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2D Vector Field Simplification Based on Robustness

https://doi.org/10.1109/pacificvis.2014.17

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What this work says

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

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Simplification of Morse Decompositions Using Morse Set Mergers

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Topology-Based Flow Visualization, The State of the Art

inferredcites →https://doi.org/10.1007/978-3-540-70823-0_3openalex-snapshot

Scale-Space Tracking of Critical Points in 3D Vector Fields

inferredcites →https://doi.org/10.1007/978-3-642-15014-2_3openalex-snapshot

The Stability of the Apparent Contour of an Orientable 2-Manifold

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Identifying Vector Field Singularities Using a Discrete Hodge Decomposition

inferredcites →https://doi.org/10.1007/s00454-002-2885-2openalex-snapshot

Topological Persistence and Simplification

inferredcites →https://doi.org/10.1007/s00454-003-2926-5openalex-snapshot

Hierarchical Morse--Smale Complexes for Piecewise Linear 2-Manifolds

inferredcites →https://doi.org/10.1007/s10208-011-9090-8openalex-snapshot

Quantifying Transversality by Measuring the Robustness of Intersections

inferredcites →https://doi.org/10.1007/s10652-009-9154-3openalex-snapshot

Boundary impulse response functions in a century-long eddying global ocean simulation

inferredcites →https://doi.org/10.1016/j.aml.2012.01.046openalex-snapshot

Computing well diagrams for vector fields on R n

inferredcites →https://doi.org/10.1016/j.combustflame.2005.09.018openalex-snapshot

Direct numerical simulation of ignition front propagation in a constant volume with temperature inhomogeneities

inferredcites →https://doi.org/10.1016/s0097-8493(00)00028-5openalex-snapshot

Multi-level topology for flow visualization

inferredcites →https://doi.org/10.1109/2.35197openalex-snapshot

Representation and display of vector field topology in fluid flow data sets

inferredcites →https://doi.org/10.1109/pccga.2003.1238287openalex-snapshot

Combining topological simplification and topology preserving compression for 2D vector fields

inferredcites →https://doi.org/10.1109/tvcg.2007.1021openalex-snapshot

Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition

inferredcites →https://doi.org/10.1109/tvcg.2008.33openalex-snapshot

Efficient Morse Decompositions of Vector Fields

inferredcites →https://doi.org/10.1109/tvcg.2010.235openalex-snapshot

Fast Combinatorial Vector Field Topology

inferredcites →https://doi.org/10.1109/tvcg.2011.107openalex-snapshot

Morse Set Classification and Hierarchical Refinement Using Conley Index

inferredcites →https://doi.org/10.1109/tvcg.2011.159openalex-snapshot

A Scale Space Based Persistence Measure for Critical Points in 2D Scalar Fields

inferredcites →https://doi.org/10.1109/tvcg.2011.269openalex-snapshot

Efficient Computation of Combinatorial Feature Flow Fields

inferredcites →https://doi.org/10.1109/tvcg.2011.88openalex-snapshot

Robust Morse Decompositions of Piecewise Constant Vector Fields

inferredcites →https://doi.org/10.1109/vis.2005.35openalex-snapshot

Extracting Higher Order Critical Points and Topological Simplification of 3D Vector Fields

inferredcites →https://doi.org/10.1109/visual.1999.809907openalex-snapshot

Collapsing flow topology using area metrics

inferredcites →https://doi.org/10.1109/visual.2000.885688openalex-snapshot

A level-set method for flow visualization

inferredcites →https://doi.org/10.1109/visual.2000.885716openalex-snapshot

A topology simplification method for 2D vector fields

inferredcites →https://doi.org/10.1109/visual.2001.964507openalex-snapshot

Continuous topology simplification of planar vector fields

inferredcites →https://doi.org/10.1111/cgf.12109openalex-snapshot

Visualizing Robustness of Critical Points for 2D Time‐Varying Vector Fields

inferredcites →https://doi.org/10.1145/1183287.1183290openalex-snapshot

Vector field design on surfaces

inferredcites →https://doi.org/10.1145/882262.882290openalex-snapshot

Discrete multiscale vector field decomposition

inferredcites →https://doi.org/10.5555/338219.338659openalex-snapshot

Computing contour trees in all dimensions

What points at this work

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

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Interpreting Galilean Invariant Vector Field Analysis via Extended Robustness

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Report of the TopoInVis TTK Hackathon: Experiences, Lessons Learned, and Perspectives

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CNN for Efficient Objects Classification with Embedded Vector Fields

inferred← citeshttps://doi.org/10.1007/978-3-319-04099-8_2openalex-snapshot

Interpreting Feature Tracking Through the Lens of Robustness

inferred← citeshttps://doi.org/10.1007/978-3-319-61358-1_1openalex-snapshot

Robustness for 2D Symmetric Tensor Field Topology

inferred← citeshttps://doi.org/10.1007/978-3-319-62392-4_11openalex-snapshot

Vector Field Second Order Derivative Approximation and Geometrical Characteristics

inferred← citeshttps://doi.org/10.1007/s00170-022-09445-0openalex-snapshot

Vector fields for five-axis machining. A survey

inferred← citeshttps://doi.org/10.1007/s00454-016-9794-2openalex-snapshot

On Computability and Triviality of Well Groups

inferred← citeshttps://doi.org/10.1007/s12650-015-0336-4openalex-snapshot

An integral curve attribute based flow segmentation

inferred← citeshttps://doi.org/10.1007/s12650-016-0348-8openalex-snapshot

From numerics to combinatorics: a survey of topological methods for vector field visualization

inferred← citeshttps://doi.org/10.1007/s12650-018-0526-yopenalex-snapshot

Detail-preserving compression for smoke-based flow visualization

inferred← citeshttps://doi.org/10.1016/j.advengsoft.2018.06.013openalex-snapshot

Vector field radial basis function approximation

inferred← citeshttps://doi.org/10.1016/j.cag.2017.07.014openalex-snapshot

Enhanced vector field visualization via Lagrangian accumulation

inferred← citeshttps://doi.org/10.1016/j.matcom.2020.10.009openalex-snapshot

Radial basis function and multi-level 2D vector field approximation

inferred← citeshttps://doi.org/10.1016/j.procs.2017.05.271openalex-snapshot

Classification of Critical Points Using a Second Order Derivative

inferred← citeshttps://doi.org/10.1109/access.2019.2895857openalex-snapshot

A Line Integral Convolution Method With Dynamically Determining Step Size and Interpolation Mode for Vector Field Visualization

inferred← citeshttps://doi.org/10.1109/access.2019.2935461openalex-snapshot

Streamline Uniform Placement Algorithm With Dynamic Seed Points

inferred← citeshttps://doi.org/10.1109/pacificvis.2016.7465253openalex-snapshot

Topology-inspired Galilean invariant vector field analysis

inferred← citeshttps://doi.org/10.1109/tvcg.2015.2440250openalex-snapshot

Robustness-Based Simplification of 2D Steady and Unsteady Vector Fields

inferred← citeshttps://doi.org/10.1109/tvcg.2016.2534538openalex-snapshot

Critical Point Cancellation in 3D Vector Fields: Robustness and Discussion

inferred← citeshttps://doi.org/10.1109/tvcg.2018.2864817openalex-snapshot

Visual Analysis of Spatia-temporal Relations of Pairwise Attributes in Unsteady Flow

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TROPHY: A Topologically Robust Physics-Informed Tracking Framework for Tropical Cyclones

inferred← citeshttps://doi.org/10.1109/tvcg.2024.3456355openalex-snapshot

Localized Evaluation for Constructing Discrete Vector Fields

inferred← citeshttps://doi.org/10.1111/cgf.13693openalex-snapshot

Robust Extraction and Simplification of 2D Symmetric Tensor Field Topology

inferred← citeshttps://doi.org/10.1111/cgf.14799openalex-snapshot

Multilevel Robustness for 2D Vector Field Feature Tracking, Selection and Comparison

inferred← citeshttps://doi.org/10.1117/12.2080196openalex-snapshot

An image-space Morse decomposition for 2D vector fields

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Robust Satisfiability of Systems of Equations

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CNN-based Flow Field Feature Visualization Method

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