On the numerical condition of polynomials in Berstein form
Computer Aided Geometric Design
Algorithms for polynomials in Bernstein form
Computer Aided Geometric Design
Offsets of polynomial Be´zier curves: Hermite approximation with error bounds
Mathematical methods in computer aided geometric design II
Tolerance Representation and Analysis in Industrial Inspection
Journal of Intelligent and Robotic Systems
Best one-sided approximation of polynomials under L1 norm
Journal of Computational and Applied Mathematics - Selected papers of the international symposium on applied mathematics, August 2000, Dalian, China
Applied Semantics, International Summer School, APPSEM 2000, Caminha, Portugal, September 9-15, 2000, Advanced Lectures
Interval arithmetic and interval analysis: an introduction
Granular computing
Comparison of interval methods for plotting algebraic curves
Computer Aided Geometric Design
Degree reduction of disk Bézier curves
Computer Aided Geometric Design
Merging a pair of disk Bézier curves
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Interval implicitization of rational curves
Computer Aided Geometric Design
SLEVEs for planar spline curves
Computer Aided Geometric Design
3D Reconstruction of parametric curves: recovering the control points
Machine Graphics & Vision International Journal
Animating Chinese paintings through stroke-based decomposition
ACM Transactions on Graphics (TOG)
Computation of singularities and intersections of offsets of planar curves
Computer Aided Geometric Design
Topologically reliable approximation of composite Bézier curves
Computer Aided Geometric Design
The approximation of interval Bezier curves by a fuzzy rule-based system
Proceedings of the 2nd International Conference on Interaction Sciences: Information Technology, Culture and Human
Interval implicitization of parametric surfaces
ICICA'10 Proceedings of the First international conference on Information computing and applications
Mathematical and Computer Modelling: An International Journal
Unified representation of online and offline hand drawn graphics using bezier curve approximation
GREC'11 Proceedings of the 9th international conference on Graphics Recognition: new trends and challenges
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The interval Bezier curve, which, unlike other curve and surface approximation schemes, can transfer a complete description of approximation errors between diverse CAD/CAM systems that impose fundamentally incompatible constraints on their canonical representation schemes, is described. Interval arithmetic, which offers an essentially infallible way to monitor error propagation in numerical algorithms that use floating-point arithmetic is reviewed. Affine maps, the computations of which are key operations in the de Casteljau subdivision and degree-elevation algorithms for Bezier curves, the floating-point error propagation in such computations, approximation by interval polynomials, and approximation by interval Bezier curves are discussed.