Scalar field comparison with topological descriptors: Properties and applications for scientific visualization

L Yan, TB Masood, R Sridharamurthy… - Computer Graphics …, 2021 - Wiley Online Library
detection, periodicity detection, key event/feature detection, … descriptors described in this
section are rooted in Morse … merge trees are inherently tree-based representations. Inspired by …

Scale-Free Image Keypoints Using Differentiable Persistent Homology

G Barbarani, F Vaccarino, G Trivigno, M Guerra… - arXiv preprint arXiv …, 2024 - arxiv.org
… This paper introduces a novel approach that leverages Morse theory and persistent …
Tree-based morse regions: A topological approach to local feature detection. IEEE Transactions on …

[HTML][HTML] Surfaces—Topography and topology

GW Wolf - Surface Topography: Metrology and Properties, 2020 - iopscience.iop.org
approaches presented within this paper are based on Morse functions, their most relevant
features in … When ignoring the regions of the Morse-Smale complex and considering merely its …

Coherent topological landscapes for simulation ensembles

M Evers, M Herick, V Molchanov, L Linsen - International Joint Conference …, 2020 - Springer
… all data points for a contour tree-based uncertainty visualization [42] … , the area can encode
the volume of the topological feature. … To avoid noise introduced by the creation of the Morse

[PDF][PDF] Extreme Feature Regions for Image Matching.

B Fan, Y Rao, J Pu, J Deng - PG (Short Papers and Posters), 2018 - diglib.eg.org
… in Morse theory to calculate precise extreme feature regions. … Local invariant feature
detector can occupy very important … Morse theory aimed at describe the topological changes of …

Learning topology: bridging computational topology and machine learning

D Moroni, MA Pascali - Pattern recognition and image analysis, 2021 - Springer
… of computational topology [29] to data analysis boosted a renewed interest in that field, and
topologicaltopology, eg, Morse theory or persistent homology, to analyse and visualize data. …

Hierarchical segmentation using tree-based shape spaces

Y Xu, E Carlinet, T Géraud… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
… We weigh the boundaries of a subset of meaningful regions (local minima) in the shape …
Najman, “Tree-based morse regions: A topological approach to local feature detection,” IEEE …

Feature Extraction Using Topological Data Analysis for Machine Learning and Network Science Applications

W Guo - 2020 - digital.lib.washington.edu
… -valued function (Morse function), topological transition of M … certain topology features of X
and helps to point to areas of … These models represent a linear model, a tree-based model, …

Extreme feature regions detection and accurate quality assessment for point-cloud 3D reconstruction

Y Rao, B Fan, Q Wang, J Pu, X Luo, R Jin - IEEE Access, 2019 - ieeexplore.ieee.org
… affineinvariant feature detection and matching method which … points in Morse theory called
precise extreme feature region (… Tree-based Morse regions: A topological approach to local

A new application of discrete morse theory to optimizing safe motion planning paths

A Upadhyay, B Goldfarb, W Wang… - International Workshop on …, 2022 - Springer
method for extracting geometric and topological features … Roadmap Method (PRM) [17] and
tree-based methods such as … 7, we noticed that our topology map captured nodes in regions