Preprints below may differ from the final published paper.
New items are listed first.
Comments, questions, typos are collected in the Q/A files.
bibtex reference
list.
Publications after 1999
Dagstuhl presentation, May 99,
abstract
see also U. Reif:
Best bounds on the approximation of polynomials and splines by their
control polygon, presented at Curves and Surfaces, St Malo 1999.
C. Gonzalez-Ochoa, J. Peters
Localized-Hierarchy Surface Splines (LeSS)
(5.2M gzipped) to appear in Interactive 3D Graphics
D. Nairn, J. Peters, D. Lutterkort
Sharp, quantitative bounds on the distance
between a polynomial piece and its B\'ezier control polygon
C. Gonzalez-Ochoa, S. McCammon, J.Peters
Computing moments of objects enclosed by piecewise polynomial surfaces
ACM TOG (size: 23952473 big...), in pieces:
1:5
6
7
8
9:10
J.Peters
Pcp2Nurb: smooth free-form surfacing with
linearly-trimmed bicubic B-splines
to appear in ACM TOMS;
sample output in ivview format
out1
out2
sample output in Matlab format
matlab_nurbs.dat
Matlab program to render the output (needs spline toolbox)
surfsp.m
C code
makefile
ivview triangle strips
J. Peters, A. Nasri
Computing Volumes of Solids Enclosed by Recursive Subdivision Surfaces
Eurographics '97
J. Peters, L. Kobbelt
The Platonic Spheroids
CS Purdue TR--97-052
J. Peters, M. Wittman
Box-spline based CSG blends
p1-3
p4-6
p7-11
Solid Modelling '97
J. Peters, M. Wittman
Blending basic implicit shapes using trivariate box splines
IMA 96
Q/A
J. Peters, U. Reif
The 42 equivalence classes of quadratic surfaces in Euclidean n-space
to appear in CAGD
J. Peters, U. Reif
The simplest subdivision scheme for smoothing polyhedra
ACM TOG
Q/A
J. Peters, U. Reif
Analysis of generalized B-spline subdivision algorithms
to appear in SIAM J Num Anal
J. Peters
Interpolation regions for convex low degree polynomial curve
segments
Advances in Computational Mathematics
J. Peters
C^2 surfaces built from zero sets of the 7-direction
box spline
Mathematical Methods in Curve and Surface Design VI,
1994
appeared 1996
J. Peters
Spline surfaces from irregular control meshes
(a summary, rational extensions)
ICIAM conference June 1995, appeared in ZAMM
J. Peters
Biquartic C1-surface splines over irregular meshes
rev: Jan 95, appeared in CAD
Q/A
J. Peters
Curvature continuous spline surfaces over irregular meshes
version May 1994;
appeared as:
Computer Aided Geometric Design, 13:101-131, 1996.
J. Peters
Smoothing polyhedra made easy
____->
Figures
(version May 1994); appeared in
ACM Transaction on Graphics, Vol 14 No 2, April 1995, 161--169
C.M. Hoffmann, J. Peters
Geometric Constraints for CAGD
Tschirnhaus cubics analyzed for a constraint solver
In M. Dahlen, T. Lyche, and L. L. Schumaker, editors,
Mathematical Methods in Computer Aided Geometric Design III,
Vanderbilt Press, Nashville, Tennessee, 1995.
TNT Goodman, Jorg Peters
B\' ezier Nets, Convexity and Subdivision on Higher Dimensional Simplices
Figures
CAGD 12 (1995) 53--65.
Q/A
Jorg Peters
Evaluation and approximate evaluation of the multivariate
Bernstein-B\'ezier form on a regularly partitioned simplex
ps
pdf
ACM TOMS Dec. 1994
J. Peters
C^1 surface splines
revision of CSD-TR-019 March 1993
appeared in SIAM J. of Numer. Anal., 32-2, 645-666, 1995.
J. Peters
A characterization of connecting maps as roots of the identity,
preprint (Nov 93)
{\it Curves and Surfaces in Geometric Design},
P.\ J.\ Laurent, A.\ LeM\'ehaut\'e and L.\ L.\ Schumaker (eds.),
pp 369-376, 1994.
J. Peters
Smooth free-form surfaces over irregular meshes generalizing
quadratic splines
preprint (fewer pretty pictures than final version) of
\CAGD, {\rm 10} (1993): 347--361.
J. Peters
Surfaces of arbitrary topology constructed from biquadratics
and bicubics
Designing fair curves and surfaces, N. Sapidis (ed.), SIAM Publications,
1994. (presented Oberwolfach June 1992.)
Q/A
For general modeling I recommend C^1-surface splines.
Surfaces...bicubics is older, uses more patches, uses more
complicated formulas, does not prove the convex hull property.
It is however the first of this type of construction.