Abstract
The winged-edge data structure is advantageous for traversing the topological graph of the boundary representation of a solid object. This paper presents an algorithm for converting hierarchical boundary representations into representations in the winged-edge data structure. As a result of the conversion, the adjacency relationships of geometric entities embedded in hierarchical boundary representations,-which may be evaluated through boundary evaluation on solid objects defined via Boolean set-operations, can be easily and efficiently accessed.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Braid IC, Hillyard RC, Stroud IA (1980) Stepwise construction of polyhedra in geometric modelling. In: Brodie KW (ed) Mathematical Methods in Computer Graphics and Design. Academic Press, London, pp. 123–141.
Woo TC, Wolter JD (1984) A constant expected time, linear storage data structure for representing three-dimensional Object. IEEE Trans Syst Man Cybern SMC-14(3):510–515
Brown CM (1982) PADL-2 a technical summary. IEEE Comput Graph Appl 2(2):69–84
Hartquist EE, Peterson DP, Voelcker HB (1981) BFILE/2: a boundary file for PADL-2. Computational Geometry Group Memo. No. 20, (CGGM-20), Production Automation Project, Univ Rochester (March 1981)
Weiler K (1985) Edge-based data structures for solid modelling in curved-surface environments. IEEE Comput Graph Appl 5(1):21–40
Baumgart BG (1974) Geometric modelling for computer vision. Ph.D. Dissertation, Dept Comput Sci, Stanford Univ (August 1974)
Wilson PR (1985) Euler formulas and geometric modelling. IEEE Comput Graph Appl 5(8):24–36
Silva CE (1981) Alternative definitions of faces in boundary representations of solid objects. Tech Memo. No. 36, (TM-36), Production Automation Project, Univ Rochester, (November 1981)
Tan ST, Chan KC (1986) Generation of high order surfaces over arbitrary polyhedral meshes. Computer-Aided Design 18(8):411–423
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chan, K.C., Tan, S.T. Hierarchical structure to winged-edge structure: a conversion algorithm. The Visual Computer 4, 133–141 (1988). https://doi.org/10.1007/BF01908896
Issue Date:
DOI: https://doi.org/10.1007/BF01908896