A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Fundamentals of interactive computer graphics
Fundamentals of interactive computer graphics
Generalized scanning technique for display of parametrically defined surfaces
IEEE Computer Graphics and Applications
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Scan line methods for displaying parametrically defined surfaces
Communications of the ACM
The triangle processor and normal vector shader: a VLSI system for high performance graphics
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Subanosecond pixel rendering with million transistor chips
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Rendering trimmed NURBS with adaptive forward differencing
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
High-performance polygon rendering
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
A display system for the Stellar graphics supercomputer model GS1000
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Ray tracing parametric patches
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
A fast scan-line algorithm for rendering parametric surfaces
SIGGRAPH '79 Proceedings of the 6th annual conference on Computer graphics and interactive techniques
SIGGRAPH '79 Proceedings of the 6th annual conference on Computer graphics and interactive techniques
A subdivision algorithm for computer display of curved surfaces.
A subdivision algorithm for computer display of curved surfaces.
Ray tracing trimmed rational surface patches
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Constructing easily invertible Be´zier surfaces that parameterize general quadrics
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Estimating subdivision depths for rational curves and surfaces
ACM Transactions on Graphics (TOG)
Interactive display of large-scale NURBS models
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
Adaptive isocurve-based rendering for freeform surfaces
ACM Transactions on Graphics (TOG)
Comparison of surface and derivative evaluation methods for the rendering of NURB surfaces
ACM Transactions on Graphics (TOG)
The power of coherence: fast tessellation of surfaces
Proceedings of the twelfth annual symposium on Computational geometry
Accelerated walkthrough of large spline models
Proceedings of the 1997 symposium on Interactive 3D graphics
View-dependent refinement of progressive meshes
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Quadratic Bezier triangles as drawing primitives
HWWS '98 Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Matchmaker: manifold BReps for non-manifold r-sets
Proceedings of the fifth ACM symposium on Solid modeling and applications
Real-time rendering of deformable parametric free-form surfaces
Proceedings of the ACM symposium on Virtual reality software and technology
VRML '00 Proceedings of the fifth symposium on Virtual reality modeling language (Web3D-VRML)
Estimating tessellation parameter intervals for rational curves and surfaces
ACM Transactions on Graphics (TOG)
Adaptive view dependent tessellation of displacement maps
HWWS '00 Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Scalable parallel algorithms for interactive visualization of curved surfaces
Supercomputing '96 Proceedings of the 1996 ACM/IEEE conference on Supercomputing
Watertight tessellation using forward differencing
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Multiresolution rendering by sewing trimmed NURBS surfaces
Proceedings of the seventh ACM symposium on Solid modeling and applications
Step length problem for trimming curve approximation in tessellating trimmed surfaces
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Interactive Display of Large NURBS Models
IEEE Transactions on Visualization and Computer Graphics
Edgebreaker: Connectivity Compression for Triangle Meshes
IEEE Transactions on Visualization and Computer Graphics
Incremental polygonization of deforming NURBS surfaces
Journal of Graphics Tools
Computational Methods for Geometric Processing. Applications to Industry
ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I
ACM SIGGRAPH 2003 Papers
Accurate display of tensor product isosurfaces
VIS '90 Proceedings of the 1st conference on Visualization '90
Multi-valued volumetric visualization
VIS '91 Proceedings of the 2nd conference on Visualization '91
Triangulation and display of rational parametric surfaces
VIS '94 Proceedings of the conference on Visualization '94
Computer Aided Geometric Design
Incremental rendering of deformable trimmed NURBS surfaces
Proceedings of the ACM symposium on Virtual reality software and technology
GPU-based trimming and tessellation of NURBS and T-Spline surfaces
ACM SIGGRAPH 2005 Papers
Two triangulation methods based on edge refinement
Computing - Geometric modelling dagstuhl 2002
B-rep SE: simplicially enhanced boundary representation
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Hardware support for adaptive tessellation of Bézier surfaces based on local tests
Journal of Systems Architecture: the EUROMICRO Journal
Direct evaluation of NURBS curves and surfaces on the GPU
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Real-time view-dependent rendering of parametric surfaces
Proceedings of the 2009 symposium on Interactive 3D graphics and games
Direct trimming of NURBS surfaces on the GPU
ACM SIGGRAPH 2009 papers
Surface Triangulation and the Downstream Effects on Flattening
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
DiagSplit: parallel, crack-free, adaptive tessellation for micropolygon rendering
ACM SIGGRAPH Asia 2009 papers
Robust uniform triangulation algorithm for computer aided design
Computer-Aided Design
A new method for speeding up ray tracing NURBS surfaces
Computers and Graphics
Optimized GPU evaluation of arbitrary degree NURBS curves and surfaces
Computer-Aided Design
A robust efficient tracing scheme for triangulating trimmed parametric surfaces
Computer-Aided Design
Constrained delaunay triangulation using delaunay visibility
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
Interactive high quality trimmed NURBS visualization using appearance preserving tessellation
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Technical note: Filling trim cracks on GPU-rendered solid models
Computer-Aided Design
Virtual volume resection using multi-resolution triangular representation of B-spline surfaces
Computer Methods and Programs in Biomedicine
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Rational tensor product surfaces, (Bézier, NURBS, Hermite, polynomial, etc.) are rendered in real-time by uniform faceting. The described methods are modular and can be balanced for optimal implementation on different hardware platforms. Discretization anomalies such as angularities, Mach banding, cracking etc. are avoided by tessellating the surface patches and segmenting the trimming curves based on the view.