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ALPHA

Financiado

Alpha Shape Theory Extended

Alpha shapes were invented in the early 80s of last century, and their implementation in three dimensions in the early 90s was at the forefront of the exact arithmetic paradigm that enabled fast and correct geometric software. In... ver más

30/06/2023

IST AUSTRIA

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Ver 2 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2023-06-30

Línea de financiación objetivo El proyecto se financió a través de la siguiente ayuda:

ERC-2017-ADG: ERC Advanced Grant

I+D

Cerrada hace 7 años

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2 Participantes

IST AUSTRIA

1.68M€ | Lider

GENDIAG.EXE

1.91M€ | Participante

Últimas noticias

29-11-2024: IDAE En las últimas 48 horas el Organismo IDAE ha otorgado 4 concesiones

29-11-2024: ECE En las últimas 48 horas el Organismo ECE ha otorgado 2 concesiones

29-11-2024: CMVAMADRID En las últimas 48 horas el Organismo CMVAMADRID ha otorgado 37 concesiones

Duración del proyecto: 60 meses Fecha Inicio: 2018-06-08
Fecha Fin: 2023-06-30

Líder del proyecto

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA

TRL 4-5

Presupuesto del proyecto 2M€

Descripción del proyecto Alpha shapes were invented in the early 80s of last century, and their implementation in three dimensions in the early 90s was at the forefront of the exact arithmetic paradigm that enabled fast and correct geometric software. In the late 90s, alpha shapes motivated the development of the wrap algorithm for surface reconstruction, and of persistent homology, which was the starting point of rapidly expanding interest in topological algorithms aimed at data analysis questions. We now see alpha shapes, wrap complexes, and persistent homology as three aspects of a larger theory, which we propose to fully develop. This viewpoint was a long time coming and finds its clear expression within a generalized version of discrete Morse theory. This unified framework offers new opportunities, including (I) the adaptive reconstruction of shapes driven by the cavity structure; (II) the stochastic analysis of all aspects of the theory; (III) the computation of persistence of dense data, both in scale and in depth; (IV) the study of long-range order in periodic and near-periodic point configurations. These capabilities will significantly deepen as well as widen the theory and enable new applications in the sciences. To gain focus, we concentrate on low-dimensional applications in structural molecular biology and particle systems.

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