Bézier Representation Curves
Bernstein Polynomials

cf. Section 2.1 (PBP'99)
Basis functions for polynomial curves in Bézier Representation
Applet    Info
De Casteljau algorithm

cf. Section ? (PBP'99)
De Casteljau algorithm
Applet    Info
Degree elevation

cf. Section ? (PBP'99)
Degree elevation and approximative reduction
Applet    Info
Polynomial Curves

cf. Section 2.2/2.3 (PBP'99)
Bézier representation of polynomial curves and evaluation with the de Casteljau algorithm.
Applet    Info
Rational Curves

cf. Section 22.7 (BP'94)
Bézier representation of polynomial curves and evaluation with the de Casteljau algorithm.
Applet    Info
Conics

cf. Sections 14.5 and 22.7 (BP'94)
Conics as special rational curves.
Applet    Info
B-Spline Representation Curves
B-Splines

cf. Sections 5.2/5.3 (PBP'99)
Piecewise polynomial functions - basis functions for polynomial spline curves.
Applet    Info
Spline Curves

cf. Section 5.1 (PBP'99)
Piecewise polynomial curves in B-spline representation.
Applet    Info
De Boor Scheme

cf. Section 5.4(PBP'99)
Evaluation of a polynomial spline curve by de Boor's algorithm.
Applet    Info
Spline Division

cf. Section 6.1 (PBP'99)
Subdivision of a spline curve into two independent parts.
Applet    Info
B-Spline Rendering

cf. Sections 6.1/8.2 (PBP'99)
Visualization of the curve by its subdivided control polygon.
Applet    Info
B-Spline Knot Refinement

cf. Section 6.3 (PBP'99)
Knot insertion for B-spline curves.
Applet    Info
Subdivision Curves
Subdivision algorithm of Lane and Riesenfeld

cf. Section 8.2 (PBP'99)
An uniform subdivision algorithm corresponding to uniform B-splines.
Applet    Info
Four Point Scheme

cf. Section 8.9 (PBP'99)
An iterative interpolation scheme.
Applet    Info
Differential geometry Curves
Polynomial Curves

cf. Sections 30.1-30.3 (BP'94)
Polynomial curves with Frenet Frame, circle of curvature, parallels, tangents and evolutes.
Applet    Info
Spline Curves

cf. Sections 30.1-30.3 (BP'94)
Polynomial spline curves with Frenet Frame, circle of curvature, parallels, tangents and evolutes - higher order discontinuities can be observed.
Applet    Info
Space curves
Space curves with Frenet Frame, circle of curvature and other geometric properties.
cf. Section 30.1-30.3 (BP'94)
Space curves
Applet    Info
 
Mainpage
Applet-Index
How to start
Fundamentals
Curves
Surfaces
Geometric Design Group
University of Karlsruhe
 
Copyright © Institute for Operating and Dialog Systems
Raphael Straub