradient_vector_flow
Machine learning model
human-drawn art. Text-to-image models are generally latent diffusion models, which perform the diffusion process in a compressed latent space rather than directly
Text-to-image_model
Mechanism of light transport
a sphere. Anisotropic scattering is simulated usually by using the Henyey-Greenstein phase function. For example, human skin has anisotropic scattering
Subsurface_scattering
Medical condition
DTI (diffusion tensor imaging). MRN can assess changes in the path, thickness, and signal intensity of the sciatic nerve. DTI uses the anisotropic diffusion
Piriformis_syndrome
Concept in science
to imaging, the graph Laplacian is formulated analogous to the anisotropic diffusion operator where a Gaussian smoothed image is interpreted as a single
Negative_probability
Measure of local oscillation behavior
variation distance of probability measures Kolmogorov–Smirnov test Anisotropic diffusion According to Golubov & Vitushkin (2001). Ambrosio, Luigi; Fusco
Total_variation
American-born computer scientist
Duality"). Black and colleagues applied these ideas to image denoising, anisotropic diffusion, and principal-component analysis (PCA). The robust formulation
Michael_J._Black
Partitioning a digital image into segments
Automatic Segmentation of MRI Brain Images using Probabilistic Anisotropic Diffusion and Multi-Scale Watersheds", Proc. Scale-Space'03, Isle of Skye
Image_segmentation
Tensor related to gradients
Weickert (1998), Anisotropic diffusion in image processing, Teuber Verlag, Stuttgart. D. Tschumperle & R. Deriche (September 2002). "Diffusion PDEs on Vector-Valued
Structure_tensor
Damping unwanted vibrations of machinery
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Acoustic_quieting
American solar physicist (1927–2022)
outflow. He wrote a Fokker–Planck transport equation and estimated anisotropic diffusion coefficients (easier along the mean field than across it). With
Eugene_Parker
Component of stress coplanar with a material cross section
viscosity. For an isotropic Newtonian flow, it is a scalar, while for anisotropic Newtonian flows, it can be a second-order tensor. The fundamental aspect
Shear_stress
Non-uniformity of a diffusion process
that stand out in an FA image. Liquid crystals can also exhibit anisotropic diffusion because the needle or plate-like shapes of their molecules affect
Fractional_anisotropy
Method of coating solid surfaces with thin films
dissipate large heat loads. PVD can be used as an application to make anisotropic glasses of low molecular weight for organic semiconductors. The parameter
Physical_vapor_deposition
Algorithm for noise reduction in images
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Block-matching and 3D filtering
Block-matching_and_3D_filtering
Radiometric dating method
mobility. For example, He diffusion in minerals such as zircon, rutile, and monazite have been shown to be strongly anisotropic. A relatively new dating
Helium_dating
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Shrinkage Fields (image restoration)
Shrinkage_Fields_(image_restoration)
Type of program in computer graphics
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Shader
German mathematician
the supervision of Helmut Neunzert; his dissertation was titled Anisotropic Diffusion in Image Processing. After taking postdoctoral research positions
Joachim_Weickert
French environmental non-profit organization
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Bruitparif
Physical process in cosmology
less anisotropic (characteristically various) and more isotropic (characteristically uniform). This reduction in anisotropy is the damping of diffusion damping
Diffusion_damping
Analysis (VIVA) group. He works in the fields of video tracking and anisotropic diffusion. Acton made his professional entry into software development prior
Scott_T._Acton
Equation describing the flow of a fluid through a porous medium
Δ p L {\displaystyle \nabla p={\frac {\Delta p}{L}}} . In case of an anisotropic porous media, the permeability is a second order tensor, and in tensor
Darcy's_law
Volume rendering technique
integrating sparse points produced during camera calibration. It introduces an Anisotropic representation using 3D Gaussians to model radiance fields, along with
Gaussian_splatting
Producing images of 3D scenes
Ommer, Björn (June 2022). High-Resolution Image Synthesis with Latent Diffusion Models. 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition
Rendering_(computer_graphics)
provide edge orientation and this information can be used to perform anisotropic diffusion. In 2012, a general framework is presented to reconstruct an image
Topological_derivative
estimation and image registration, wavelet image representations, anisotropic diffusion (edge-preserving noise reduction), image fidelity metrics (for evaluating
David_Heeger
Operation in computer graphics
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Alpha_compositing
Automatic Segmentation of MRI Brain Images Using Probabilistic Anisotropic Diffusion and Multi-scale Watersheds". Scale Space Methods in Computer Vision
Scale-space_segmentation
Inorganic chemical compound
Sarbajit (23 September 2024). "Synthesis, chloride-ion diffusion mechanisms, and anisotropic sintering of 2D layered erbium oxychloride nanoplatelets"
Erbium_oxychloride
Overview of and topical guide to computer vision
imaging Histogram equalization Tone mapping Retinex Gamma correction Anisotropic diffusion (Perona–Malik equation) Affine transform Homography (computer vision)
Outline_of_computer_vision
pdf [19] Adaptive non-local filtering: A fast alternative to anisotropic diffusion for image segmentation.IEEE Transactions on Pattern Analysis and
Eric_L._Schwartz
Measure of the ability of a porous material to allow fluids to pass through it
cerebrospinal fluid, etc.) within such a medium requires a full 3-dimensional anisotropic treatment of the tissue. In this case the scalar hydraulic permeability
Permeability_(porous_media)
Type of application software
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Graphics_software
Computer graphics rendering technique used to mimic the look of 2D animation
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Cel_shading
Graphics created using computers
web. By 2022, the best of these models, for example Dall-E 2 and Stable Diffusion, are able to create images in a range of styles, ranging from imitations
Computer_graphics
Element representing a value on a grid in three dimensional space
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Voxel
Problem in naval architecture
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Noise and vibration on maritime vessels
Noise_and_vibration_on_maritime_vessels
Graphics that use a three-dimensional representation of geometric data
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
3D_computer_graphics
3D computer graphics rendering method
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Ray_marching
Computer graphics technique
pipeline may also focus on the following areas of research: Reflection Diffusion Translucency and transparency Conservation of energy Metallicity Fresnel
Physically_based_rendering
Planar movement within a Euclidean space without rotation
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Translation_(geometry)
Transmission of sound through indirect pathways in buildings
variation denoising Wavelet denoising 2D (Image) Gaussian blur Anisotropic diffusion Bilateral filter Non-local means Block-matching and 3D filtering
Flanking_transmission
Computer graphics method
are called anisotropic, and include materials such as brushed steel or aluminum. Although many real-world materials are subtly anisotropic, anisotropy
Path_tracing
Gem variety of corundum
this color have appeared on the market as a result of artificial lattice diffusion of beryllium. A star sapphire is a type of sapphire that exhibits a star-like
Sapphire
State of unresponsiveness to repeated stimuli
= 0 {\displaystyle {\dot {u}}=0} (for more details, see also Reaction–diffusion and Parabolic partial differential equation). In physiology, a refractory
Refractory period (physiology)
Refractory_period_(physiology)
Geometric transformation
separate scale factor for each axis direction. Non-uniform scaling (anisotropic scaling) is obtained when at least one of the scaling factors is different
Scaling_(geometry)
Modular chemistry transport model system
reached, new air parcels are introduced (taken away). This way, anisotropic diffusion is simulated in a physically realistic manner. Lagrangian sedimentation
CLaMS
MRI sequence simulation technique
; Scheffler, K.; Hennig, J. (2010). "Extended phase graphs with anisotropic diffusion". Journal of Magnetic Resonance. 205 (2): 276–285. doi:10.1016/j
Extended_phase_graph
Chinese theoretical physicist
metamaterials and their engineering applications, diffusionics, diffusion metamaterials, and diffusion control. In 2008, Huang introduced the concept of
Ji-Ping_Huang
Concept in physics
{\displaystyle \sigma _{y}} is the yield stress in tension or compression. An anisotropic form of the Drucker–Prager yield criterion is the Liu–Huang–Stout yield
Drucker–Prager yield criterion
Drucker–Prager_yield_criterion
Screen-space shading technique
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Deferred_shading
Mathematical model of turbulence
insufficient due to the fact that even the small dissipative eddies are anisotropic. To account for this anisotropy in the dissipation rate tensor Rotta
Reynolds stress equation model
Reynolds_stress_equation_model
Graphics mode on the Super NES video game console
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Mode_7
Geometric transformation that preserves lines but not angles nor the origin
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Affine_transformation
Simulation of the appearance of being three-dimensional
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
2.5D
Technique for increasing apparent display resolution
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Subpixel_rendering
Type of geometric transformation
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Shear_mapping
Computer graphics technique
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Shadow_volume
Markov Chain Monte Carlo algorithm
accepted. On the other hand, when π {\displaystyle \pi } is strongly anisotropic (i.e. it varies much more quickly in some directions than others), it
Metropolis-adjusted Langevin algorithm
Metropolis-adjusted_Langevin_algorithm
Computer graphics rendering technique
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Spectral_rendering
Inelastic scattering of photons by matter
Several tricks may be used to get a larger amplitude: In an optically anisotropic crystal, a light ray may have two modes of propagation with different
Raman_scattering
Computer-based generation of digital images
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
2D_computer_graphics
Shading language for WebGPU
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
WebGPU_Shading_Language
Computer software architecture in 3D computer graphics
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Reyes_rendering
Motion of a certain space that preserves at least one point
3D projection 3D rendering (Image-based Spectral Unbiased) Aliasing Anisotropic filtering Cel shading Fluid animation Lighting Global illumination Hidden-surface
Rotation_(mathematics)
Measurand in NMR spectroscopy
averaging of spatially anisotropic dipolar couplings. Partial molecular alignment leads to an incomplete averaging of anisotropic magnetic interactions
Residual_dipolar_coupling
Diffusion curves are vector graphic primitives for creating smooth-shaded images. Each diffusion curve partitions the 2D graphics space through which it
Diffusion_curve
ANISOTROPIC DIFFUSION
ANISOTROPIC DIFFUSION
ANISOTROPIC DIFFUSION
Girl/Female
Indian, Sanskrit
Deathless
Girl/Female
Tamil
Arshika | à®…à®°à¯à®·à¯€à®•à®¾
Who gives happiness
Boy/Male
Hindu
A friend, Be friendly
Girl/Female
American, Arabic, Australian, British, Chinese, Danish, English, Finnish, French, German, Greek, Indian, Muslim, Swedish, Tamil
Will; Desire; Helmet; God's Protection; Will-helmet; Apple; Protection
Boy/Male
Gujarati, Hindu, Indian, Tamil, Telugu
Lord Shiva
Boy/Male
Hindu, Indian
Always
Girl/Female
Shakespearean
Henry VI, Part 2' Margery Jourdain, a witch.
Girl/Female
Hindu, Indian, Punjabi
Peak; Shade; Bright
Boy/Male
Gaelic Scottish
Village that has a milk pail.
Boy/Male
Hindu, Indian
Pious; Pure
ANISOTROPIC DIFFUSION
ANISOTROPIC DIFFUSION
ANISOTROPIC DIFFUSION
ANISOTROPIC DIFFUSION
ANISOTROPIC DIFFUSION
a.
Having the same properties in all directions; specifically, equally elastic in all directions.
n.
The act of disseminating, or the state of being disseminated; diffusion for propagation and permanence; a scattering or spreading abroad, as of ideas, beliefs, etc.
n.
One opposed to the diffusion of knowledge; an obscuriantist.
n.
The spreading abroad, or extension, of anything; diffusion; dissemination; as, the propagation of sound; the propagation of the gospel.
n.
An association of underwriters and others in London, for the collection and diffusion of marine intelligence, the insurance, classification, registration, and certifying of vessels, and the transaction of business of various kinds connected with shipping.
n.
The extent to which anything circulates or is circulated; the measure of diffusion; as, the circulation of a newspaper.
a.
Not isotropic; having different properties in different directions; thus, crystals of the isometric system are optically isotropic, but all other crystals are anisotropic.
a.
Anisotropic.
n.
The emission and diffusion of rays of light.
a.
Alt. of Anisotropic
a.
Prepared by diffusion through an animal membrane; as, dialyzed iron.
n.
The separation of different substances in solution, as crystalloids and colloids, by means of their unequal diffusion, especially through natural or artificial membranes.
n.
The act of passing by osmosis through animal membranes, as in the distribution of poisons, gases, etc., through the body. Unlike absorption, diffusion may go on after death, that is, after the blood ceases to circulate.
a.
Exhibiting differences of quality or property in different directions; not isotropic.
a.
Isotropic.
n.
The act of passing from place to place or person to person; free diffusion; transmission.
n.
The act of radiating, or the state of being radiated; emission and diffusion of rays of light; beamy brightness.
n.
The act of diffusing, or the state of being diffused; a spreading; extension; dissemination; circulation; dispersion.