A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Algebraic geometry for computer-aided geometric design
IEEE Computer Graphics and Applications
Comparison of three curve intersection algorithms
Computer-Aided Design
Boundary evaluation of non-convex primitives to produce parametric trimmed surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
The synthesis of solids bounded by many faces
Communications of the ACM
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Representaiton of Rigid Solid Objects
Computer Aided Design: Modelling, Systems Engineering, CAD-Systems - CREST Advanced Course
An algorithm and data structure for 3D object synthesis using surface patch intersections
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
Winged edge polyhedron representation.
Winged edge polyhedron representation.
The n-dimensional extended convex differences tree (ECDT) for representing polyhedra
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
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Although curved-surface solid modeling systems achieve a higher level of accuracy than faceted systems, they also introduce a host of topological, geometric, and numerical complications. A method for calculating accurate boundary representations of solid models is introduced that reduces the impact of these complications. The method uses a pair of bounding polyhedral approximations to enclose the boundary of each object. A structural analysis automatically determines where to make adaptive refinements to the polyhedrons to assure the topological validity of the results. Potential singularities are localized. The implementation is an experimental extension to the Geometric Design Processor (GDP) solid modeling system.