A survey of topology‐based methods in visualization

C Heine, H Leitte, M Hlawitschka… - Computer Graphics …, 2016 - Wiley Online Library
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 …

Toward feature-preserving vector field compression

X Liang, S Di, F Cappello, M Raj, C Liu… - … on Visualization and …, 2022 - ieeexplore.ieee.org
The objective of this work is to develop error-bounded lossy compression methods to
preserve topological features in 2D and 3D vector fields. Specifically, we explore the …

[PDF][PDF] Toward Feature-Preserving 2D and 3D Vector Field Compression.

X Liang, H Guo, S Di, F Cappello, M Raj, C Liu, K Ono… - PacificVis, 2020 - cels.anl.gov
The objective of this work is to develop error-bounded lossy compression methods to
preserve topological features in 2D and 3D vector fields. Specifically, we explore the …

Preserving Topological Feature with Sign-of-Determinant Predicates in Lossy Compression: A Case Study of Vector Field Critical Points

M Xia, S Di, F Cappello, P Jiao, K Zhao… - 2024 IEEE 40th …, 2024 - ieeexplore.ieee.org
Lossy compression has been employed to reduce the unprecedented amount of data
produced by today's large-scale scientific simulations and high-resolution instruments. To …

Vector field radial basis function approximation

M Smolik, V Skala, Z Majdisova - Advances in Engineering Software, 2018 - Elsevier
Vector field simplification aims to reduce the complexity of the flow by removing features
according to their relevance and importance. Our goal is to preserve only the important …

Introduction to vector field topology

T Günther, I Baeza Rojo - Topological Methods in Data Analysis and …, 2021 - Springer
Flow visualization is a research discipline that is concerned with the visual exploration and
analysis of vector fields. An important class of methods are the topology-based techniques …

Compact radial zigzag for five-axis machining of STL surfaces

LV Dang, K Vacharanukul, SS Makhanov - The International Journal of …, 2019 - Springer
The paper presents a new method to generate efficient milling toolpaths for five-axis
sculptured surface machining in an important case when the vector field of preferred …

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

M Smolik, V Skala - Mathematics and Computers in Simulation, 2021 - Elsevier
We propose a new approach for meshless multi-level radial basis function (ML-RBF)
approximation which offers data-sensitive compression and progressive details …

Enhanced vector flow of significant directions for five-axis machining of STL surfaces

L Van Dang, S Makhanov - International Journal of Production …, 2021 - Taylor & Francis
Matching a five-axis toolpath and a vector field (VF) of preferred directions (VFPD) is
increasingly popular in the five-axis machining industry. However, surfaces represented by …

Classification of critical points using a second order derivative

V Skala - Procedia Computer Science, 2017 - Elsevier
This article presents a new method for classification of critical points. A vector field is usually
classified using only a Jacobian matrix of the approximated vector field. This work shows …