81 citations · 91 across the 9 of their papers we have counts for
9 papers
Homology-Preserving Dimensionality Reduction via Adaptive Mapper and Landmark Isomap
Shakiba Khourashahi, Ilia Jahanshahi, Bei Wang +1
As data becomes increasingly central across engineering and scientific disciplines, effective visualization is essential for interpreting complex, high-dimensional structures. Dime…
TROPHY: A Topologically Robust Physics-Informed Tracking Framework for Tropical Cyclones
Lin Yan, Hanqi Guo, Thomas Peterka +2
Tropical cyclones (TCs) are among the most destructive weather systems. Realistically and efficiently detecting and tracking TCs are critical for assessing their impacts and risks.…
TopoSZ: Preserving Topology in Error-Bounded Lossy Compression
Lin Yan, Xin Liang, Hanqi Guo +1
Existing error-bounded lossy compression techniques control the pointwise error during compression to guarantee the integrity of the decompressed data. However, they typically do n…
Flexible and Probabilistic Topology Tracking with Partial Optimal Transport
Mingzhe Li, Xinyuan Yan, Lin Yan +2
In this paper, we present a flexible and probabilistic framework for tracking topological features in time-varying scalar fields using merge trees and partial optimal transport. Me…
Multilevel Robustness for 2D Vector Field Feature Tracking, Selection, and Comparison
Lin Yan, Paul Aaron Ullrich, Luke P. Van Roekel +2
Critical point tracking is a core topic in scientific visualization for understanding the dynamic behavior of time-varying vector field data. The topological notion of robustness h…
Reduced Connectivity for Local Bilinear Jacobi Sets
Daniel Klötzl, Tim Krake, Youjia Zhou +5
We present a new topological connection method for the local bilinear computation of Jacobi sets that improves the visual representation while preserving the topological structure…
Geometry-Aware Merge Tree Comparisons for Time-Varying Data with Interleaving Distances
Lin Yan, Talha Bin Masood, Farhan Rasheed +2
Merge trees, a type of topological descriptor, serve to identify and summarize the topological characteristics associated with scalar fields. They present a great potential for the…
Scalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualization
Lin Yan, Talha Bin Masood, Raghavendra Sridharamurthy +4
In topological data analysis and visualization, topological descriptors such as persistence diagrams, merge trees, contour trees, Reeb graphs, and Morse-Smale complexes play an ess…
Mathematical Foundations in Visualization
Ingrid Hotz, Roxana Bujack, Christoph Garth +1
Mathematical concepts and tools have shaped the field of visualization in fundamental ways and played a key role in the development of a large variety of visualization techniques.…