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Topology-inspired Galilean invariant vector field analysis

https://doi.org/10.1109/pacificvis.2016.7465253

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What this work says

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

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

Topology-based Methods in Visualization

inferredcites →https://doi.org/10.1007/978-3-540-70823-0_1openalex-snapshot

Topology-Based Flow Visualization, The State of the Art

inferredcites →https://doi.org/10.1007/978-3-540-70823-0_7openalex-snapshot

Topology Based Flow Analysis and Superposition Effects

inferredcites →https://doi.org/10.1007/978-3-642-13929-1_5openalex-snapshot

Lectures on Dynamical Systems

inferredcites →https://doi.org/10.1007/978-3-642-15014-2_10openalex-snapshot

On the Extraction of Long-living Features in Unsteady Fluid Flows

inferredcites →https://doi.org/10.1007/978-3-642-15014-2_16openalex-snapshot

Topological Flow Structures in a Mathematical Model for Rotation-Mediated Cell Aggregation

inferredcites →https://doi.org/10.1007/978-3-662-05056-9openalex-snapshot

Continuum Mechanics

inferredcites →https://doi.org/10.1007/978-3-7091-6783-0_15openalex-snapshot

Variational Approach to Vector Field Decomposition

inferredcites →https://doi.org/10.1007/978-94-011-2098-2_29openalex-snapshot

Topology of Flow Patterns in Vortex Motions and Turbulence

inferredcites →https://doi.org/10.1007/bf02742713openalex-snapshot

Les méthodes nouvelles de la mécanique céleste

inferredcites →https://doi.org/10.1016/s0167-2789(00)00142-1openalex-snapshot

Lagrangian coherent structures and mixing in two-dimensional turbulence

inferredcites →https://doi.org/10.1016/s0925-7721(02)00093-7openalex-snapshot

Computing contour trees in all dimensions

inferredcites →https://doi.org/10.1017/s0022112004002526openalex-snapshot

An objective definition of a vortex

inferredcites →https://doi.org/10.1017/s002211208400080xopenalex-snapshot

Simple three-dimensional vortex motions in coflowing jets and wakes

inferredcites →https://doi.org/10.1017/s0022112095000462openalex-snapshot

On the identification of a vortex

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/ldav.2015.7348070openalex-snapshot

Lagrangian representations of flow fields with parameter curves

inferredcites →https://doi.org/10.1109/pacificvis.2014.17openalex-snapshot

2D Vector Field Simplification Based on Robustness

inferredcites →https://doi.org/10.1109/tvcg.2005.68openalex-snapshot

Topological Methods for 2D Time-Dependent Vector Fields Based on Stream Lines and Path Lines

inferredcites →https://doi.org/10.1109/tvcg.2006.54openalex-snapshot

Segmentation of discrete 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.2010.270openalex-snapshot

Drawing Contour Trees in the Plane

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.2004.96openalex-snapshot

Simplifying flexible isosurfaces using local geometric measures

inferredcites →https://doi.org/10.1109/visual.2005.1532842openalex-snapshot

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

inferredcites →https://doi.org/10.1111/cgf.12358openalex-snapshot

Extracting Features from Time‐Dependent Vector Fields Using Internal Reference Frames

inferredcites →https://doi.org/10.1111/j.1467-8659.2003.00723.xopenalex-snapshot

The State of the Art in Flow Visualisation: Feature Extraction and Tracking

inferredcites →https://doi.org/10.1111/j.1467-8659.2009.01686.xopenalex-snapshot

Toward a Lagrangian Vector Field Topology

inferredcites →https://doi.org/10.1111/j.1467-8659.2011.01901.xopenalex-snapshot

The State of the Art in Topology‐Based Visualization of Unsteady Flow

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

Vector field design on surfaces

inferredcites →https://doi.org/10.1145/166117.166151openalex-snapshot

Imaging vector fields using line integral convolution

inferredcites →https://doi.org/10.1145/566570.566646openalex-snapshot

Image based flow visualization

inferredcites →https://doi.org/10.1146/annurev.fl.19.010187.001013openalex-snapshot

A Description Of Eddying Motions And Flow Patterns Using Critical-Point Concepts

inferredcites →https://doi.org/10.2312/vissym/eurovis05/143-150openalex-snapshot

Localized Flow Analysis of 2D and 3D Vector Fields

inferredcites →https://doi.org/10.2514/2.957openalex-snapshot

Correlation of Helicopter Rotor Tip Vortex Measurements

inferredcites →https://doi.org/10.4171/081openalex-snapshot

Lectures on Dynamical Systems

inferredcites →https://doi.org/10.48550/arxiv.1304.6804openalex-snapshot

A Note On Galilean Invariants In Semi-Relativistic Electromagnetism

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-030-43036-8_14openalex-snapshot

Interpreting Galilean Invariant Vector Field Analysis via Extended Robustness

inferred← citeshttps://doi.org/10.1007/978-3-030-83500-2_15openalex-snapshot

Introduction to Vector Field Topology

inferred← citeshttps://doi.org/10.1007/978-3-030-83500-2_7openalex-snapshot

Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction

inferred← citeshttps://doi.org/10.1007/978-3-030-83500-2_8openalex-snapshot

Coreline Criteria for Inertial Particle Motion

inferred← citeshttps://doi.org/10.1007/978-3-319-61358-1_3openalex-snapshot

Moment Invariants for Multi-Dimensional Data

inferred← citeshttps://doi.org/10.1007/s12665-019-8800-4openalex-snapshot

State of the art in flow visualization in the environmental sciences

inferred← citeshttps://doi.org/10.1017/jfm.2026.11160openalex-snapshot

An objective measure of unsteadiness

inferred← citeshttps://doi.org/10.1109/topoinvis57755.2022.00013openalex-snapshot

Discussion and Visualization of Distinguished Hyperbolic Trajectories as a Generalization of Critical Points to 2D Time-dependent Flow

inferred← citeshttps://doi.org/10.1109/tvcg.2018.2864839openalex-snapshot

Time-Dependent Flow seen through Approximate Observer Killing Fields

inferred← citeshttps://doi.org/10.1109/tvcg.2018.2868760openalex-snapshot

Hyper-Objective Vortices

inferred← citeshttps://doi.org/10.1109/tvcg.2019.2934375openalex-snapshot

Vector Field Topology of Time-Dependent Flows in a Steady Reference Frame

inferred← citeshttps://doi.org/10.1109/tvcg.2020.3030454openalex-snapshot

Objective Observer-Relative Flow Visualization in Curved Spaces for Unsteady 2D Geophysical Flows

inferred← citeshttps://doi.org/10.1109/tvcg.2021.3115565openalex-snapshot

Interactive Exploration of Physically-Observable Objective Vortices in Unsteady 2D Flow

inferred← citeshttps://doi.org/10.1109/tvcg.2023.3326915openalex-snapshot

Vortex Lens: Interactive Vortex Core Line Extraction using Observed Line Integral Convolution

inferred← citeshttps://doi.org/10.1109/tvcg.2025.3642506openalex-snapshot

Exploring 3D Unsteady Flow using 6D Observer Space Interactions

inferred← citeshttps://doi.org/10.1111/cgf.12933openalex-snapshot

A Survey of Topology‐based Methods in Visualization

inferred← citeshttps://doi.org/10.1111/cgf.13319openalex-snapshot

The State of the Art in Vortex Extraction

inferred← citeshttps://doi.org/10.1111/cgf.13689openalex-snapshot

Robust Reference Frame Extraction from Unsteady 2D Vector Fields with Convolutional Neural Networks

inferred← citeshttps://doi.org/10.1111/cgf.14037openalex-snapshot

State of the Art in Time‐Dependent Flow Topology: Interpreting Physical Meaningfulness Through Mathematical Properties

inferred← citeshttps://doi.org/10.1111/cgf.70128openalex-snapshot

Enhancing Material Boundary Visualizations in 2D Unsteady Flow through Local Reference Frame Transformations

inferred← citeshttps://doi.org/10.1145/3072959.3073684openalex-snapshot

Generic objective vortices for flow visualization

inferred← citeshttps://doi.org/10.2312/envirvis.20161103openalex-snapshot

Strategic Initiatives for Flow Visualization in Environmental Sciences

inferred← citeshttps://doi.org/10.3390/sym13030382openalex-snapshot

Rotation Invariant Predictor-Corrector for Smoothed Particle Hydrodynamics Data Visualization

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