This volume is based on an international conference held in June 1991, and contains tutorial and original research-level papers on mathematical methods in CAGD and image processing. Leading researchers (Barnsley, Chui, Seidell, de Casteljau) have authored invited survey papers on spline and Bezier methods for curve and surface modeling, visualization, and data fitting as well as connections with wavelets and fractals, and their applications in image processing. This is a very successful area with the dual computer graphics/applied mathematics market.
Symmetrizing multiaffine polynomials, P.J. Barry; norm estimates for
inverses of distance matrices, B.J.C. Baxter; numerical treatment of
surface-surface-intersection and contouring, K.-H. Brakhage; modelling closed
surfaces - a comparison of existing methods, P. Brunet and A. Vinacua; a new
characterization of plane elastica, G. Brunnett; POLynomials, POLar forms,
and interPOL-ation, P.de Casteljau; pyramid patches provide potential
polynomial paradigms, A.S. Cavaretta and C.A. Micchelli; implicitizing
rational surfaces with base points by applying perturbations and the factors
of zero theorem, E.-W. Chionh and R.C. Goldman; wavelets and multiscale
interpolation, C.K. Chui and X. Shi; a curve intersection algorithm with
processing of singular cases - introduction of a clipping technique, M.
Daniel; best approximation of parametric curves by splines, W.L.F. Degen; an
approximately G1 cubic surface interpolant, T. DeRose and S. Mann; on the G2
continuity of piecewise parametric surfaces, W. Du and F.J.M. Schmitt;
stationary and non-stationary binary subdivision schemes, N. Dyn and D.
Levin; MQ-curves are curves in tension, M. Eck; offset approximation
improvement by control point perturbation, G. Elber and E. Cohen; curves and
surfaces in geometrical optics, R.T. Farouki and J.-C.A. Chastang; evaluation
and properties of a derivative of a NURBS curve, M.S. Floater; hybrid cubic
Bezier triangle patches, T.A. Foley and K. Opitz; modelling geological
structures using splines, L.A. Froyland, et al; wonderful triangle - a
simple, unified, algorithmic approach to change of basis procedures in
computer aided geometric design, R.N. Goldman; an arbitrary mesh network
scheme using rational splines, J.A. Gregory and P.K. Yuen; Bezier curves and
surface patches on quadrics, J. Hoschek; monotonicity preserving interplation
using C2 rational cubic Bezier curves, M.K. Ismail; on piecewise quadratic G2
approximation and interplation, J. Kozak and M. Lokar; non-affine blossoms
and subdivision for Q-splines, R. Kulkarni. Part contents.
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