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Scale-Space Analysis of Discrete Filtering over Arbitrary Triangulated Surfaces

https://doi.org/10.1137/080722758
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cav.19openalex-snapshot
Inviscid and incompressible fluid simulation on triangle meshes
inferredcites →https://doi.org/10.1006/cviu.1996.0062openalex-snapshot
Geometric Heat Equation and Nonlinear Diffusion of Shapes and Images
inferredcites →https://doi.org/10.1006/gmip.1997.0442openalex-snapshot
Intrinsic Scale Space for Images on Surfaces: The Geodesic Curvature Flow
inferredcites →https://doi.org/10.1006/jcph.2001.6937openalex-snapshot
Variational Problems and Partial Differential Equations on Implicit Surfaces
inferredcites →https://doi.org/10.1007/0-387-28831-7openalex-snapshot
Handbook of Mathematical Models in Computer Vision
inferredcites →https://doi.org/10.1007/3-540-45783-6_17openalex-snapshot
Fast Implicit Active Contour Models
inferredcites →https://doi.org/10.1007/3-540-47969-4_10openalex-snapshot
Understanding and Modeling the Evolution of Critical Points under Gaussian Blurring
inferredcites →https://doi.org/10.1007/3-540-48236-9_52openalex-snapshot
Segmenting by Compression Using Linear Scale-Space and Watersheds
inferredcites →https://doi.org/10.1007/3-540-76076-8_123openalex-snapshot
Nonlinear diffusion scale-spaces: From the continuous to the discrete setting
inferredcites →https://doi.org/10.1007/978-1-4757-6465-9openalex-snapshot
Scale-Space Theory in Computer Vision
inferredcites →https://doi.org/10.1007/978-3-662-05105-4_2openalex-snapshot
Discrete Differential-Geometry Operators for Triangulated 2-Manifolds
inferredcites →https://doi.org/10.1007/978-3-7091-6867-7_1openalex-snapshot
A semidiscrete nonlinear scale-space theory and its relation to the Perona—Malik paradox
inferredcites →https://doi.org/10.1007/978-94-015-8802-7_6openalex-snapshot
On the Axiomatic Foundations of Linear Scale-Space
inferredcites →https://doi.org/10.1007/b97428openalex-snapshot
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations
inferredcites →https://doi.org/10.1007/bf00135225openalex-snapshot
Scale-space behaviour of local extrema and blobs
inferredcites →https://doi.org/10.1007/bf00336961openalex-snapshot
The structure of images
inferredcites →https://doi.org/10.1007/s10851-007-0005-xopenalex-snapshot
Gradient Structure of Image in Scale Space
inferredcites →https://doi.org/10.1016/0010-4485(78)90110-0openalex-snapshot
Recursively generated B-spline surfaces on arbitrary topological meshes
inferredcites →https://doi.org/10.1016/0167-2789(92)90242-fopenalex-snapshot
Nonlinear total variation based noise removal algorithms
inferredcites →https://doi.org/10.1016/0893-9659(91)90161-nopenalex-snapshot
A parallel splitting up method and its application to Navier-Stokes equations
inferredcites →https://doi.org/10.1016/b978-0-08-051581-6.50036-2openalex-snapshot
SCALE-SPACE FILTERING
inferredcites →https://doi.org/10.1016/b978-0-08-051581-6.50072-6openalex-snapshot
Representations based on Zero-crossings in Scale-Space
inferredcites →https://doi.org/10.1023/a:1008045108935openalex-snapshot
Feature Detection with Automatic Scale Selection
inferredcites →https://doi.org/10.1023/a:1008304909717openalex-snapshot
The Topological Structure of Scale-Space Images
inferredcites →https://doi.org/10.1023/a:1011126920638openalex-snapshot
Representing and Recognizing the Visual Appearance of Materials using Three-dimensional Textons
inferredcites →https://doi.org/10.1023/a:1022168617945openalex-snapshot
Scale Space Hierarchy
inferredcites →https://doi.org/10.1023/b:visi.0000013091.14851.24openalex-snapshot
The Relevance of Non-Generic Events in Scale Space Models
inferredcites →https://doi.org/10.1023/b:visi.0000027790.02288.f2openalex-snapshot
Scale & Affine Invariant Interest Point Detectors
inferredcites →https://doi.org/10.1023/b:visi.0000029664.99615.94openalex-snapshot
Distinctive Image Features from Scale-Invariant Keypoints
inferredcites →https://doi.org/10.1088/0266-5611/18/1/312openalex-snapshot
Nonlinear anisotropic diffusion filtering for multiscale edge enhancement
inferredcites →https://doi.org/10.1093/oso/9780198532538.001.0001openalex-snapshot
Riemannian Geometry
inferredcites →https://doi.org/10.1109/34.141551openalex-snapshot
Generic neighborhood operators
inferredcites →https://doi.org/10.1109/34.49051openalex-snapshot
Scale-space for discrete signals
inferredcites →https://doi.org/10.1109/34.56205openalex-snapshot
Scale-space and edge detection using anisotropic diffusion
inferredcites →https://doi.org/10.1109/83.541424openalex-snapshot
Behavioral analysis of anisotropic diffusion in image processing
inferredcites →https://doi.org/10.1109/83.902288openalex-snapshot
The digital TV filter and nonlinear denoising
inferredcites →https://doi.org/10.1109/icpr.1996.546154openalex-snapshot
The entropy of scale-space
inferredcites →https://doi.org/10.1109/sibgrapi.2001.963039openalex-snapshot
Discrete scale spaces via heat equation
inferredcites →https://doi.org/10.1109/tip.2004.828431openalex-snapshot
Multiresolution segmentation of natural images: from linear to nonlinear scale-space representations
inferredcites →https://doi.org/10.1109/tpami.1986.4767748openalex-snapshot
Scaling Theorems for Zero Crossings
inferredcites →https://doi.org/10.1109/tpami.1986.4767749openalex-snapshot
Uniqueness of the Gaussian Kernel for Scale-Space Filtering
inferredcites →https://doi.org/10.1109/tvcg.2006.47openalex-snapshot
Dual Laplacian editing for meshes
inferredcites →https://doi.org/10.1109/tvcg.2006.59openalex-snapshot
An improved vertex caching scheme for 3D mesh rendering
inferredcites →https://doi.org/10.1109/tvcg.2008.10openalex-snapshot
Diffusion Equations over Arbitrary Triangulated Surfaces for Filtering and Texture Applications
inferredcites →https://doi.org/10.1109/visual.2000.885721openalex-snapshot
Anisotropic geometric diffusion in surface processing
inferredcites →https://doi.org/10.1137/0729012openalex-snapshot
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
inferredcites →https://doi.org/10.1137/0729052openalex-snapshot
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
inferredcites →https://doi.org/10.1137/1016079openalex-snapshot
A Survey on M -Matrices
inferredcites →https://doi.org/10.1137/s003613999529558xopenalex-snapshot
The Perona--Malik Paradox
inferredcites →https://doi.org/10.1145/1015706.1015774openalex-snapshot
Mesh editing with poisson-based gradient field manipulation
inferredcites →https://doi.org/10.1145/1037957.1037958openalex-snapshot
Feature-based surface parameterization and texture mapping
inferredcites →https://doi.org/10.1145/1201775.882338openalex-snapshot
Flows on surfaces of arbitrary topology
inferredcites →https://doi.org/10.1145/274363.274365openalex-snapshot
Geometric compression through topological surgery
inferredcites →https://doi.org/10.1145/311535.311576openalex-snapshot
Implicit fairing of irregular meshes using diffusion and curvature flow
inferredcites →https://doi.org/10.1145/566570.566591openalex-snapshot
Progressive lossless compression of arbitrary simplicial complexes
inferredcites →https://doi.org/10.1145/566654.566591openalex-snapshot
Progressive lossless compression of arbitrary simplicial complexes
inferredcites →https://doi.org/10.1145/588272.588276openalex-snapshot
Anisotropic diffusion of surfaces and functions on surfaces
inferredcites →https://doi.org/10.1145/882262.882338openalex-snapshot
Flows on surfaces of arbitrary topology
inferredcites →https://doi.org/10.5170/cern-1996-008.27openalex-snapshot
Scale-Space: A Framework for Handling Image Structures at Multiple Scales
inferredcites →https://doi.org/10.7907/zhy8-v329.openalex-snapshot
Discrete exterior calculus

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s10915-011-9477-3openalex-snapshot
Augmented Lagrangian Method for Total Variation Based Image Restoration and Segmentation Over Triangulated Surfaces
inferred← citeshttps://doi.org/10.1007/s10915-022-02047-8openalex-snapshot
Total Generalized Variation for Triangulated Surface Data
inferred← citeshttps://doi.org/10.1016/j.cag.2020.05.022openalex-snapshot
Total variation diffusion and its application in shape decomposition
inferred← citeshttps://doi.org/10.1016/j.cam.2018.06.048openalex-snapshot
Convex non-convex segmentation of scalar fields over arbitrary triangulated surfaces
inferred← citeshttps://doi.org/10.1016/j.sigpro.2013.01.019openalex-snapshot
Variational structure–texture image decomposition on manifolds
inferred← citeshttps://doi.org/10.1108/ec-07-2023-0390openalex-snapshot
Variational sparse diffusion and its application in mesh processing
inferred← citeshttps://doi.org/10.1109/cvpr.2014.198openalex-snapshot
Recovering Surface Details under General Unknown Illumination Using Shading and Coarse Multi-view Stereo
inferred← citeshttps://doi.org/10.1109/tpami.2017.2671458openalex-snapshot
Shading-Based Surface Detail Recovery Under General Unknown Illumination
inferred← citeshttps://doi.org/10.1109/tvcg.2009.103openalex-snapshot
A Level Set Formulation of Geodesic Curvature Flow on Simplicial Surfaces
inferred← citeshttps://doi.org/10.1109/tvcg.2010.72openalex-snapshot
Guest Editors' Introduction: Special Section on Volume Graphics and Point-Based Graphics
inferred← citeshttps://doi.org/10.1109/tvcg.2015.2398432openalex-snapshot
Variational Mesh Denoising Using Total Variation and Piecewise Constant Function Space
inferred← citeshttps://doi.org/10.1109/vcip.2016.7805426openalex-snapshot
Photometric stereo using mesh face based optimization
inferred← citeshttps://doi.org/10.1111/j.1467-8659.2009.01621.xopenalex-snapshot
Mesh Snapping: Robust Interactive Mesh Cutting Using Fast Geodesic Curvature Flow
inferred← citeshttps://doi.org/10.1117/1.jei.25.3.033011openalex-snapshot
Split Bregman’s algorithm for three-dimensional mesh segmentation
inferred← citeshttps://doi.org/10.1137/23m159439xopenalex-snapshot
Non-Lipschitz Variational Models and their Iteratively Reweighted Least Squares Algorithms for Image Denoising on Surfaces
inferred← citeshttps://doi.org/10.1145/2167076.2167079openalex-snapshot
Variational mesh decomposition
inferred← citeshttps://doi.org/10.32657/10356/48028openalex-snapshot
Variational 3D mesh segmentation
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