Selected papers of

Prof. Dr. Ulrich Reif

 

o       U. Reif and J. Peters

Structural Analysis of Subdivision Surfaces - A Summary

in Topics in Multivariate Approximation and interpolation

K. Jetter et al. (eds.), Elsevier, (2006), 149-190.   

 

o       K. Karciauskas, J. Peters, and U. Reif

Shape characterization of subdivision surfaces - case studies

CAGD, 21 (2004), 601-614.

 

o       J. Peters and U. Reif

    Shape characterization of subdivision surfaces-basic principles

    CAGD, 21 (2004), 585-599.                    

 

o       U. Reif

In memoriam Josef Hoschek

CAGD, 20 (2003), 493-499.

 

o       K. Höllig and U. Reif

Nonuniform web-splines

CAGD, 20 (2003), 277-294.

 

o       K. Höllig, U. Reif, and J. Wipper

Error estimates for the web-method

in Mathematical Methods for Curves and Surfaces: Oslo 2000

T. Lyche und L.L. Schumaker (eds.),

Vanderbilt University Press, Nashville, TN, (2001), 195-209.

 

o       K. Höllig, U. Reif, and J. Wipper

Multigrid methods with web-splines

Numerische Mathematik 91, No 2, (2002), 237-256.

 

o       K. Höllig, U. Reif, and J. Wipper

Weighted extended b-spline approximation of Dirichlet problems

SIAM Journal on Numerical Analysis 39, No 2, (2001), 442-462.

 

o       U. Reif and P. Schröder

       Curvature Smoothness of Subdivision Surfaces       

Advances in Computational Mathematics 14, No 2, (2001), 157-174.

 

o       J. Peters and U. Reif

Least squares approximation of Bezier coefficients provides

best degree reduction in the L2-norm   

JAT Vol. 104, No. 1, (2000), 90-97.

 

o       U. Reif

Analyse und Konstruktion von Subdivisionsalgorithmen für

Freiformflächen beliebiger Topologie

Habilitationsschrift, Shaker Verlag (1999).

 

o       U. Reif

Best bounds on the approximation of polynomials and splines by their control structure      

CAGD 17 (2000), 579-589.

 

o       D. Lutterkort , J. Peters, and U. Reif

Polynomial degree reduction in the L2-norm equals best Euclidean

approximation of Bezier coefficients    

CAGD 16 (1999), 607-612.

 

o       A. Kipp and U. Reif

        On the existence of solutions to non-parametric fairing problems   

CAGD (1999), 217-221.

 

o       H. Prautzsch and U. Reif

    Degree estimates for C^k-piecewise polynomial subdivision surfaces      

Advances in Computational Mathematics 10 (1999), 209-217.

 

o       J. Peters and U. Reif

    The 42 equivalence classes of quadratic surfaces in affine n-space 

CAGD 15 (1998), 459-473.

 

o       J. Peters and U. Reif

    The simplest subdivision scheme for smoothing polyhedra     

ACM TOG 16 (1997), 420-431.

 

o       J. Peters and U. Reif

    Analysis of algorithms generalizing B-spline subdivision 

SIAM J. on Numer. Anal. Vol 35, No 2, (1998), 728-748.

 

o       U. Reif

    Uniform B-spline approximation in Sobolev spaces

Numerical Algorithms 15 (1997), 1-14.

 

o       U. Reif

    Orthogonality Relations for Cardinal B-Splines over Bounded Intervals

    in Geometric Modeling: Theory and Practice,

    W. Strasser, R. Klein, and R. Rau (eds.), Springer, (1998).

 

o       H. Bohl and U. Reif

    Degenerate Bezier patches with continuous curvature   

CAGD 14 (1997), 749-761.

 

o       K. Höllig, J. Hahn, and U. Reif

    Glattes Füllen n-seitiger Lücken

    in Mathematik - Schlüsseltechnologie für die Zukunft,

    K.-H. Hoffmann et al (eds.), Springer, 347-367, (1997).

 

o       U. Reif

    TURBS - topologically unrestricted rational B-splines     

    Constr. Approx. 14 (1998), 47-77.

 

o       U. Reif

    Orthogonality of cardinal B-Splines in weighted Sobolev spaces      

SIAM J. Math. Anal., Vol. 28, No. 5, (1997), 1258-1263.

 

o       U. Reif

    On constructing topologically unrestricted B-splines      

ZAMM 76 (1996), Suppl. 1, 73-74.

 

o       U. Reif

Some new results on subdivision algorithms for meshes of arbitrary topology   

In Wavelets and Multilevel Approximation,

Charles K. Chui and Larry L. Schumaker (eds.), (1995), 367-374.

 

o       U. Reif

    A refinable space of smooth spline surfaces of arbitrary topological genus       

JAT Vol 90, No 2 (1997), 174-199.

 

o       U. Reif

    A degree estimate for subdivision surfaces of higher regularity       

Proc. of the AMS, Vol. 124, Nr. 7, (1996), 2167-2174.

 

o       G. Aumann, K. Spitzmüller, and U. Reif

    A counterexample to a corollary of Kim et al.

CAGD 12 (1995), 853-855.

 

o       U. Reif

    A note on degenerate triangular Bezier patches    

CAGD 12 (1995), 547-550.

 

o       U. Reif

    Biquadratic G-spline surfaces      

CAGD 12 (1995), 193-205.

 

o       U. Reif

    A unified approach to subdivision algorithms near extraordinary vertices  

    CAGD 12 (1995), 153-174.    

 

o       U. Reif

    Neue Aspekte in der Theorie der Freiformflächen beliebiger Topologie     

Dissertation, Universität Stuttgart (1993).

 

 

 

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