Two moving coordinate frames for sweeping along a 3D trajectory
Computer Aided Geometric Design
Introduction to algorithms
Hidden curve removal for free form surfaces
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
Computing moments of objects enclosed by piecewise polynomial surfaces
ACM Transactions on Graphics (TOG)
Volume-Preserving Free-Form Solids
IEEE Transactions on Visualization and Computer Graphics
The notion of quantitative invisibility and the machine rendering of solids
ACM '67 Proceedings of the 1967 22nd national conference
Mold Accessibility via Gauss Map Analysis
SMI '04 Proceedings of the Shape Modeling International 2004
Two-Dimensional Visibility Charts for Continuous Curves
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Self-intersection detection and elimination in freeform curves and surfaces
Computer-Aided Design
Critical point analysis using domain lifting for fast geometry queries
Computer-Aided Design
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Freeform rational parametric curves and surfaces have been playing a major role in computer aided design for several decades. The ability to analyze local (differential) properties of parametric curves is well established and extensively exploited. In this work, we explore a different lifting approach to global analysis of freeform geometry, mostly curves, in IR2 and IR3. In this lifting scheme, we promote the problem into a higher dimension, where we find that in the higher dimension, the solution is simplified.