Reconstructing persistent graph structures from noisy images

Let a point cloud be a noisy dotted image of a graph on the plane. We present a new fast algorithm for reconstructing the original graph from the given point cloud. Degrees of vertices in the graph are found by methods of persistent topology. Necessary parameters are automatically optimized by machi...

Descripción completa

Detalles Bibliográficos
Autores: Chernov, Alexey, Kurlin, Vitaliy
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/26521
Acceso en línea:http://hdl.handle.net/11441/26521
Access Level:acceso abierto
Palabra clave:Graph reconstruction
Noisy image
Point cloud data
Persistent topology
Descripción
Sumario:Let a point cloud be a noisy dotted image of a graph on the plane. We present a new fast algorithm for reconstructing the original graph from the given point cloud. Degrees of vertices in the graph are found by methods of persistent topology. Necessary parameters are automatically optimized by machine learning tools.