Journal of Approximation Theory
The approximation of non-degenerate offset surfaces
Computer Aided Geometric Design
On the numerical condition of polynomials in Berstein form
Computer Aided Geometric Design
Curvature bounds for planar B-spline curve segments
Computer-Aided Design
Algorithms for polynomials in Bernstein form
Computer Aided Geometric Design
Twists, curvatures and surface interrogation
Computer-Aided Design - Special issue on the shape of surfaces
Scan line display of algebraic surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Hidden curve removal for free form surfaces
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Free form surface analysis using a hybrid of symbolic and numeric computation
Free form surface analysis using a hybrid of symbolic and numeric computation
Algorithms for degree-raising of splines
ACM Transactions on Graphics (TOG)
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
An application of color graphics to the display of surface curvature
SIGGRAPH '81 Proceedings of the 8th annual conference on Computer graphics and interactive techniques
SIGGRAPH '79 Proceedings of the 6th annual conference on Computer graphics and interactive techniques
Tool path generation for freeform surface models
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
Arbitrarily precise computation of Gauss maps and visibility sets for freeform surfaces
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Adaptive isocurve-based rendering for freeform surfaces
ACM Transactions on Graphics (TOG)
Interactive Direct Rendering of Trivariate B-Spline Scalar Functions
IEEE Transactions on Visualization and Computer Graphics
An Intestinal Surgery Simulator: Real-Time Collision Processing and Visualization
IEEE Transactions on Visualization and Computer Graphics
The convex hull of freeform surfaces
Computing - Geometric modelling dagstuhl 2002
Adaptive resolution of 1D mechanical B-spline
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Sliding windows algorithm for B-spline multiplication
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Piecewise developable surface approximation of general NURBS surfaces, with global error bounds
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Interactive high quality trimmed NURBS visualization using appearance preserving tessellation
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Global obstacle avoidance and minimum workpiece setups in five-axis machining
Computer-Aided Design
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Results from analyzing the curvature of a surface can be used to improve the implementation, efficiency, and effectiveness of manufacturing and visualization of sculptured surfaces.We develop a robust method using hybrid symbolic and numeric operators to create trimmed surfaces, each of which is solely convex, concave, or saddle and partitions the original surface. The same method is also used to identify regions whose curvature lies within prespecified bounds.