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 …
We present a state‐of‐the‐art report on time‐dependent flow topology. We survey representative papers in visualization and provide a taxonomy of existing approaches that …
Terrestrial laser scanning (TLS) is a ground-based approach to rapidly acquire 3D point clouds via Light Detection and Ranging (LiDAR) technologies. Quantifying tree-scale …
We show how discrete Morse theory provides a rigorous and unifying foundation for defining skeletons and partitions of grayscale digital images. We model a grayscale image as a …
N Shivashankar, P Pranav, V Natarajan… - … on Visualization and …, 2015 - ieeexplore.ieee.org
The large-scale structure of the universe is comprised of virialized blob-like clusters, linear filaments, sheet-like walls and huge near empty three-dimensional voids. Characterizing the …
L De Floriani, U Fugacci, F Iuricich… - Computer graphics …, 2015 - Wiley Online Library
Morse theory offers a natural and mathematically‐sound tool for shape analysis and understanding. It allows studying the behavior of a scalar function defined on a manifold …
M Pont, J Vidal, J Delon, J Tierny - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This paper presents a unified computational framework for the estimation of distances, geodesics and barycenters of merge trees. We extend recent work on the edit distance 104 …
M Pont, J Vidal, J Tierny - IEEE Transactions on Visualization …, 2022 - ieeexplore.ieee.org
This article presents a computational framework for the Principal Geodesic Analysis of merge trees (MT-PGA), a novel adaptation of the celebrated Principal Component Analysis …
P Guillou, J Vidal, J Tierny - IEEE Transactions on Visualization …, 2023 - ieeexplore.ieee.org
This paper introduces an efficient algorithm for persistence diagram computation, given an input piecewise linear scalar field defined on a-dimensional simplicial complex, with. Our …