Describing shapes by geometrical-topological properties of real functions

S Biasotti, L De Floriani, B Falcidieno… - ACM Computing …, 2008 - dl.acm.org
Differential topology, and specifically Morse theory, provide a suitable setting for formalizing
and solving several problems related to shape analysis. The fundamental idea behind …

Visual analysis of biomolecular cavities: State of the art

M Krone, B Kozlíková, N Lindow… - Computer Graphics …, 2016 - Wiley Online Library
In this report we review and structure the branch of molecular visualization that is concerned
with the visual analysis of cavities in macromolecular protein structures. First the necessary …

Characterizing molecular interactions in chemical systems

D Günther, RA Boto, J Contreras-Garcia… - IEEE transactions on …, 2014 - ieeexplore.ieee.org
Interactions between atoms have a major influence on the chemical properties of molecular
systems. While covalent interactions impose the structural integrity of molecules …

Description of induced nuclear fission with Skyrme energy functionals: Static potential energy surfaces and fission fragment properties

N Schunck, D Duke, H Carr, A Knoll - Physical Review C, 2014 - APS
Eighty years after its experimental discovery, a description of induced nuclear fission based
solely on the interactions between neutrons and protons and quantum many-body methods …

Nonplanar 3D printing of bifurcating forms

I Mitropoulou, M Bernhard… - 3D printing and additive …, 2022 - liebertpub.com
The introduction of robotic arms in additive manufacturing enables the scaling up of three-
dimensional (3D) printing processes and the realization of nonplanar path geometries. As a …

Interstitial and interlayer ion diffusion geometry extraction in graphitic nanosphere battery materials

A Gyulassy, A Knoll, KC Lau, B Wang… - IEEE transactions on …, 2015 - ieeexplore.ieee.org
Large-scale molecular dynamics (MD) simulations are commonly used for simulating the
synthesis and ion diffusion of battery materials. A good battery anode material is determined …

Geometric detection algorithms for cavities on protein surfaces in molecular graphics: a survey

T Simões, D Lopes, S Dias, F Fernandes… - Computer graphics …, 2017 - Wiley Online Library
Detecting and analysing protein cavities provides significant information about active sites
for biological processes (eg protein–protein or protein–ligand binding) in molecular graphics …

Separatrix persistence: Extraction of salient edges on surfaces using topological methods

T Weinkauf, D Günther - Computer Graphics Forum, 2009 - Wiley Online Library
Salient edges are perceptually prominent features of a surface. Most previous extraction
schemes utilize the notion of ridges and valleys for their detection, thereby requiring …

Surface feature based mesh segmentation

J Wang, Z Yu - Computers & Graphics, 2011 - Elsevier
Mesh segmentation has a variety of applications in product design, reverse engineering,
and rapid prototyping fields. This paper presents a novel algorithm of mesh segmentation …

Topological feature extraction and tracking

PT Bremer, EM Bringa, MA Duchaineau… - Journal of Physics …, 2007 - iopscience.iop.org
Scientific datasets obtained by measurement or produced by computational simulations
must be analyzed to understand the phenomenon under study. The analysis typically …