@article{Karciauskas:2007:xx,
author = {K. Kar{\v c}iauskas and J. Peters},
title = {High-quality Surfaces},
journal = {Computer-Aided Geometric Design},
volume = {xx},
number = {x},
month = {xx},
year = {200567},
pages = {xx--xx},
note = {in preparation}
}
@article{Sitharam:2005:SMW,
author = {Meera Sitharam and J{\"o}rg Peters and Yong Zhou},
title = {Solving minimal, wellconstrained, 3{\sf D} geometric
constraint systems: combinatorial optimization of algebraic complexity},
journal = {Journal of symbolic computing},
volume = {xx},
number = {x},
month = {xx},
year = {200x},
pages = {1--20}
}
@inproceedings{Myles:2006:SSM,
author = {A.~Myles and K. Kar{\v c}iauskas and J. Peters},
title = { },
booktitle = {Proceedings of },
publisher = {ACM Press},
editor = { },
pages = {xx1--xx},
year = {2007}
}
@inproceedings{Punak:2008:MMVR,
author = {Sukitti Punak and Juan Cendan
and Sergei Kurenov and J{\"o}rg Peters},
title = {Fatty Tissue},
publisher = {IOS Press, Amsterdam},
organization = {Studies in Health Technology and Informatics (SHTI)},
booktitle = {Proceedings of {M}edicine {M}eets {V}irtual {R}eality
(MMVR) 16, Jan 2008, Long Beach,CA},
pages = { },
year = { }
}
@article{Boehm:1995:GCG,
author = {W. Boehm and H. Prautzsch and Jorg Peters},
title = {Geometric Concepts for Geometric Design},
journal = {SIAM Review},
volume = {37},
number = {3},
pages = {473--??},
month = sep,
year = {1995},
coden = {SIREAD},
issn = {0036-1445},
bibdate = {Tue May 13 16:55:17 MDT 1997},
url = {http://www.siam.org/journals/sirev/sirev373.htm},
acknowledgement = ack-nhfb
}
@article{Peters:1989:LGH,
author = {J. Peters},
title = {Local generalized Hermite interpolation by quartic
${C}^2$ space curves},
journal = {ACM Transactions on Graphics},
volume = {8},
number = {3},
pages = {235--242},
year = {1989},
coden = {ATGRDF},
issn = {0730-0301}
}
@phdthesis{Peters:1990:FSP,
author = {J. Peters},
title = {Fitting smooth parametric surfaces to {3D} data},
publisher = {Department of Computer Sciences},
school = {University of Wisconsin},
year = {1990},
note = {PhD thesis; see also CMS Technical Report 91-2},
advisor = {Carl de Boor}
}
@article{Peters:1990:LCB,
author = {J. Peters},
title = {Local cubic and bicubic ${C}^1$ surface interpolation
with linearly varying boundary normal},
journal = {Computer-Aided Geometric Design},
volume = {7},
pages = {499--515},
year = {1990},
coden = {CAGDEX},
issn = {0167-8396}
}
@article{Peters:1990:LSS,
author = {J. Peters},
title = {Local smooth surface interpolation: {A}
classification},
journal = {Computer-Aided Geometric Design},
volume = {7},
pages = {191--195},
year = {1990},
coden = {CAGDEX},
issn = {0167-8396}
}
@article{Peters:1990:NSM,
author = {J. Peters},
title = {The network simplex method on a multiprocessor},
journal = {Networks},
volume = {20},
number = {7},
pages = {845--859},
year = {1990},
coden = {NTWKAA},
issn = {0028-3045}
}
@article{Peters:1990:SMI,
author = {J. Peters},
title = {Smooth mesh interpolation with cubic patches},
journal = {Computer Aided Design},
volume = {22},
number = {2},
pages = {109--120},
year = {1990},
coden = {CAIDA5},
issn = {0010-4485}
}
@inproceedings{Peters:1991:PSE,
author = {J. Peters},
title = {Parametrizing singularly to enclose vertices by a
smooth parametric surface},
crossref = {MacKay:1991:GIC},
pages = {1--7},
year = {1991},
accept = {acceptance rate 33\%}
}
@article{Peters:1991:SIM,
author = {J. Peters},
title = {Smooth interpolation of a mesh of curves},
journal = {Constructive Approximation},
volume = {7},
pages = {221--247},
year = {1991},
issn = {0176-4276},
note = {Winner of SIAM Student Paper Competition 1989.}
}
@inproceedings{Peters:1992:IGS,
author = {J. Peters},
booktitle = {Curves and surfaces in computer vision and graphics
III},
title = {Improving ${G}^1$ surface joins by using a composite
patch},
crossref = {Warren:1992:CSC},
pages = {345--354},
year = {1992},
accept = {acceptance rate ca 50\%}
}
@inproceedings{Peters:1992:IHD,
author = {A. Neff and J. Peters},
title = {${C}^1$ interpolation on higher-dimensional analogues
of the 4-direction mesh},
crossref = {Braess:1992:NMA},
pages = {207--220},
year = {1992},
accept = {acceptance rate ca 75\%}
}
@article{Peters:1992:JSP,
author = {J. Peters},
title = {Joining smooth patches at a vertex to form a ${C}^k$
surface},
journal = {Computer-Aided Geometric Design},
volume = {9},
pages = {387--411},
year = {1992},
coden = {CAGDEX},
issn = {0167-8396}
}
@article{Peters:1992:SIC,
author = {J. Peters and M. Sitharam},
title = {Stability of interpolation from ${C}^1$ cubics at the
vertices of an underlying triangulation},
journal = {SIAM Journal on Numerical Analysis},
volume = {20},
number = {2},
pages = {528--533},
year = {1992}
}
@article{Peters:1992:SVI,
author = {J. Peters and M. Sitharam},
title = {On stability of $m$-variate ${C}^1$ interpolation},
journal = {Approximation Theory and its
Applications},
volume = {8},
number = {4},
pages = {17--32},
year = {1992},
issn = {1000-9221}
}
@article{Peters:1993:SFF,
author = {J. Peters},
title = {Smooth free-form surfaces over irregular meshes
generalizing quadratic splines},
journal = {Computer-Aided Geometric Design},
volume = {10},
pages = {347--361},
year = {1993},
coden = {CAGDEX},
issn = {0167-8396}
}
@incollection{Hoffmann:1994:GCC,
author = {C. M. Hoffmann and J. Peters},
booktitle = {Mathematical methods in computer aided geometric
design {III}},
title = {Geometric Constraints of {CAGD}},
crossref = {Daehlen:1994:MMC},
pages = {369--376},
year = {1994},
accept = {acceptance rate ca 75\%}
}
@article{Peters:1994:CCM,
author = {J. Peters},
editor = {A. LeM\'ehaut\'e and P. J. Laurent and L. L.
Schumaker},
title = {A characterization of connecting maps as roots of the
identity},
journal = {Curves and Surfaces in Geometric Design},
pages = {369--376},
year = {1994},
accept = {acceptance rate ca 75\%}
}
@article{Peters:1994:EAE,
author = {J. Peters},
title = {Evaluation and Approximate Evaluation of the
Multivariate {Bernstein-B{\'e}zier} Form on a Regularly
Partitioned Simplex},
journal = {ACM Transactions on Mathematical Software},
volume = {20},
number = {4},
pages = {460--480},
month = dec,
year = {1994},
coden = {ACMSCU},
issn = {0098-3500},
mrclass = {65D17 (65-04)},
mrnumber = {1 368 026},
bibdate = {Tue Mar 14 16:28:34 1995},
url = {http://www.acm.org/pubs/citations/journals/toms/1994-20-4/p460-peters/},
keywords = {Bernstein-B{\'e}zier form; evaluation; multivariate;
power form; subdivision},
subject = {G.1.2 [Numerical Analysis]: Approximation; I.3.5
[Computer Graphics]: Computational Geometry and Object
Modeling}
}
@incollection{Peters:1994:SAT,
author = {J. Peters},
title = {Surfaces of arbitrary topology constructed from
biquadratics and bicubics},
crossref = {Sapidis:1994:DFC},
pages = {277--293},
year = {1994},
accept = {acceptance rate ca 50\%}
}
@article{Goodman:1995:BNC,
author = {T. N. T. Goodman and J. Peters},
title = {{B}{\'e}zier nets, convexity and subdivision on higher
dimensional simplices},
journal = {Computer-Aided Geometric Design},
volume = {12},
pages = {53--65},
year = {1995},
coden = {CAGDEX},
issn = {0167-8396}
}
@article{Peters:1995:BSS,
author = {J. Peters},
title = {Biquartic {${C}^1$} spline surfaces over irregular meshes},
journal = {Computer Aided Design},
volume = {27},
number = {12},
year = {1995},
pages = {895--903},
month = dec
}
@inproceedings{Peters:1996:SBZ,
author = {J. Peters},
booktitle = {The Mathematics of surfaces VI},
title = {${C}^2$ surfaces built from zero sets of the
7-direction box spline},
crossref = {Mullineux:1996:MS},
pages = {463--474},
year = {1996},
bibdate = {Fri Nov 15 10:16:10 EST 1996},
accept = {acceptance rate ca 50\%}
}
@article{Peters:1995:SPM,
author = {J. Peters},
title = {Smoothing polyhedra made easy},
journal = {ACM Transactions on Graphics},
volume = {14},
number = {2},
pages = {161--169},
month = apr,
year = {1995},
issn = {0730-0301}
}
@article{Peters:1995:SS,
author = {J. Peters},
title = {${C}^1$-surface splines},
journal = {SIAM Journal on Numerical Analysis},
volume = {32},
number = {2},
pages = {645--666},
year = {1995}
}
@article{Farouki:1996:SCD,
author = {R. Farouki and J. Peters},
title = {Smooth curve design with double-{Tschirnhaus} cubics},
journal = {Annals of Numerical Mathematics},
volume = {3},
year = {1996},
number = {1-4},
month = {Mar},
issn = {1021-2655},
pages = {63-82}
}
@article{Peters:1996:CCS,
author = {J. Peters},
title = {Curvature continuous spline surfaces over irregular
meshes},
journal = {Computer-Aided Geometric Design},
volume = {13},
number = {2},
month = {Feb},
year = {1996},
coden = {CAGDEX},
issn = {0167-8396},
pages = {101--131}
}
@article{Peters:1996:SSI,
author = {J. Peters},
title = {Spline surfaces from irregular control meshes},
journal = {Zeitschrift f{\"u}r Angewandte Mathematik und
Mechanik},
volume = {76},
number = {1},
month = {},
year = {1996},
note = {Proceedings of ICIAM '95.},
pages = {69--72}
}
@book{Farin:1997:XX,
editor = {G. Farin},
title = {{XXX}},
publisher = {Springer Verlag, Berlin},
year = {199x}
}
@inproceedings{Gonzalez:1997:IMU,
author = {C. Gonzalez},
booktitle = {1er Encuentro de Computacion, ENC 97},
title = {Interactive Modeling using Surface Splines},
publisher = {Sociedad Mexicana de Ciencia de la Computacion},
pages = {xx--xx},
year = {1997},
note = {Queretaro, Mexico}
}
@inproceedings{Peters:1997:BBI,
author = {J. Peters and M. Wittman},
booktitle = {The Mathematics of surfaces VII},
title = {Blending basic implicit shapes using trivariate box
splines},
crossref = {Goodman:1997:MS},
pages = {409--426},
year = {1997},
bibdate = {Fri Nov 15 10:16:10 EST 1996},
accept = {acceptance rate ca 50\%}
}
@inproceedings{Peters:1997:BSB,
author = {J. Peters and M. Wittman},
editor = {W.~Bronsvort C.~ Hoffmann},
booktitle = {Proceedings of Fourth Symposium on Solid Modeling},
title = {Box-spline based {CSG} blends},
publisher = {ACM Siggraph},
month = may,
year = {1997},
pages = {195--206},
accept = {acceptance rate 25\%}
}
@article{Peters:1997:CVS,
author = {J. Peters and A. Nasri},
title = {Computing Volumes of Solids Enclosed by Recursive
Subdivision Surfaces},
journal = {Com{\-}pu{\-}ter Graphics Forum},
volume = {16},
number = {3},
month = sep,
year = {1997},
coden = {CGFODY},
issn = {0167-7055},
pages = {C89-C94}
}
@article{Peters:1997:IRC,
author = {J. Peters},
title = {Interpolation regions for convex low degree polynomial
curve segments},
journal = {Advances in computational mathematics},
volume = {6},
number = {1},
year = {1997},
coden = {ACMHEX},
issn = {1019-7168},
pages = {87--96}
}
@inproceedings{Peters:1997:SPT,
author = {J. Peters},
booktitle = {Geometric Modelling},
title = {Smoothing polyhedra using trimmed bicubic {NURBS}},
editor = {Farin, G. and Bieri, H. and Brunnett, G. and De Rose, T.},
publisher = {Springer Verlag},
note = {Dagstuhl 1996, by invitation},
page = {211--217},
isbn = {-211-83207-6},
year = {1998},
misc = {http://www.springer.de/cgi-bin/search_book.pl?isbn=3-211-83207-6}
}
@article{Peters:1997:SSS,
author = {J. Peters and U. Reif},
title = {The simplest subdivision scheme for smoothing
polyhedra},
journal = {ACM Transactions on Graphics},
volume = {16},
number = {4},
month = oct,
year = {1997},
coden = {ATGRDF},
issn = {0730-0301},
pages = {420--431}
}
@article{Gonzalez-Ochoa:1998:CMO,
author = {C. Gonzalez-Ochoa and S. McCammon and J. Peters},
title = {Computing moments of objects enclosed by piecewise
polynomial surfaces},
key = {Animation techniques,CAD/CAM, geometric modeling,
interactive techniques, splines and surfaces, university
education, virtual/interactive environments},
journal = {ACM Transactions on Graphics},
volume = {17},
number = 3,
month = {July},
year = {1998},
accept = {Submitted: Jun 96, Accepted: Dec 1997,
Published on July 1998},
pages = {143--157}
}
@article{Peters:1998:APF,
author = {J. Peters},
title = {{Algorithm 783}: {Pcp2Nurb} --- smooth free-form
surfacing with linearly trimmed bicubic {B}-splines},
journal = {ACM Transactions on Mathematical Software},
volume = {24},
number = {3},
pages = {261--267},
month = sep,
year = {1998},
coden = {ACMSCU},
issn = {0098-3500},
bibdate = {Mon Feb 8 17:51:43 MST 1999},
url = {http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p261-peters/},
abstract = {Unrestricted control polyhedra facilitate modeling
free-form surfaces of arbitrary topology and local
patch-layout by allowing {\em n\/}-sided, possibly
nonplanar, facets and {\em m\/}-valent vertices. By
cutting off edges and corners, the smoothing of an
unrestricted control polyhedron can be reduced to the
smoothing of a {\em planar-cut polyhedron\/}. A
planar-cut polyhedron is a generalization of the
well-known tensor-product control structure. The
routine Pcp2Nurb in turn translates planar-cut
polyhedra to a collection of four-sided linearly
trimmed bicubic B-splines and untrimmed biquadratic
B-splines. The routine can thus serve as central
building block for overcoming topological constraints
in the mathematical modeling of smooth surfaces that
are stored, transmitted, and rendered using only the
standard representation in industry. Specifically, on
input of a nine-point subnet of a planar-cut
polyhedron, the routine outputs a trimmed bicubic NURBS
patch. If the subnet does not have geometrically
redundant edges, this patch joins smoothly with patches
from adjacent subnets as a four-sided piece of a
regular {\em C1\/} surface. The patch integrates
smoothly with untrimmed biquadratic tensor-product
surfaces derived from subnets with tensor-product
structure. Sharp features can be retained in this
representation by using geometrically redundant edges
in the planar-cut polyhedron. The resulting surface
follows the outlines of the planar-cut polyhedron in
the manner traditional tensor-product splines follow
the outline of their rectilinear control polyhedron. In
particular, it stays in the local convex hull of the
planar-cut polyhedron.},
acknowledgement = ack-nhfb,
keywords = {algorithms},
subject = {{\bf I.3.5} Computing Methodologies, COMPUTER
GRAPHICS, Computational Geometry and Object Modeling,
Splines. {\bf D.3.2} Software, PROGRAMMING LANGUAGES,
Language Classifications, C. {\bf G.1.1} Mathematics of
Computing, NUMERICAL ANALYSIS, Interpolation, Spline
and piecewise polynomial interpolation. {\bf G.1.2}
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Spline and piecewise polynomial
approximation. {\bf I.3.5} Computing Methodologies,
COMPUTER GRAPHICS, Computational Geometry and Object
Modeling, Boundary representations.}
}
@misc{Gonzalez:1998:TH,
author = {C. Gonzalez and J. Peters},
title = {The topological house},
publisher = {VideoMath Festival at international congress of
mathematicians ICM 98},
address = {Berlin, Germany},
year = {1998},
accept = {Videotape featured at VideoMath 98, Berlin,
acceptance rate 50\%},
url = {http://www-sfb288.math.tu-berlin.de/VideoMath/program/page27.html}
}
@article{Peters:1998:AGB,
author = {J. Peters and U. Reif},
title = {Analysis of generalized {B}-spline subdivision
algorithms},
journal = {SIAM Journal on Numerical Analysis},
volume = {35},
number = {2},
month = apr,
year = {1998},
pages = {728--748}
}
@article{Peters:1998:ECQ,
author = {J. Peters and U. Reif},
title = {The 42 equivalence classes of quadratic surfaces in
affine n-space},
journal = {Computer-Aided Geometric Design},
volume = {15},
year = {1998},
coden = {CAGDEX},
issn = {0167-8396},
pages = {459--473}
}
@techreport{Peters:1998:PS,
author = {J. Peters and L. Kobbelt},
title = {The Platonic Spheroids},
number = {97-052},
institution = {Dept of Computer Sciences, Purdue University},
year = {1998}
}
@article{Nairn:1999:SQB,
author = {D. Nairn and J. Peters and D. Lutterkort},
title = {Sharp, quantitative bounds on the distance between a
polynomial piece and its {B{\'e}zier} control polygon},
journal = {Computer-Aided Geometric Design},
volume = {16},
number = {7},
month = {Aug},
year = {1999},
coden = {CAGDEX},
issn = {0167-8396},
pages = {613-633}
}
@inproceedings{Peters:1998:PSS,
author = {J. Peters},
title = {Some properties of subdivision derived from splines},
booktitle = {Subdivision for modeling and animation},
crossref = {Sig98:course:1998},
pages = {83--90},
year = {1998}
}
@inproceedings{Gonzalez:1999:IDB,
title = {Localized Hierarchy Surface Splines},
booktitle = {ACM Symposium on Interactive 3D Graphics},
author = {C. Gonzalez and J. Peters},
year = 1999,
page = {7--15},
editor = {J. Rossignac, S.N. Spencer},
journal = {http://www.gvu.gatech.edu/gvu/i3dg/papers.html},
accept = {acceptance rate 31\%}
}
@article{Lutterkort:1999:PDR,
author = {D. Lutterkort and J. Peters and U. Reif},
title = {Polynomial degree reduction in the ${L}_2$-norm equals best
{E}uclidean approximation of {B}\'ezier coefficients},
journal = {Computer-Aided Geometric Design},
volume = {16},
number = {7},
month = {Aug},
year = {1999},
coden = {CAGDEX},
pages = {607-612}
}
@inproceedings{Lutterkort:1999:SPP,
author = {D. Lutterkort and J. Peters},
title = {Smooth paths in a polygonal channel},
booktitle = {Proceedings of the 15th annual symposium on Computational
Geometry},
pages = {316--321},
year = {1999},
accept = {acceptance rate 39\%}
}
@article{Lutterkort:2001:TLB,
author = {D. Lutterkort and J. Peters},
title = {Tight Linear bounds on the distance between a spline
and its {B}-spline control polygon},
journal = {Numerische Mathematik},
volume = {89},
month = {May},
year = {2001},
pages = {735-748},
misc = {1 year backlog, accepted Oct 1999}
}
@article{Peters:2000:MLS,
author = {J. Peters and U. Reif},
title = {
Least squares approximation
of {B}\'ezier coefficients
provides best degree
reduction in the ${L}_2$-norm },
journal = {Journal of Approximation Theory},
volume = {104},
number = {1},
month = {May},
year = {2000},
pages = {90-97}
}
@inproceedings{Peters:2000:PCC,
pages = {255--258},
year = {2000},
title = {Patching {C}atmull-{C}lark Meshes},
url = {http://visinfo.zib.de/EVlib/Show?EVL-2000-62},
author = {J. Peters},
abstract = {Named after the title, the PCCM transformation is a
simple, explicit algorithm that creates large, smoothly
joining bicubic Nurbs patches from a refined
Catmull-Clark subdivision mesh. The resulting patches
are maximally large in the sense that one patch
corresponds to one quadrilateral facet of the initial,
coarsest quadrilateral mesh before subdivision. The
patches join parametrically C2 and agree with the
Catmull-Clark limit surface except in the immediate
neighborhood of extraordinary mesh nodes; in such a
neighborhood they join at least with tangent continuity
and interpolate the limit of the extraordinary mesh
node. The PCCM transformation integrates naturally with
array-based implementations of subdivision surfaces.},
editor = {Kurt Akeley},
keywords = {CAD, Curves & Surfaces, Geometric Modeling},
series = {Annual Conference Series},
booktitle = {Siggraph 2000, Computer Graphics Proceedings},
publisher = {ACM Press / ACM SIGGRAPH / Addison Wesley Longman},
accept = {acceptance rate 25\%}
}
@article{Peters:2001:PCC,
author = {J. Peters and G. Umlauf},
title = {Computing curvature bounds for bounded curvature subdivi
sion},
journal = {Computer-Aided Geometric Design},
number = {5},
volume = {18},
year = {2001},
pages = {455-462}
}
@inproceedings{Lutterkort:2000:LEU,
author = {D. Lutterkort and J. Peters},
title = {Linear Envelopes for Uniform {B}--spline Curves},
booktitle = {Curves and Surfaces, St Malo},
pages = {239--246},
year = {2000},
accept = {acceptance rate ca 75\%}
}
@inproceedings{Peters:2000:GMC,
author = {J. Peters and G. Umlauf},
title = {Gaussian and Mean Curvature of Subdivision Surfaces},
booktitle = {The Mathematics of Surfaces IX},
editor = {R.~Cipolla and R.~Martin},
publisher = {Springer},
pages = {59--69},
year = {2000},
accept = {acceptance rate ca 50\%}
}
@article{Peters:2001:SPR,
author = {J. Peters},
title = {Smooth Patching of Refined Triangulations},
journal = {ACM Transactions on Graphics},
volume = {20},
number = {1},
pages = {1--9},
year = {2001}
}
@article{Lutterkort:2000:ETP,
author = {D. Lutterkort and J. Peters},
title = {Optimized Refinable Enclosures of
Multivariate Polynomial Pieces},
journal = {Computer-Aided Geometric Design},
volume = {18},
number = {9},
pages = {851--863},
year = {2002}
}
@inproceedings{Vlachos:2000:CPNT,
author = {Alex Vlachos and Jorg Peters and Chas Boyd and Jason L. Mitchell},
title = {Curved {PN} Triangles},
pages = {159--166},
year = {2001},
series = {Bi-Annual Conference Series},
booktitle = {2001, Symposium on Interactive 3D Graphics},
publisher = {ACM Press},
accept = {acceptance rate 37\%}
}
@article{Peters:2002:CFF,
author = {J. Peters},
title = {${C}^2$ Free-Form Surfaces of degree (3,5)},
journal = {Computer-Aided Geometric Design},
volume = {19},
number = {2},
pages = {113--126},
year = {2002}
}
@inproceedings{Peters:2002:GC,
author = {J. Peters},
title = {Geometric Continuity},
year = {2002},
editors = {G.~Farin, J.~Hoschek, M.~Kim},
booktitle = {Handbook of Computer Aided Geometric Design},
pages = {193-229},
publisher = {Elsevier}
}
@article{Peters:200x:SE,
author = {J. Peters},
title = {Surface Envelopes},
journal = {CISE TR 01-2001},
year = {2001},
note = {http://www.cise.ufl.edu/research/SurfLab/papers/}
}
@article{Shiue:2003:MMP,
author = {L.J. Shiue and J. Peters},
title = {Mesh mutation in programmable graphics hardware},
journal = {Eurographics/Siggraph Hardware Workshop},
year = {2003},
pages = {1:10},
note = {http://www.cise.ufl.edu/research/SurfLab/papers/}
}
@inproceedings{Peters:2003:OPL,
author = {J. Peters and X. Wu},
title = {On the optimality of piecewise linear max-norm enclosures
based on slefes},
year = {2003},
pages = { },
editor = { L. L. Schumaker},
booktitle = {proceedings of Curves and Surfaces, St Malo 2002},
publisher = {Vanderbilt Press}
}
@inproceedings{Peters:2003:SFN,
author = {J. Peters},
title = {Smoothness, Fairness and the need for better multi-sided patches},
year = {2003},
editor = { R Goldman and R. Krasauskas },
booktitle = {Topics in Algebraic Geometry and Geometric Modeling},
publisher = {American Mathematical Society, Contemporary Mathematics},
number = {334},
page = {55-64}
}
@inproceedings{Peters:2003:EOS,
author = {J. Peters},
title = {Efficient One-sided linearization of spline geometry},
year = {2003},
pages = {297:319},
editor = {M.J. Wilson and R.R. Martin},
booktitle = {Mathematics of Surfaces X},
publisher = {IMA}
}
@article{Peters:2004:SLE,
author = {J. Peters and X. Wu},
title = {SLEVEs for planar spline curves},
journal = {Computer Aided Geometric Design},
year = {2004},
volume = {21},
number = {6},
pages = {615--635},
note = {http://authors.elsevier.com/sd/article/S0167839604000615}
}
@article{Myles:2004:TST,
author = {A. Myles and J. Peters},
title = {Threading splines through 3D channels},
journal = {Computer Aided Design},
volume = {37},
number = {2},
year = {2004},
pages = {139--148}
}
@article{Peters:2004:DRF,
author = {J. Peters and L.J. Shiue},
title = {Combining 4- and 3-direction Subdivision},
journal = {ACM TOG},
year = {2004},
volume = {23},
number = {4},
pages = {980:1003}
}
@article{Peters:2004:SCS,
author = {J. Peters and U. Reif},
title = {Shape Characterization of Subdivision Surfaces --
Basic Principles},
journal = {Computer-Aided Geometric Design},
volume = {21},
number = {6},
month = {july},
year = {2004},
pages = {585--599}
}
@article{Karciauskas:2004:SCS,
author = {K.~Karciauskas and J. Peters and U. Reif},
title = {Shape Characterization of Subdivision Surfaces --
Case Studies},
journal = {Computer-Aided Geometric Design},
volume = {21},
number = {6},
month = {july},
year = {2004},
pages = {601--614}
}
@article{Wu:2004:IDS,
author = {X. Wu and J. Peters},
title = {Interference Detection for Subdivision Surfaces},
journal = {Computer Graphics Forum, Eurographics 2004},
volume = {23},
number = {3},
year = {2004},
pages = {577--585},
accept = {acceptance rate ca 18\%}
}
@inproceedings{Karciauskas:2004:PCS,
author = {K.~Karciauskas and J. Peters},
title = {Polynomial ${C}^2$ spline surfaces guided by rational
multisided patches},
year = {2004},
editor = {B. J{\"u}ttler,Tor Dokken},
booktitle = {Computational Methods for Algebraic Spline
Surfaces, Sept 29 -- Oct 3 2003, Kefermarkt, Austria},
publisher = {Springer},
pages = {119--134}
}
@inproceedings{Peters:2004:PCS,
author = {J. Peters},
title = {Mid-Structures of
Subdividable Linear Efficient Function Enclosures
Linking Curved and Linear Geometry},
year = {2004},
editor = {Miriam Lucian and Marian Neamtu},
booktitle = {Proceedings of SIAM conference, Seattle, Nov 2003},
publisher = {Nashboro},
page = {1--10}
}
@misc{Shiue-2004-Phd,
author = {Le-Jeng Shiue},
title = {Quasi-regular Surface Representation},
year = {2004},
note = {Ph.D's Dissertation, Department of Computer and Information
Science and Engineering, University of Florida}
}
@inproceedings{Shiue-2004-CGAL,
author = {Le-Jeng Shiue and Pierre Alliez and Radu Ursu and Lutz
Kettner},
title = {A Tutorial on CGAL Polyhedron for Subdivision Algorithms},
year = {2004},
booktitle = {2nd CGAL User Workshop},
note = {http://www.cgal.org/Tutorials/Polyhedron/}
}
@inproceedings{Shiue-2005-MRLGD,
author = {Le-Jeng Shiue and J{\"o}rg Peters},
title = {A Mesh Refinement Library based on Generic Design},
booktitle = {Proceedings of the 43rd Annual ACM Southeast Conference},
year = {2005},
pages = {1-104--1-108}
}
@inproceedings{Ginkel:2005:NCN,
author = {I. Ginkel and J. Peters and G. Umlauf},
booktitle = {The Mathematics of surfaces XI},
editors = {R. Martin and H. Bez and M. Sabin},
title = {On Normals and Control Nets},
pages = {233--239},
year = {2005},
accept = {acceptance rate ca 50\%}
}
@article{Ginkel:2006:NSS,
author = {I. Ginkel and J. Peters and G. Umlauf},
title = {Normals of Subdivision Surfaces and their Control
Polyhedra},
journal = {Computer-Aided Geometric Design},
volume = {24},
number = {2},
month = {Feb},
year = {2007},
pages = {112--116}
}
@inproceedings{Shieu:2005:PCC,
pages = {1010--1015},
year = {2005},
title = {A Realtime {GPU} Subdivision Kernel},
author = {Le-Jeng Shiue and Ian Jones and J. Peters},
editor = {Marcus Gross},
series = {Annual Conference Series},
booktitle = {Siggraph 2005, Computer Graphics Proceedings},
publisher = {ACM Press / ACM SIGGRAPH / Addison Wesley Longman},
accept = {acceptance rate ca 15\%}
}
@inproceedings{Shiue:2005:PMESH,
author = {Le-Jeng Shiue and Jorg Peters},
booktitle = {Proceedings of Graphics Interface 2005},
title = {A Pattern-based Data Structure for Manipulating
Meshes with Regular Regions},
pages = {153--160},
year = {2005},
accept = {acceptance rate ca 25\%}
}
@inproceedings{Shiue:2005:EC,
author = {Le-Jeng Shiue and Jorg Peters},
booktitle = {Proceedings of The International Conference on Shape
Modeling and Applications 2005},
title = {Mesh Refinement based on Euler Encoding},
pages = {343--348},
year = {2005},
accept = {short paper, acceptance rate ca 50\%}
}
@inproceedings{Wu:2005:AEM,
author = {X. Wu and J. Peters},
booktitle = {Proceedings of The International Conference on Shape
Modeling and Applications 2005},
title = {An Accurate Error Measure for Adaptive Subdivision
Surfaces},
pages = {51--57},
year = {2005}
}
@inproceedings{Reif:2005:SAS,
author = {U. Reif and J. Peters},
booktitle = {Structural Analysis of Subdivision Surfaces -- A
Summary},
title = {Topics in Multivariate Approximation and
Interpolation},
publisher = {Elsevier Science Ltd},
editor = {K. Jetter et al.},
pages = {149--190},
year = {2005}
}
@inproceedings{Sitharam:2004:COA,
author = {Meera Sitharam and J{\"o}rg Peters and Yong Zhou},
title = {Combinatorial Optimization of Algebraic Complexity of },
booktitle = {Automated Deduction in Geometry, ADG 2004},
year = {2004},
pages = {1-2},
note = {refereed conference talk and extended abstract}
}
@inproceedings{Peters:2005:ANC,
author = {J{\"o}rg Peters and Meera Sitharam and Yong Zhou and JianHua Fan},
title = {Algebraic and Numeric Challenges in Modeling Virus Formation},
booktitle = {Presentation at Florida Bioinformatics Workshop 2005},
year = {2005},
note = {poster}
}
@inproceedings{Peters:2005:EGR,
author = {J{\"o}rg Peters and Meera Sitharam and Yong Zhou and JianHua Fan},
title = {Elimination in generically rigid 3{\sf D} geometric constraint
systems},
booktitle = {Proceedings of Algebraic Geometry and Geometric
Modeling,Nice, 27-29 September 2004},
year = {2005},
publisher = {Springer Verlag},
pages = {xx+1--16}
}
@article{Karciauskas:2006:CTM,
author = {K. Kar{\v c}iauskas and J. Peters},
title = {Concentric Tesselation Maps and Curvature Continuous
Guided Surfaces},
journal = {Computer-Aided Geometric Design},
volume = {24},
number = {2},
month = {Feb},
year = {2007},
pages = {99--111}
}
@inproceedings{Myles:2006:FSS,
author = {A.~Myles and J. Peters},
title = {Fast Safe Spline Surrogates for Large Point Clouds},
booktitle = {Proceedings Third International Symposium on 3D Data
Processing, Visualization and Transmission, UNC, Chapel Hill, USA},
month = {June 14-16},
year = {2006},
pages = {61--69}
}
@inproceedings{Peters:2005:xx,
author = {J. Peters and S. Punak},
title = {},
volume = {xx},
number = {x},
month = {xx},
year = {2005},
pages = {xx--xx},
note = {submitted}
}
@article{Kar:2006:SPS,
author = {K. Kar{\v c}iauskas and J. Peters},
title = {Surfaces with Polar Structure},
journal = {Computing},
volume = {79},
pages = {309--315},
month = {March},
year = {2007}
}
@article{Wu:2005:LLI,
author = {J. Peters and X. Wu},
title = {On the Local Linear Independence of Generalized Subdivision
Functions},
journal = {SIAM J. Numer. Anal.},
volume = {44},
number = {6},
pages = {2389--2407},
month = {December},
year = {2006}
}
@inproceedings{Kim:2006:MMVR,
author = {Minho Kim and Sukitti Punak and Juan Cendan
and Sergei Kurenov and J{\"o}rg Peters},
title = {Exploiting Graphics Hardware for Haptic Authoring},
publisher = {IOS Press, Amsterdam},
organization = {Studies in Health Technology and Informatics (SHTI)},
booktitle = {Proceedings of {M}edicine {M}eets {V}irtual {R}eality
(MMVR) 14, Jan 25-27 2006, Long Beach,CA},
pages = {255--260},
year = {2006}
}
@inproceedings{Kim:2007:MMVR,
author = {Minho Kim and Tianyun Ni and Juan Cendan
and Sergei Kurenov and J{\"o}rg Peters},
title = {A Haptic-enabled Toolkit for Illustration of Procedures in
Surgery (TIPS)},
publisher = {IOS Press, Amsterdam},
organization = {Studies in Health Technology and Informatics (SHTI)},
booktitle = {Proceedings of {M}edicine {M}eets {V}irtual {R}eality
(MMVR) 15, Feb 6-9 2007, Long Beach,CA},
pages = {209--214},
year = {2007}
}
@inproceedings{Cendan:2006:MME,
author = {JC. Cendan and S. Kurenov and S. Punak and M. Kim and
J. Peters},
title = {Multimedia Environment for Customized Teaching of Surgical
Procedures},
organization = {SAGES 2006 Emerging Technology Session, Dallas TX.
4/29/2006},
year = {2006}
}
@article{Cendan:2006:DMM,
author = {Cendan JC and Kim, M. and Kurenov S and Peters J.},
title = {Developing a Multimedia
Environment for Customized Teaching of the Adrenalectomy Surgical
Procedure},
journal = {Surgical Endoscopy},
pages = {10.1007/s00464-006-9119-2},
month = {Dec},
year = {2006}
}
@article{Kurenov:2006:STA,
author = {Sergei N. Kurenov and Sukitti Punak and Minho Kim and Jorg Peters
and Juan C. Cendan},
title = {Simulation for Training with the Autosuture Endo Stitch Device},
journal = {Surgical Innovation},
volume = {13},
number = {4},
year = {December 2006},
pages = {1--5}
}
@inproceedings{Ni:2006:TTQ,
author = {Tianyun Ni and Ahmad H. Nasri and J.~Peters},
title = {Tuned Ternary Quad Subdivision},
organization = {Springer Lecture Notes in Computer Science (LNCS)},
publisher = {Springer Verlag},
booktitle = {Geometric Modeling and
Processing 2006, July 26 - 28, 2006, Pittsburgh, Pennsylvania},
pages = {xx--xx},
year = {2006}
}
@article{Ni:2007:TSQ,
author = {Tianyun Ni and Ahmad H. Nasri and J.~Peters},
title = {Ternary Subdivision for Quadrilateral Meshes},
journal = {Computer Aided Geometric Design},
volume = {24},
number = {6},
pages = {361-370},
year = {Aug 2007},
url = {http://portal.acm.org/citation.cfm?id=1275271.1275416&coll=GUIDE&dl=ACM&CFID=15151515&CFTOKEN=6184618}
}
@article{Peters:2006:NSD,
author = {J. Peters and X. Wu},
title = {Net-to-Surface Distance of Subdivision Functions},
year = {2006},
journal = {JAT},
pages = {xx},
note = {to appear}
}
@inproceedings{KKK:2006:PJS,
author = {K. Kar{\v c}iauskas and A.~Myles and J. Peters},
title = {A {$C^2$} Polar Jet Subdivision},
booktitle = {Proceedings of Symposium of Graphics Processing (SGP),
June 26-28 2006, Cagliari, Italy},
publisher = {ACM Press},
editor = {A.~Scheffer and K.~Polthier},
pages = {173--180},
year = {2006}
}
@article{KKK:2007:BPS,
author = {K\c{e}stutis Kar\v{c}iauskas and J\"{o}rg Peters},
title = {Bicubic polar subdivision},
journal = {ACM Trans. Graph.},
volume = {26},
number = {4},
year = {2007},
pages = {14},
publisher = {ACM},
address = {New York, NY, USA}
}
@inproceedings{Picheny:2006:CEP,
author = { V. Picheny and N. Kim and R. Haftka and J. Peters},
title = {Conservative Estimation of Probability of Failure},
booktitle = {11th AIAA/ISSMO Multidisciplinary Analysis
and Optimization Conference},
publisher = {},
editor = {},
pages = {},
year = {2006}
}
@inproceedings{Peters:2006:AFC,
author = { J. Peters and Raphael Haftka and Sukitti Punak and JianHua Fan},
title = {Algebraic and Feasibility Constraints in Engineering Design},
booktitle = {DMII grantees conference, St.~Louis},
publisher = {},
editor = {},
pages = {},
year = {2006}
}
@inproceedings{Karciauskas:2007:PTG,
author = {K. Kar{\v c}iauskas and J. Peters},
title = {Parameterization Transition
for Guided ${C}^2$ Surfaces of Low Degree},
booktitle = {Sixth AFA Conference on Curves and Surfaces
Avignon, June 29-July 5, 2006},
pages = {183--192},
month = {April},
year = {2007}
}
@inproceedings{Karciauskas:2007:V123,
author = {K. Kar{\v c}iauskas and J. Peters},
title = {Guided ${C}^2$ Spline Surfaces with {V}-shaped tessellation},
booktitle = {Mathematics of Surfaces},
editor = {J. Winkler and R. Martin},
year = {2007},
pages = {233--244}
}
@inproceedings{Myles:2007:PJS,
author = {K. Kar{\v c}iauskas and A.~Myles and J. Peters},
title = {A {$C^2$} Polar Jet Subdivision},
booktitle = {Proceedings of Symposium of Graphics Processing (SGP),
June 26-28 2006, Cagliari, Italy},
publisher = {ACM Press},
editor = {A.~Scheffer and K.~Polthier},
pages = {173--180},
year = {2006}
}
@misc{KP:200a:GS,
author = {K.~Kar{\v c}iauskas and J.~Peters},
title = {Guided Subdivision},
year = {2005},
note = {http://www.cise.ufl.edu/research/SurfLab/papers.shtml}
}
@article{Karciauskas:2007:CGS,
author = {K. Kar{\v c}iauskas and J. Peters},
title = {On the curvature of guided surfaces},
volume = {25},
number = {2},
journal = {Computer Aided Geometric Design},
pages = {69--79},
month = {feb},
year = {2008}
}
@article{Karciauskas:2007:GSS,
author = {K. Kar{\v c}iauskas and J. Peters},
title = {Guided Spline Surfaces},
journal = {Computer Aided Geometric Design},
pages = {1-20},
year = {2007},
note = {to appear}
}
@proceedings{MacKay:1991:GIC,
editor = {S. MacKay and E. M. Kidd},
booktitle = {Graphics Interface '91, Calgary, Alberta, 3--7 June
1991: proceedings},
title = {Graphics Interface '91, Calgary, Alberta, 3--7 June
1991: proceedings},
publisher = {Canadian Information Processing Society},
address = {243 College St, 5th Floor, Toronto, Ontario
M5T~2Y1, Canada},
pages = {xi + 287},
year = {1991},
isbn = {0-9695338-0-2},
lccn = {T385.P792 1991},
bibdate = {Tue Dec 19 16:21:47 MST 1995}
}
@book{Braess:1992:NMA,
editor = {D. Braess and L. L. Schumaker},
booktitle = {Numerical methods in approximation theory, Volume 9},
title = {Numerical methods in approximation theory, Volume 9},
volume = {105},
publisher = {Birkh{\"{a}}user},
address = {Basel, Switzerland},
pages = {xiv + 357},
year = {1992},
isbn = {3-7643-2746-4 (Basel), 0-8176-2746-4 (Boston)},
lccn = {QA221 .N84 1992},
bibdate = {Tue Dec 19 15:51:50 1995},
series = {International series of numerical mathematics}
}
@proceedings{Warren:1992:CSC,
editor = {Joseph D. Warren},
booktitle = {Curves and surfaces in computer vision and graphics
III: 16--18 November 1992, Boston, Massachusetts},
title = {Curves and surfaces in computer vision and graphics
{III}: 16--18 November 1992, Boston, Massachusetts},
volume = {1830},
publisher = {SPIE, International Society for Optical Engineering},
address = {Bellingham, WA, USA},
pages = {ix + 355},
year = {1992},
isbn = {0-8194-1031-4},
lccn = {T385 .C874 1992},
bibdate = {Tue Dec 19 15:51:50 1995},
series = {Proceedings of SPIE---the International Society for
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}
@proceedings{Daehlen:1994:MMC,
editor = {M. D{\ae}hlen and T. Lyche and L. L. Schumaker},
booktitle = {Mathematical methods in computer aided geometric
design {III}},
title = {Mathematical methods in computer aided geometric
design {III}},
publisher = {Vanderbilt University Press},
address = {Nashville, TN, USA},
pages = {v + 578},
year = {1994},
isbn = {0-8265-1268-2},
lccn = {QA565 .M37 1995},
bibdate = {Mon Sep 21 11:23:21 1998}
}
@book{Sapidis:1994:DFC,
editor = {Nickolas S. Sapidis},
booktitle = {Designing fair curves and surfaces: shape quality in
geometric modeling and computer-aided design},
title = {Designing fair curves and surfaces: shape quality in
geometric modeling and computer-aided design},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
pages = {xii + 318},
year = {1994},
isbn = {0-89871-332-3},
lccn = {QA567 .D47 1994},
bibdate = {Tue Dec 19 16:04:29 1995}
}
@proceedings{Mullineux:1996:MS,
editor = {Glen Mullineux},
booktitle = {The Mathematics of surfaces {VI}: based on the
proceedings of a conference organized by the Institute
of Mathematics and Its Applications on the mathematics
of surfaces, held at Brunel University in September
1994},
title = {The Mathematics of surfaces {VI}: based on the
proceedings of a conference organized by the Institute
of Mathematics and Its Applications on the mathematics
of surfaces, held at Brunel University in September
1994},
publisher = {Clarendon Press},
address = {New York, NY, USA},
pages = {vii + 569},
year = {1996},
isbn = {0-19-851198-1},
lccn = {QA571.M3853 1996}
}
@proceedings{Goodman:1997:MS,
editor = {Tim N. T. Goodman and Ralph R. Martin},
booktitle = {The Mathematics of surfaces {VII}: Proceedings of the
Mathematics of Surfaces VII Conference, Dundee, UK,
September 1996},
title = {The Mathematics of surfaces {VII}: Proceedings of the
Mathematics of Surfaces {VII} Conference, Dundee, {UK},
September 1996},
publisher = {Information Geometers},
address = {Winchester, UK},
pages = {xvii + 507},
year = {1997},
isbn = {1-874728-12-7}
}
@proceedings{Daehlen:1998:MMC,
editor = {Morten D{\ae}hlen and Tom Lyche and Larry L.
Schumaker},
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{Lillehammer}, 1997},
title = {Mathematical Methods for Curves and Surfaces {II}:
{Lillehammer}, 1997},
publisher = {Vanderbilt University Press},
address = {Nashville, TN, USA},
pages = {556},
year = {1998},
isbn = {0-8265-1315-8},
lccn = {QA565 .M372 1998}
}
@proceedings{MINGLE:2003,
booktitle = {Advances in Multiresolution for Geometric Modelling},
editor = { N. A. Dodgson, M. S. Floater, M. A. Sabin},
publisher = {Springer-Verlag},
year = {2005},
isbn = {3-540-21462-3}
}
@proceedings{Sig98:course:1998,
editor = {P. Schr\"oder},
title = {Some properties of subdivision derived from splines},
booktitle = {Subdivision for modeling and animation},
series = {Course notes of 25th International conference on Computer Graphics and Interactive Techniques},
month = {July},
year = 1998,
number = 36,
publisher = {ACM Siggraph}
}
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