Fundamentals of interactive computer graphics
Fundamentals of interactive computer graphics
Generalized scanning technique for display of parametrically defined surfaces
IEEE Computer Graphics and Applications
Surface algorithms using bounds on derivatives
Computer Aided Geometric Design
Adaptive forward differencing for rendering curves and surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Real-time rendering of trimmed surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Mathematical methods in computer aided geometric design
Rendering trimmed NURBS with adaptive forward differencing
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Estimating tessellation parameter intervals for rational curves and surfaces
ACM Transactions on Graphics (TOG)
Triangulation of NURBS surfaces through adaptive refinement
Machine Graphics & Vision International Journal
Computing intersections of rational patches
Machine Graphics & Vision International Journal
Estimating subdivision depth of Catmull-Clark surfaces
Journal of Computer Science and Technology - Special issue on computer graphics and computer-aided design
Estimating error bounds for binary subdivision curves/surfaces
Journal of Computational and Applied Mathematics
Error bounds for a convexity-preserving interpolation and its limit function
Journal of Computational and Applied Mathematics
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An algorithm to estimate subdivision depths for rational curves and surfaces is presented. The subdivision depth is not estimated for the given curve/surface directly. The algorithm computes a subdivision depth for the polynomial curve/surface of which the given rational curve/surface is the image under the standard perspective projection. This subdivision depth, however, guarantees the required flatness of the given curve/surface after the subdivision. This work has applications in surface rendering, surface/surface intersection, and mesh generation.