Title
Beta-connection: an approach to generate families of models from planar sections
Abstract
Abstract. A new three-dimensional reconstruction technique is presented that uses an integer control parameter, denoted β, to produce a family of models from a given set of planar cross-sections. Parameter β supports multiple choices for solving the correspondence problem, i.e., the problem of deciding which regions from two consecutive cross-sections must be connected into a single component. Thus, unlike current reconstruction methods, the beta-connection algorithm enables the consideration of multiple alternatives when establishingregion correspondence. In addition to this flexibility, which is useful in creating models with complex topologies, the algorithm produces PL-manifolds and respects the re-sampling condition, thus providing an interesting reconstruction solution for many practical visualization and numerical simulation applications.
Year
DOI
Venue
2002
10.1109/SIBGRA.2002.1167142
SIBGRAPI
Keywords
Field
DocType
computational geometry,equivalence classes,mesh generation,solid modelling,PL-manifolds,beta-connection,data visualization,integer control parameter,models from planar sections,numerical simulation,three-dimensional reconstruction technique
Integer,Mathematical optimization,Computer simulation,Visualization,Computational geometry,Algorithm,Network topology,Equivalence class,Correspondence problem,Mathematics,Mesh generation
Conference
ISSN
ISBN
Citations 
1530-1834
0-7695-1846-X
0
PageRank 
References 
Authors
0.34
9
4
Name
Order
Citations
PageRank
Alex Jesus Cuadros-Vargas100.34
Luis G. Nonato279755.35
Rosane Minghim358938.81
Maria Cristina F. De Oliveira423813.18