3 papers
cs.CG2026
Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints
Tanner Finken, Jixian Li, Bei Wang +2
Topological analysis of scalar fields yields structures such as the Morse-Smale complex (MSC) that summarize salient features across multiple scales. Existing MSC extraction algori…
cs.GR2025
Localized Evaluation for Constructing Discrete Vector Fields
Tanner Finken, Julien Tierny, Joshua A Levine
Topological abstractions offer a method to summarize the behavior of vector fields but computing them robustly can be challenging due to numerical precision issues. One alternative…
cs.LG2025
Topology Aware Neural Interpolation of Scalar Fields
Mohamed Kissi, Keanu Sisouk, Joshua A. Levine +1
This paper presents a neural scheme for the topology-aware interpolation of time-varying scalar fields. Given a time-varying sequence of persistence diagrams, along with a sparse t…