Fuzzy geometric object modelling

Li, Qingde; Guo, Sizong

Abstract

Fuzzy geometric object modelling has been one of the fundamental tasks in computer graphics. In this paper, we investigated and developed techniques for modelling fuzzy objects based on fuzzy set theory. With the proposed techniques any conventional geometric objects, such as points, lines, triangles, and curved surfaces can all be easily extended as certain kind of fuzzy sets to represent geometric objects with fuzzy boundaries. In addition, experimental results are presented to demonstrate how 3D fuzzy shapes represented in this way can be rendered efficiently and effectively in multiple passes using shader programs running entirely on programmable GPUs.

Citation

Li, Q., & Guo, S. (2007). Fuzzy geometric object modelling. Advances in Soft Computing; Fuzzy Information and Engineering (551-563). Berlin, Heidelberg: Spinger. https://doi.org/10.1007/978-3-540-71441-5_60

• Acceptance Date: Jan 1, 2007
• Publication Date: Jan 1, 2007
• Journal: Advances in Soft Computing
• Volume: 40
• Pages: 551-563
• Series Number: 40
• Book Title: Advances in Soft Computing; Fuzzy Information and Engineering
• ISBN: 9783540714408
• DOI: https://doi.org/10.1007/978-3-540-71441-5_60
• Keywords: Fuzzy geometry; Fuzzy curves; Fuzzy shape modelling
• Public URL: https://hull-repository.worktribe.com/output/423865
• Publisher URL: https://link.springer.com/chapter/10.1007%2F978-3-540-71441-5_60