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 …

Temporal merge tree maps: A topology-based static visualization for temporal scalar data

W Köpp, T Weinkauf - IEEE Transactions on Visualization and …, 2022 - ieeexplore.ieee.org
Creating a static visualization for a time-dependent scalar field is a non-trivial task, yet very
insightful as it shows the dynamics in one picture. Existing approaches are based on a …

Discrete sizing optimization of stepped cylindrical silo using PSO method and implicit dynamic FE analysis

Z Tian, D Jiao - Engineering with Computers, 2021 - Springer
Considering the size discreteness of commercially available metal plates and the intrinsic
buckling strength vulnerability of slender silo, this paper proposed a methodology, which …

A visual method for analysis and comparison of search landscapes

S Volke, D Zeckzer, G Scheuermann… - Proceedings of the 2015 …, 2015 - dl.acm.org
Combinatorial optimization problems and corresponding (meta-) heuristics have received
much attention in the literature. Especially, the structural or topological analysis of search …

Fitting Curves with Fractional Implicit Polynomials: A PSO-Assisted Monomial Combination Optimization Framework

Y Tong, L Yu, W Li, J Liu, L Hou… - 2023 7th Asian …, 2023 - ieeexplore.ieee.org
Implicit polynomial can efficiently represent the object contour for the curve fitting, and
fractional implicit polynomial (FIP) is capable of describing complex objects at lower degree …

Visualizing topological properties of the search landscape of combinatorial optimization problems

S Volke, D Zeckzer, M Middendorf… - Topological Methods in …, 2017 - Springer
Discrete combinatorial optimization problems such as the Traveling Salesman Problem
have various applications in science and in everyday life. The complexity of the problem and …

Visual analysis of discrete particle swarm optimization using fitness landscapes

S Volke, S Bin, D Zeckzer, M Middendorf… - Recent Advances in the …, 2014 - Springer
Particle swarm optimization (PSO) is a metaheuristic where a swarm of particles moves
within a search space in order to find an optimal solution. PSO has been applied to …

Visualizing the search dynamics in a high-dimensional space for a particle swarm optimizer

Q Duan, C Shao, X Li, Y Shi - … SEAL 2017, Shenzhen, China, November 10 …, 2017 - Springer
Visualization of an evolutionary algorithm may lead to better understanding of how it works.
In this paper, three dimension reduction techniques (ie PCA, Sammon mapping, and …

Static Visualizations for Dynamic Hierarchies

W Köpp - 2022 - diva-portal.org
Dynamic hierarchical data describes phenomena in a wide range of domains, from file
management to demographics and business administration, as well as feature extraction …

Comparing the optimization behaviour of heuristics with topology based visualization

S Bin, S Volke, G Scheuermann… - Theory and Practice of …, 2014 - Springer
In this paper we propose some changes and extensions of the visualization approach that is
used in the visualization tool dPSO-Vis. It is shown also how corresponding visualizations …