The Helmholtz-Hodge decomposition—a survey
The Helmholtz-Hodge Decomposition (HHD) describes the decomposition of a flow field into
its divergence-free and curl-free components. Many researchers in various communities like …
its divergence-free and curl-free components. Many researchers in various communities like …
A survey of topology‐based methods in visualization
This paper presents the state of the art in the area of topology‐based visualization. It
describes the process and results of an extensive annotation for generating a definition and …
describes the process and results of an extensive annotation for generating a definition and …
Vector fields for five-axis machining. A survey
SS Makhanov - The International Journal of Advanced Manufacturing …, 2022 - Springer
Toolpath generation (TPG) for multi-axis milling machines using vector fields (VF) and vector
field analysis (VFA) is becoming increasingly popular in the manufacturing industry …
field analysis (VFA) is becoming increasingly popular in the manufacturing industry …
State of the art in time‐dependent flow topology: Interpreting physical meaningfulness through mathematical properties
We present a state‐of‐the‐art report on time‐dependent flow topology. We survey
representative papers in visualization and provide a taxonomy of existing approaches that …
representative papers in visualization and provide a taxonomy of existing approaches that …
Vector field topology of time-dependent flows in a steady reference frame
The topological analysis of unsteady vector fields remains to this day one of the largest
challenges in flow visualization. We build up on recent work on vortex extraction to define a …
challenges in flow visualization. We build up on recent work on vortex extraction to define a …
[HTML][HTML] Visualization and selection of dynamic mode decomposition components for unsteady flow
Abstract Dynamic Mode Decomposition (DMD) is a data-driven and model-free
decomposition technique. It is suitable for revealing spatio-temporal features of both …
decomposition technique. It is suitable for revealing spatio-temporal features of both …
Robust reference frame extraction from unsteady 2D vector fields with convolutional neural networks
Robust feature extraction is an integral part of scientific visualization. In unsteady vector field
analysis, researchers recently directed their attention towards the computation of near …
analysis, researchers recently directed their attention towards the computation of near …
The natural Helmholtz-Hodge decomposition for open-boundary flow analysis
The Helmholtz-Hodge decomposition (HHD), which describes a flow as the sum of an
incompressible, an irrotational, and a harmonic flow, is a fundamental tool for simulation and …
incompressible, an irrotational, and a harmonic flow, is a fundamental tool for simulation and …
Uncertain topology of 3d vector fields
M Otto, T Germer, H Theisel - 2011 IEEE Pacific Visualization …, 2011 - ieeexplore.ieee.org
We present a technique to visualize global uncertainty in stationary 3D vector fields by a
topological approach. We start from an existing approach for 2D uncertain vector field …
topological approach. We start from an existing approach for 2D uncertain vector field …
Rotation invariant vortices for flow visualization
We propose a new class of vortex definitions for flows that are induced by rotating
mechanical parts, such as stirring devices, helicopters, hydrocyclones, centrifugal pumps, or …
mechanical parts, such as stirring devices, helicopters, hydrocyclones, centrifugal pumps, or …