Publications


Lucia Romani's Publications International Journals (included in ISI and with peer review)
  1. G1 rational blend interpolatory schemes: a comparative study (with M. Boschiroli, C. Fünfzig and G. Albrecht), 2012.
    Graphical Models 74(1), pp. 29-49.

  2. Non-uniform interpolatory curve subdivision with edge parameters built upon compactly supported fundamental splines (with C. Beccari and G. Casciola), 2011.
    BIT Numerical Mathematics 51(4), pp. 781-808.

  3. Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction (with C. Conti), 2011.
    Journal of Computational and Applied Mathematics 236(4), pp.543-556.

  4. From approximating to interpolatory non-stationary subdivision schemes with the same generation properties (with C. Conti and L. Gemignani), 2011.
    Advances in Computational Mathematics 35(2-4), pp.217-241.

  5. Polynomial-based non-uniform interpolatory subdivision with features control (with C. Beccari and G. Casciola), 2011.
    Journal of Computational and Applied Mathematics 235(16), pp. 4754–4769.

  6. A comparison of local parametric C0 Bèzier interpolants for triangular meshes (with M. Boschiroli, C. Fünfzig and G. Albrecht), 2011.
    Computers & Graphics 35(1), pp. 20-34.

  7. Affine combination of B-spline subdivision masks and its non-stationary counterparts (with C. Conti), 2010.
    BIT Numerical Mathematics 50(2), pp. 269-299.

  8. A unified framework for interpolating and approximating univariate subdivision (with C. Beccari and G. Casciola), 2010.
    Applied Mathematics and Computation 216(4), pp. 1169-1180.

  9. A circle-preserving C2 Hermite interpolatory subdivision scheme with tension control, 2010.
    Computer Aided Geometric Design 27(1), pp. 36-47.

  10. From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks (with C. Conti and L. Gemignani), 2009.
    Linear Algebra and its Applications 431(10), pp. 1971-1987.

  11. Shape controlled interpolatory ternary subdivision (with C. Beccari and G. Casciola), 2009.
    Applied Mathematics and Computation 215(3), pp. 916-927.

  12. From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms, 2009.
    Journal of Computational and Applied Mathematics 224(1), pp. 383-396.

  13. A Newton-type method for constrained least-squares data-fitting with easy-to-control rational curves (with G. Casciola), 2009.
    Journal of Computational and Applied Mathematics 223(2), pp. 672-692.

  14. Approximation of surfaces with fault(s) and/or rapidly varying data, using a segmentation process, Dm-splines and the finite element method (with C. Gout, C. Le Guyader and A.-G. Saint-Guirons), 2008.
    Numerical Algorithms 48(1-3), pp.67-92.

  15. An interpolating 4-point C2 ternary non-stationary subdivision scheme with tension control (with C. Beccari and G. Casciola), 2007.
    Computer Aided Geometric Design 24(4), pp.210-219.

  16. A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics (with C. Beccari and G. Casciola), 2007.
    Computer Aided Geometric Design 24(1), pp.1-9.

  17. The mixed directional difference-summation algorithm for generating the Bèzier net of a trivariate four-direction Box-spline (with G. Casciola and E. Franchini), 2006.
    Numerical Algorithms 43(1), pp.75-98.

  18. The conversion matrix between uniform B-spline and Bèzier representations (with M.A. Sabin), 2004.
    Computer Aided Geometric Design 21(6), pp.549-560.

Book Contributions with peer review

  1. A Vector Outline Descriptor using Interpolatory Subdivision Curves (with C. Beccari and G. Casciola), 2007.
    In P. Chenin, T. Lyche and L.L. Schumaker (eds.), "Curve and Surface Design: Avignon 2006", Nashboro Press, pp. 31-40.

  2. A Piecewise Rational Quintic Hermite Interpolant for use in CAGD (with G. Casciola), 2005.
    In M. Dæhlen, K. Mørken and L.L. Schumaker (eds.), "Mathematical Methods for Curves and Surfaces: Tromsø 2004", Nashboro Press, pp. 39-49.

  3. Rational Interpolants with Tension Parameters (with G. Casciola), 2003.
    In T. Lyche, M-L. Mazure and L.L. Schumaker (eds.), "Curve and Surface Design: Saint-Malo 2002", Nashboro Press, pp. 41-50.

International Conference Proceedings with peer review

  1. Animation 3D: mouvements de caméra réalistes pour la stop motion (with L. Saini, N. Lissarrague, G. Albrecht, C. Fünfzig, J-P Bécar), 2011.
    Proceedings of H2PTM2011: Hypermédias et pratiques numériques, Metz (France), Oct.12–14, 2011. Hermes Science, Lavoisier, pp. 137-143.

  2. Stop-motion animation: towards a realistic 3D camera movement control (with L. Saini, N. Lissarrague, G. Albrecht), 2011.
    Proceedings of ISEA2011: the 17th International Symposium on Electronic Art, Istanbul (Turkey), Sept.14-21, 2011.

  3. A new family of interpolatory non-stationary subdivision schemes for curve design in geometric modeling (with C. Conti), 2010.
    AIP Proceedings of the 8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes (Greece), Sep.19-25, 2010, pp.523-526.

  4. Solving Bezout-like polynomial equations for the design of interpolatory subdivision schemes (with C. Conti and L. Gemignani), 2010.
    ACM Proceedings of the 35th International Symposium on Symbolic and Algebraic Computation (ISSAC), Munchen (Germany), Jul.25-28, 2010, pp.251-256.

  5. Surface Approximation with Faults: Application to Geophysical Surfaces (with C. Gout and M. Lefebvre), 2007.
    Proceedings of IEEE International Geoscience and Remote Sensing Symposium (IGARSS), Barcelona (Spain), Jul.23-27, 2007, pp.1658-1660.

  6. Interpolatory Subdivision Curves with Local Shape Control (with C. Beccari and G. Casciola), 2006.
    Full Papers Conference Proceedings, WSCG'2006, pp. 43-50.
    Proceedings of the 14-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, Plzen (Czech Republic), Jan.30-Feb.3, 2006.

Peer-reviewed Software

  1. MDDS (Mixed Directional Difference-Summation) package (with G. Casciola and E. Franchini), 2006.
    Numeralgo Library of Numerical Algorithms, file na23.tgz
    Available through the Journal Digital Library at http://www.netlib.org/numeralgo

Other publications (not included in ISI and not peer-reviewed)

  1. Stop-motion animation: from a state of the art to an ideal process (with L. Saini, N. Lissarrague and G. Albrecht), 2011.
    Mataplí n.95, pp.37-52.

  2. Un survol des méthodes d’interpolation de maillages triangulaires G1-continues par blend rationnel (with M. Boschiroli, C. Fünfzig and G. Albrecht), 2011.
    Actes des les Journées de Groupe de Travail en Modélisation Géométrique - GTMG 2011, Grenoble (France), Mar.30-31, 2011 , pp.73-81 (Paper in English).

  3. Animation 3D: le probléme de mouvement de camera (with L. Saini, N. Lissarrague and G. Albrecht), 2010.
    Actes des les Journées de Groupe de Travail en Modélisation Géométrique - GTMG 2010, Dijon (France), Mar.31 - Apr.1, 2010 , pp.69-76 (Paper in English).

  4. Etat de l'art des méthodes d'interpolation locale de maillages triangulaires par des facettes non-planes C0-continues (with M. Boschiroli, C. Fünfzig and G. Albrecht), 2009.
    Actes des 22es Journées de l'Association Française d'Informatique Graphique - AFIG09, Arles (France), Nov. 25-27, 2009 , pp. 39-47 (Paper in English).

  5. A general matrix representation for non-uniform B-spline subdivision with boundary control (with G. Casciola), 2007.
    ALMA-DL, Digital Library of the University of Bologna, AMS Acta c.i. 2532.

  6. Metodi NURBS e SUBDIVISION per la modellazione di curve e superfici (in Italian), 2005.
    Bollettino U.M.I., La Matematica nella Società e nella Cultura, Serie VIII, Vol. VIII-A, pp.629-632.

  7. A generalized conversion matrix between non-uniform B-spline and Bèzier representations with applications in CAGD (with G. Casciola), 2004.
    ALMA-DL, Digital Library of the University of Bologna, AMS Acta c.i. 853.

Theses

  1. NURBS and SUBDIVISION Methods for Curves and Surfaces , 2003.
    PhD Thesis in Computational Mathematics, University of Padova, Italy.

  2. Metodi numerici per la progettazione assistita da calcolatore (in Italian), 2000.
    Degree Thesis in Mathematics, University of Bologna, Italy.





Publications on MathSciNet Publications on Scopus