Publicación: EFFICIENT COMPUTATION OF THE CONVEX HULL ON SETS OF POINTS STORED IN A K-TREE COMPACT DATA STRUCTURE
| dc.creator | CARLOS FELIPE QUIJADA FUENTES | |
| dc.creator | MIGUEL ESTEBAN ROMERO VÁSQUEZ | |
| dc.creator | MÓNICA ALEJANDRA CANIUPÁN MARILEO | |
| dc.creator | GILBERTO ANTONIO GUTIÉRREZ RETAMAL | |
| dc.date | 2020 | |
| dc.date.accessioned | 2025-01-10T15:16:16Z | |
| dc.date.available | 2025-01-10T15:16:16Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | IN THIS PAPER, WE PRESENT TWO ALGORITHMS TO OBTAIN THE CONVEX HULL OF A SET OF POINTS THAT ARE STORED IN THE COMPACT DATA STRUCTURE CALLED K2-TREE. THIS PROBLEM CONSISTS IN GIVEN A SET OF POINTS P IN THE EUCLIDEAN SPACE OBTAINING THE SMALLEST CONVEX REGION (POLYGON) CONTAINING P. TRADITIONAL ALGORITHMS TO COMPUTE THE CONVEX HULL DO NOT SCALE WELL FOR LARGE DATABASES, SUCH AS SPATIAL DATABASES, SINCE THE DATA DOES NOT RESIDE IN MAIN MEMORY. WE USE THE K2-TREE COMPACT DATA STRUCTURE TO REPRESENT, IN MAIN MEMORY, EFFICIENTLY A BINARY ADJACENCY MATRIX REPRESENTING POINTS OVER A 2D SPACE. THIS STRUCTURE ALLOWS AN EFFICIENT NAVIGATION IN A COMPRESSED FORM. THE EXPERIMENTATIONS PERFORMED OVER SYNTHETICAL AND REAL DATA SHOW THAT OUR PROPOSED ALGORITHMS ARE MORE EFFICIENT. IN FACT THEY PERFORM OVER FOUR ORDER OF MAGNITUDE COMPARED WITH ALGORITHMS WITH TIME COMPLEXITY OF O(NLOGN). | |
| dc.format | application/pdf | |
| dc.identifier.doi | 10.1007/s10115-020-01486-9 | |
| dc.identifier.issn | 0219-3116 | |
| dc.identifier.issn | 0219-1377 | |
| dc.identifier.uri | https://repositorio.ubiobio.cl/handle/123456789/11219 | |
| dc.language | spa | |
| dc.publisher | KNOWLEDGE AND INFORMATION SYSTEMS | |
| dc.relation.uri | 10.1007/s10115-020-01486-9 | |
| dc.rights | PUBLICADA | |
| dc.title | EFFICIENT COMPUTATION OF THE CONVEX HULL ON SETS OF POINTS STORED IN A K-TREE COMPACT DATA STRUCTURE | |
| dc.title.alternative | CÁLCULO EFICIENTE DEL CASCO CONVEXO EN CONJUNTOS DE PUNTOS ALMACENADOS EN UNA ESTRUCTURA DE DATOS COMPACTA DE K-TREE | |
| dc.type | ARTÍCULO | |
| dspace.entity.type | Publication | |
| ubb.Estado | PUBLICADA | |
| ubb.Otra Reparticion | DEPARTAMENTO DE CIENCIAS DE LA COMPUTACION Y TECNOLOGIA DE LA INFORMACION. | |
| ubb.Otra Reparticion | DEPARTAMENTO DE CIENCIAS DE LA COMPUTACION Y TECNOLOGIA DE LA INFORMACION. | |
| ubb.Otra Reparticion | DEPARTAMENTO DE SISTEMAS DE INFORMACION | |
| ubb.Otra Reparticion | DEPARTAMENTO DE CIENCIAS DE LA COMPUTACION Y TECNOLOGIA DE LA INFORMACION. | |
| ubb.Sede | CHILLÁN | |
| ubb.Sede | CHILLÁN | |
| ubb.Sede | CONCEPCIÓN | |
| ubb.Sede | CHILLÁN |
