The Mathematics of Surfaces

Publications of Dr John Gregory; John Gregory's research - from computational error bounds through Gregory's square to convex combinations, R.E. Barnhill; the work of John Gregory - rational spline interpolation, subdivision algorithms and C2 polygonal patches, N. Dyn; dupin cyclides and supercyclides, M.J. Pratt; a practical implementation of vertex blend surfaces using an N-sided patch, D. Plowman and P. Charrot; the sub-parabolic lines of a surface, R. Morris; geodesic paths for general surfaces generated by solid modellers, D.J. Robinson and C.G. Armstrong; free-form surface matching for surface inspection, E.M. Bispo and R.B. Fisher; surface fitting by exploiting data distribution, I.J. Anderson and J.C. Mason; the types of triangular B'ezier surfaces, W.L.F. Degen; polyhedral metrics in surface reconstruction, L. Alboul and R. van Damme; linear approximation of trimmed surfaces, R. Klein; cubic algebraic surface interpolation of three points with prescribed normals, A.E. Middleditch and E.E. Demas; robust implementation of geometric algorithms using exact arithmetic, S. Fortune and C.J. Van Wyk; validity determination for MAT surface representation, C.M. Hoffmann and P.J. Vermeer; physics-based NURBS swung surfaces, H. Qin and D. Terzopoulos; numerical aspects of stability investigations on surfaces, St Hahmann and H. Hagen; pre-wavelets on scattered knots and from radial function spaces - a review; towards a classification of curve and surface algorithms using invariance; loop detection via homotopy continuation; polynomial and rational pythagorean-hodograph curves reconciled; a geometric newton method for interference processing of rational curves and surfaces in homogeneous space, K. Matsumura, et al; an arbitrary rectangular patch network scheme for free-form surface modelling, J. Zhou and V.K.H. Lau; best fit surface curvature at vertices of topologically irregular curve networks, T. V'arady and T. Hermann; G1-interpolation of rectangular unrestricted cubic curve meshes using biquintic B'ezier patches, X. Ye and H. Nowacki; hybrid B-spline interpolants, M. Walker ; C2 surfaces built from zero sets of the 7-direction box spline, J. Peters; matching NURBS surfaces G1 and G2, L.J. Nachman; transfinite surface interpolation, M. Sabin; simplex splines, polar simplex splines and triangular B-splines, H.P. Seidel; numerical computations of medial surface verticles, D.J. Sheehy.