A fast wireframe display algorithm for hidden surface removal in constructive solid geometry

Shyr Long Jeng, Wei-Hua Chieng, D. A. Hoeltzel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


A fast algorithm for rendering three dimensional geometry as wireframes is developed. The algorithm employs a constructive solid geometry (CSG) model as its underlying geometric representation scheme, set membership classification for the removal of non-boundary lines, and a finite-point backward ray tracing method for hidden line removal. By eliminating conventional polygon surface approximation and its associated surface topology representation, requiring high information overhead, the algorithm demonstrates speed and simplicity. The primary purpose of the algorithm is for expeditious real-time graphical simulation, particularly for interactive design. The algorithm demonstrates overall time complexity of O(n2 h * 2 ), where n denotes the total number of geometric primitives, and h denotes the total number of boundary edge segments. Desirable side effects associated with the use of set membership classification include the ability to generate NC machine instructions and the detection of object interference for collision avoidance during the simulation of manufacturing processes. Examples demonstrating the visualization of 3-D mechanical components are included.

Original languageEnglish
Title of host publicationFinite Elements/Computational Geometry; Computers in Education; Robotics and Controls
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages12
ISBN (Electronic)9780791897768
StatePublished - Sep 1991
EventASME 1991 Design Technical Conferences, DETC 1991 - Miami, United States
Duration: 22 Sep 199125 Sep 1991

Publication series

NameProceedings of the ASME Design Engineering Technical Conference


ConferenceASME 1991 Design Technical Conferences, DETC 1991
Country/TerritoryUnited States


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