The SFB program expired on September 30, 2008. For the link to the successor project click DK Computational Mathematics
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Publications of the Project F1315
September 27, 2008

Bibliography

1
M. Aigner.
Footpoint computation and applications.
PhD thesis, University of Linz, 2005.
2
M. Aigner and B. Jüttler.
Robust computation of foot points on implicitly defined curves.
In Mathematical methods for curves and surfaces: Tromsø 2004, Mod. Methods Math., pages 1-10. Nashboro Press, Brentwood, TN, 2005.
3
M. Aigner and B. Jüttler.
Approximation flows in shape manifolds.
In P. Chenin, T. Lyche, and L. L. Schumaker, editors, Curve and Surface Design: Avignon 2006, pages 1-10. Nashboro Press, 2007.
4
M. Aigner and B. Jüttler.
Hybrid Curve Fitting.
Computing, 79:237-247, 2007.
5
M. Aigner, I. Szilágyi, J. Schicho, and B. Jüttler.
Implicitization and distance bounds.
In Algebraic geometry and geometric modeling, Math. Vis., pages 71-85, Berlin, 2006. Springer.
6
M. Barton.
Bézier clipping via degree reduction.
Workshop on Algebraic Spline Curves and Surfaces, Eger, Hungary, May 17-18 2006.
7
M. Barton.
Bézier clipping via degree reduction.
Sixth International Conference on Curves and Surfaces, Avignon, France, June 29-July 5 2006.
8
M. Barton.
Quadratic clipping and its generalization for polynomial systems.
PhD thesis, Charles University in Prague, 2007.
9
M. Barton and B. Jüttler.
Computing roots of polynomials by quadratic clipping.
Technical Report 2006-17, SFB F013, June 2006.
10
M. Barton and B. Jüttler.
Computing roots of polynomials by quadratic clipping.
Comput. Aided Geom. Design, 24(3):125-141, 2007.
11
M. Barton and B. Jüttler.
Computing roots of systems of polynomials by linear clipping.
Technical Report 2007-18, SFB F013, August 2007.
12
P. Chalmoviansky.
Mathematical Methods in Subdivision Surfaces.
PhD thesis, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, 2002.
13
P. Chalmovianský.
Approximation algorithms using algebraic curves and surfaces.
TU Ostrava, April 2005.
14
P. Chalmovianský and B. Jüttler.
Fairing criteria for algebraic curves.
Talk at the Dagstuhl seminar on Geometric Modeling, May 2002.
15
P. Chalmovianský and B. Jüttler.
Fairing criteria for algebraic curves.
Talk at the conference ``Geometrie Tagung'', Vorau, Austria, May 2002.
16
P. Chalmovianský and B. Jüttler.
Approximate parameterization by planar rational curves.
In Proceedings of 20th Spring Conference on Computer Graphics, pages 27-35. Comenius University / ACM Press, 2003.
17
P. Chalmovianský and B. Jüttler.
Fairness criteria for algebraic curves.
03-03, Johannes Kepler University Linz, Spezialforschungsbereich SFB013, March 2003.
18
P. Chalmovianský and B. Jüttler.
Filling holes in point clouds.
In R. R. Martin and M. Wilson, editors, The Mathematics of Surfaces X, pages 196-212, Berlin, 2003. Springer.
19
P. Chalmovianský and B. Jüttler.
Filling holes in points clouds.
Poster at International Workshop on ``Numerical and Symbolic Scientific Computing'', Strobl, Austria, June 2003.
20
P. Chalmovianský and B. Jüttler.
Fairness criteria for algebraic curves.
Computing, 72:41-51, 2004.
21
P. Chalmovianský and B. Jüttler.
Predictor-corrector technique for approximate parameterization of intersection curves.
Technical Report 2005-10, SFB F013, August 2005.
22
P. Chalmovianský and B. Jüttler.
A non-linear circle-preserving subdivision scheme.
Advances in Computational Mathematics, 2007.
to appear.
23
T. Dokken and B. Jüttler, editors.
Computational methods for algebraic spline surfaces.
Springer-Verlag, 2005.
Papers from the ESF Exploratory International Workshop (COMPASS) held in Kefermarkt, September 29-October 3, 2003.
24
M.-S. K. E. Wurm, B. Jüttler.
Approximate rational parameterization of implicitly defined surfaces.
Technical Report 2005-4, SFB F013, March 2005.
25
G. Farin, B. Jüttler, and H. Prautzsch, editors.
Special Issue in Honor of Josef Hoschek.
Comput. Aided Geom. Design. Elsevier, 2003.
26
R. Feichtinger.
Hermite Interpolation durch quintische Kurven mit pythagoräischen Hodographen.
Master's thesis, University of Linz, 2005.
27
C. Feurer.
Mathematical aspects of new design tool for modelling turbine blades.
Master's thesis, University of Linz, 2007.
ongoing.
28
J. Fürst.
Lokale Modifikation von Turbinschaufeln (Local modification of turbine blades).
Master's thesis, University of Linz, 2006.
29
J. Gahleitner.
Monoid Spline Curves and Surfaces.
PhD thesis, Johannes Kepler University Linz, 2004.
30
J. Gahleitner, B. Jüttler, and J. Schicho.
Approximate parameterization of planar cubics.
Talk at the the conference ``Curves and Surfaces'' in Saint-Malo 2002, June 2002.
31
J. Gahleitner, B. Jüttler, and J. Schicho.
Approximate parameterization of planar cubics.
In T. Lyche, M. L. Mazure, and L. L. Schumaker, editors, Curve and Surface Design: Saint-Malo 2002, pages 167-176, Brentwood, 2003. Nashboro Press.
32
T. Horsch and B. Jüttler.
Cartesian spline interpolation for industrial robots.
Computer Aided Design, 30:217-224, 1998.
33
J. Hoschek and B. Jüttler.
Techniques for fair and shape-preserving surface fitting with tensor-product B-spline.
In J. M. P. na, editor, Shape Preserving Representations in Computer Aided Design, pages 163-185. Nova Science Publishers, 1999.
34
D.-E. Hyun, B. Jüttler, and M.-S. Kim.
Minimizing the distortion of affine spline motions.
In Proceedings of the Ninth Pacific Conference on Computer Graphics and Applications, pages 50-59. IEEE Press, 2001.
35
D.-E. Hyun, B. Jüttler, and M.-S. Kim.
Minimizing the distortion of affine spline motions.
Graphical Models, 64(2):128-144, 2002.
36
B. Jüettler, P. Chalmoviansly, M. Shalaby, and E. Wurm.
Approximate Algebraic Methods for Curves and Surfaces and their Applications.
In 21st Spring Converence on Computer Graphics. Comenius University Press / ACM Siggraph 2005, 2005.
37
B. Jüttler.
Construction and modification of convex parametric spline curves and surfaces.
In H. Nowacki and P. Kaklis, editors, Creating Fair and Shape-Preserving Curves and Surfaces, pages 219-229. Teubner, 1998.
38
B. Jüttler.
Convex surface fitting with tensor-product bézier surfaces.
In M. D. hlen, T. Lyche, and L. L. Schumaker, editors, Mathematical Methods for Curves and Surfaces II, pages 263-270, 1998.
39
B. Jüttler.
The dual basis functions for the bernstein polynomials.
Advances in Computational Mathematics, 8:345-352, 1998.
40
B. Jüttler.
Generating rational frames of space curves via Hermite interpolaton with pythagorean hodograph cubic splines.
In D. P. Choi, H. I. Choi, M. S. Kim, and R. R. Martin, editors, Differential/Topological Techniques in Geometric Modeling and Processing'98, pages 83-106. Bookplus press, 1998.
41
B. Jüttler.
Rotation minimizing spherical motions.
In J. Lenarcic and M. Husty, editors, Advances in Robot Kinematics: Analysis and Control, pages 413-422. Kluwer, 1998.
42
B. Jüttler.
Triangular bézier surface patches with a linear normal vector field.
In R. Cripps, editor, The Mathematics of Surfaces VIII, pages 431-446. Information Geometers, 1998.
43
B. Jüttler.
Arbitrarily weak linear convexity conditions for multivariate polynomials.
Stud. Scient. Math. Hung., 36:165-183, 2000.
44
B. Jüttler.
Bounding the hausdorff distance of implicitly defined and/or parametric curves.
In T. Lyche and L. L. Schumaker, editors, Mathematical Methods in CAGD: Oslo 2000. Vanderbilt University Press, 2000.
45
B. Jüttler.
Least-squares fitting of algebraic spline curves via normal vector estimation.
In R. Cipolla and R. R. Martin, editors, The Mathematics of Surfaces IX, pages 263-280, 2000.
46
B. Jüttler.
Rationale splines zur robotersteuerung.
In Colloquia Academica - Akademievorträge junger Wissenschaftler, pages 7-28, Stuttgart, 2000. Akademie der Wissenschaften und der Literatur, Mainz, Franz Steiner Verlag.
47
B. Jüttler.
Hermite interpolation by pythagorean hodograph curves of degree seven.
Mathematics of Computation, 70:1089-1111, 2001.
48
B. Jüttler.
Hermite interpolation by spherical quartics.
Poster at the SIAM Conference on Geometric Design and Computing, Sacramento, 2001.
49
B. Jüttler.
Interpolating spherical Hermite data by rational quartic curves.
Invited lecture at Dresden University of Technology, 2001.
50
B. Jüttler.
Numerical and symbolic techniques for implicitly defined spline surfaces.
Workshop on Numerical Simulation, Herrsching (Ammersee), 2001.
51
B. Jüttler.
Approximate algebraic methods for cagd.
Geometrische Datenverarbeitung, Math. Forschungsinstitut Oberwolfach, 2002.
52
B. Jüttler.
Constructing spherical rational curves.
ADG, Hagenberg, 2002.
53
B. Jüttler.
Approximate algebraic methods for computer aided geometric design.
In G. Weiß, editor, Proc. Dresden Symposium Geometry: Constructive and kinematic, pages 142-147. Technische Universität Dresden, 2003.
54
B. Jüttler.
Approximate algebraic techniques methods for computer aided geometric design.
Invited lecture at Dresden Symposium Geometry - constructive and kinematic, Dresden, 2003.
55
B. Jüttler.
Filling holes in point clouds.
Invited lecture at the University of Hongkong, Hongkong, 2003.
56
B. Jüttler.
Filling holes in point clouds.
Invited lecture at Seoul National University, Seoul, 2003.
57
B. Jüttler.
Generating tool paths for a numerically controlled calotte cutting system.
EMS-SMAI conference on Applied Mathematics and Applications of Mathematics, 2003.
58
B. Jüttler.
Implicit surface fitting and applications.
Talk at SIAM conference on Geometric Design and Computing, Seattle, 2003.
59
B. Jüttler.
Using line geometry for parameterizing special algebraic surfaces.
Invited lecture at the Mathematics of Surfaces X, Leeds, 2003.
60
B. Jüttler and P. Chalmovianský.
Approximate parameterization by planar rational curves.
Technical Report 2004-14, SFB F013, July 2004.
61
B. Jüttler and P. Chalmovianský.
A predictor-corrector-type technique for the approximate parameterization of intersection curves.
Appl. Algebra Engrg. Comm. Comput., 18(1-2):151-168, 2007.
62
B. Jüttler and A. Felis.
Least-squares fitting of algebraic spline surfaces.
Advances in Computational Mathematics, 17:135-152, 2002.
63
B. Jüttler, A. Felis, and P. Chalmovianský.
Least-squares fitting of algebraic spline surfaces.
Talk at the 7th SIAM Conference on Geometric Design and Computing, November 2001.
64
B. Jüttler and C. Mäurer.
Cubic pythagorean hodograph spline curves and applications to sweep surface modeling.
Computer-Aided Design, 31:73-83, 1999.
65
B. Jüttler, M. Oberneder, and A. Sinwel.
On the existence of biharmonic tensor-product Bézier surface patches.
Comput. Aided Geom. Design, 23(7):612-615, 2006.
66
B. Jüttler and K. Rittenschober.
Using line congruences for parameterizing special algebraic surfaces.
In The Mathematics of Surfaces X, pages 223-243, Berlin, 2003. Springer.
67
B. Jüttler and M. L. Sampoli.
Hermite interpolation by piecewise polynomial surfaces with rational offsets.
Computer Aided Geometric Design, 17:361-385, 2000.
68
B. Jüttler, J. Schicho, and M. Shalaby.
Approximate implicitization of planar curves.
talk at Geometrie-Tagung 2002, Stift Vorau, Austria, May 2002.
69
B. Jüttler, J. Schicho, and M. Shalaby.
$c^0$spline implicitization of planar curves.
Poster at ISSAC 2002, Lille, France, July 2002.
70
B. Jüttler, J. Schicho, and M. Shalaby.
Spline implicitization of planar curves.
02-23, SFB Technical Report, November 2002.
71
B. Jüttler, J. Schicho, and M. Shalaby.
$c^1$spline implicitization of planar curves.
Poster at ISSAC 2003, Pennsylvania, USA, August 2003.
72
B. Jüttler, J. Schicho, and M. Shalaby.
Spline implicitization of planar curves.
In T. Lyche, editor, Curve and Surface Design: Saint-Malo 2002, pages 225-235, 2003.
73
B. Jüttler, J. Schicho, and M. Shalaby.
$c^1$spline implicitization of planar curves.
In F. Winkler, editor, Automated deduction in geometry, Lecture Notes in Artificial Intelligence, 2930, pages 161-177. Springer, Berlin, 2004.
74
B. Jüttler and U. Schwanecke.
Analysis and design of Hermite subdivision schemes.
The Visual Computer, 18:326-342, 2002.
75
B. Jüttler and M. G. Wagner.
Rational motion-based surface generation.
Computer-Aided Design, 31:203-213, 1999.
76
B. Jüttler and W. Wang.
The shape of spherical quartics.
Computer Aided Geometric Design, 20(8-9):621-636, 2003.
In memory of Professor J. Hoschek.
77
M. Kapl.
Spline wavelets.
Workshop on Algebraic Spline Curves and Surfaces, Eger, Hungary, May 17-18 2006.
78
M. Kapl.
Weighted wavelets.
FSP S0920 Workshop, Vorau, Austria, November 2006.
79
M. Kapl.
Multiresolution Analysis for Implicitly Defined Algebraic Spline Curves and Surfaces.
PhD thesis, University of Linz, 2007.
ongoing.
80
M. Kapl.
Multiresolution analysis with weighted spline wavelets.
Workshop on Computional Methods for Algebraic Spline Surfaces, strobl, Austria, 10.9.07-14.9.07, September 2007.
81
M. Kapl.
Weighted spline wavelets.
12th International Conference in Approximation Theory, San Antonio, (Texas), USA, 04.03-08.03.07, March 2007.
82
M. Kapl.
Weighted spline wavelets.
SFB Status Seminar, Strobl, Austria, 12.04-14.04.07, April 2007.
83
M. Kapl and B. Jüttler.
Multiresolution analysis for implicitly defined algebraic spline curves with weighted wavelets.
In M. Neamtu and L. Schumaker, editors, Approximation Theory 12: San Antonio 2007. Nashboro Press, 2007.
to appear.
84
M. Kapl and B. Jüttler.
Multiresolution analysis for implicitly defined algebraic spline curves with weighted wavelets.
Technical Report 2007-12, SFB F013, June 2007.
85
M. Kapl and B. Jüttler.
Weighted biorthogonal spline wavelets.
Technical Report 2007-13, SFB F013, June 2007.
86
D. Koch.
Deflections of turbine blades.
Master's thesis, University of Linz, 2007.
87
L. Koch.
Flächenrückführung für Turbinschaufeln (Reverse engineering of turbine blades).
Master's thesis, University of Linz, 2005.
88
D. Lukas and P. Chalmoviansky.
A sequential coupling of optimal topology and multilevel shape design applied to $2$-dimensional nonlinear magnetostatics.
Technical Report 2005-9, SFB F013, May 2005.
89
C. Mäurer and B. Jüttler.
Rational approximation of rotation minimizing frames using pythagorean-hodograph cubics.
Journal for Geometry and Graphics, 3:141-159, 1999.
90
M. Oberneder.
Symbolische und numerische Methoden zur Ermittlung der Schnittkurve zweier biquadratischen Bezierflächen.
Master's thesis, University of Linz, 2005.
91
C. Pechstein and B. Jüttler.
Monotonicity-preserving interproximation of $b$-$h$-curves.
Technical Report 2004-15, SFB F013, August 2004.
92
C. Pechstein and B. Jüttler.
Monotonicity-preserving interproximation of B-H-curves.
Journal of Computational and Applied Mathematics, 196(1):45-57, 2006.
93
E. Pilgerstorfer.
Constants for biarc approximation.
Master's thesis, University of Linz, 2007.
ongoing.
94
J. Reisinger.
Generalized barycentric coordinates.
Master's thesis, University of Linz, 2006.
95
K. Rittenschober.
Constructing Curves and Surfaces on Rational Algebraic Surfaces.
PhD thesis, University of Linz, May 2005.
96
M. Rossgatterer.
Gauss-newton-type methods for lp approximation.
Master's thesis, University of Linz, 2007.
ongoing.
97
U. Schwanecke and B. Jüttler.
A B-spline approach to Hermite subdivision.
In A. Cohen, C. Rabut, and L. L. Schumaker, editors, Curve and Surface Fitting, pages 385-392. Vanderbilt University Press, 2000.
98
M. Shalaby.
Spline Implicitization of Planar Curves and Applications.
PhD thesis, Johannes Kepler University, 2003.
99
M. Shalaby, B. Jüttler, and J. Schicho.
$c^1$implicitization of planar curves.
Poster at the International Workshop on Numerical and Symbolic Scientific Computing, Strobl, Austria, June 2003.
100
M. Shalaby, B. Jüttler, and J. Schicho.
$c^1$spline implicitization of planar curves and its applications.
talk at IMACS-ACA 2003, NC, USA, July 2003.
101
M. Shalaby, B. Jüttler, and J. Schicho.
Approximate implicitization of planar curves by piecewise rational approximation of the distance function.
Appl. Algebra Engrg. Comm. Comput., 18(1-2):71-89, 2007.
102
M. F. Shalaby and B. Jüttler.
Approximate implicitization of space curves and of surfaces of revolution.
Technical Report 2006-6, SFB F013, March 2006.
103
M. F. Shalaby, J. B. Thomassen, E. M. Wurm, T. Dokken, and B. Jüttler.
Piecewise approximate implicitization: experiments using industrial data.
In Algebraic geometry and geometric modeling, Math. Vis., pages 37-51, Berlin, 2006. Springer.
104
L. Shen, F. Chen, B. Jüttler, and J. Deng.
Approximate $\mu$-bases of rational curves and surfaces.
In M.-S. Kim and K. Shimada, editors, Goemetric Modelling and Processing, pages 175-188. Springer LNCS 4077, 2006.
105
Z. Šír, J. Gravesen, and B. Jüttler.
Curves and surfaces represented by polynomial support functions.
Technical Report 2006-36, SFB F013, November 2006.
106
K.-A. Sun, B. Jüttler., M.-S. Kim, and W. Wang.
Computing the distance between two surfaces via line geometry.
In S. Coquillart et al., editors, Proceedings of the Tenth Pacific Conference on Computer Graphics and Applications, pages 236-245. IEEE Press, 2002.
107
I. Szilágyi, B. Jüttler, and J. Schicho.
Local parametrization of cubic surfaces.
Technical Report SFB-Report No. 2004-31, SFB013, December 2004.
108
I. Szilágyi, B. Jüttler, and J. Schicho.
Local parametrization of cubic surfaces.
J. Symbolic Comput., 41(1):30-48, 2006.
109
E. Wings and B. Jüttler.
Generating tool paths on surfaces for a numerically controlled calotte cutting system.
Computer-Aided Design, 36:325-331, 2004.
110
E. Wurm.
Approximate Techniques for the Implicitisation and Parameterisation of Surfaces.
PhD thesis, University of Linz, September 2005.
111
E. Wurm, B. Jüttler, and M.-S. Kim.
Approximate Rational Parameterization of Implicitly Defined Surfaces.
In The Mathematics of Surfaces XI, volume 3604 of Springer Lecture Notes on Computer Science, 2005.
112
H. Yang and B. Jüttler.
Fitting implicitly defined curves to unorganized points with sharp features.
In P. Chenin, T. Lyche, and L. L. Schumaker, editors, Curve and Surface Design: Avignon 2006, pages 247-283. Nashboro Press, 2007.




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SpezialForschungsBereich SFB F013 | Special Research Program of the FWF - Austrian Science Fund