Preprints below may differ from the final published paper. New items are listed first. Link to publications after 1998. Comments, questions, typos are collected in the Q/A files. bibtex reference list.

---

Dagstuhl presentation, May 99, abstract

C. Gonzalez-Ochoa, J. Peters
Localized-Hierarchy Surface Splines (LeSS)
(5.2M gzipped) proceedings of 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   (pdf)

C. Gonzalez-Ochoa, S. McCammon, J.Peters
Computing moments of objects enclosed by piecewise polynomial surfaces   (pdf)
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   (pdf)
ACM TOMS;
sample output in ivview format out1 out2
sample output in Matlab format nurbs.dat
Matlab program to render the output (needs spline toolbox) matlab 4: surfsp4.m matlab 6: surfsp.m
C code with ivview output
C code with openGL output

J. Peters, A. Nasri
Computing Volumes of Solids Enclosed by Recursive Subdivision Surfaces
 (pdf) Eurographics '97

J. Peters, L. Kobbelt
The Platonic Spheroids (pdf)
CS Purdue TR--97-052
Correction for hexoid, upper left figure, the entries should be (top left: [-3 0 3], top right [3 0 3] and lower right[3 3 0])

J. Peters, M. Wittman
Box-spline based CSG blends (pdf) p4-6 (pdf) p7-11 (pdf)
Solid Modelling '97

J. Peters, M. Wittman
Blending basic implicit shapes using trivariate box splines   (pdf)
IMA 96 Q/A

J. Peters, U. Reif
The 42 equivalence classes of quadratic surfaces in Euclidean n-space   (pdf)
CAGD

J. Peters, U. Reif
The simplest subdivision scheme for smoothing polyhedra   (pdf)
ACM TOG Q/A

J. Peters, U. Reif
Analysis of generalized B-spline subdivision algorithms  (pdf)
SIAM J Num Anal
Typo on p 16: left Bezier patch of the characteristic map has a number of transposed entries associated with c_n. The patch should equal the of lower right patch with the sign of the 2nd coordinate flipped.

J. Peters
Interpolation regions for convex low degree polynomial curve segments   (pdf)
Advances in Computational Mathematics

J. Peters
C^2 surfaces built from zero sets of the 7-direction box spline   (pdf)
Mathematical Methods in Curve and Surface Design VI, 1994
appeared 1996

J. Peters
Spline surfaces from irregular control meshes   (pdf)
(a summary, rational extensions)
ICIAM conference June 1995, appeared in ZAMM

J. Peters
Biquartic C1-surface splines over irregular meshes
  (pdf) rev: Jan 95, appeared in CAD Q/A

J. Peters
Curvature continuous spline surfaces over irregular meshes   (pdf)
version May 1994; appeared as: Computer Aided Geometric Design, 13:101-131, 1996.

J. Peters
Smoothing polyhedra made easy  (pdf) ____-> Figures
pdf (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   (pdf)
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   (pdf)
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.gz   (pdf)
ACM TOMS Dec. 1994

J. Peters
C^1 surface splines  (pdf) revision of CSD-TR-019 March 1993
appeared in SIAM J. of Numer. Anal., 32-2, 645-666, 1995.
Q/A

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  (pdf)
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  (pdf)
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.

J. Peters

Constructive Approximation 1990
Smooth interpolation of a mesh of curves