Daniela Rosca - Publications

Papers

Note: The papers published in ISI journals are marked with and in ISI Proceedings with

2000-2004: here

2005

  • D. Rosca, Locally supported rational spline wavelets on the sphere, Math. Comp. 74, no. 252, 2005, 1803-1829.

  • D. Rosca, Haar wavelets on spherical triangulations, in N. Dogson, M. Floater, M. Sabin (eds) Advances in Multiresolution for Geometric Modelling, Springer Verlag, 2005, pp. 405-417.(pdf)

  • D. Rosca, Bidimensional interpolating operators of finite element type and exactness two, Rev. Anal. Numér. Théor. Approx. 34, no. 2, 2005, 181-191.(pdf)

  • D. Rosca, Finite element operators for scattered data, in I. Gavrea, M. Ivan (eds), Mathematical Analysis and Approximation Theory, Mediamira Science Publisher, 2005, pp. 201-210.(pdf)

2006

  • J. Prestin, D. Rosca, On some cubature formulas on the sphere, J. Approx. Theory 142, 2006, 1-19.(pdf)

  • D. Rosca, Piecewise constant wavelets defined on closed surfaces, J. Comput. Anal. Appl. 8, no. 2, 2006, 121-132.

  • D. Rosca, Fourier series with linear splines on an interval, Result. Math. 49, 2006, 171-184.

  • D. Rosca, On the degree of exactness of some positive cubature formulas on the sphere, Aut. Comput. Appl. Math. 15, no. 1, 2006, 283-288. (pdf)

  • D. Rosca, Optimal Haar wavelets on spherical triangulations, Pure Math. Appl. 15, no. 4, 2006, 429-438. (pdf)

  • D. Rosca, Some optimal wavelets with respect to the 1-norm of the compression error, Proceedings of the 11th Symposium of Mathematics and Applications “Politehnica” University of Timisoara, November 2-5, 2006, 235-240.

2007

  • D. Rosca, Wavelet bases on the sphere obtained by radial projection, J. Fourier Anal. Appl. 13, no. 4, 2007, 421-434.

  • D. Rosca, Weighted Haar wavelets on the sphere, Int. J. Wavelets Multiresolut. Inf. Process. 5, no. 3, 2007, 501-511.

  • D. Rosca, On the solvability of some equations and systems of equations in C, Aut. Comput. Appl. Math. 16, no. 1, 2007, 133-139.

2008

  • D. Rosca, Piecewise constant wavelets on triangulations, obtained by 1-3 splitting, Int. J. Wavelets Multiresolut. Inf. Process. 6, no. 2, 2008, 209-222.

  • J-P. Antoine, D. Rosca, The wavelet transform on the two-sphere and related manifolds – A Review (invited paper), Proceedings of SPIE, Optical and Digital Image Processing, vol. 7000 (2008), B-1-15

  • D. Rosca, J-P. Antoine, Constructing orthogonal wavelet bases on the sphere, 16th European Signal Processing Conference (EUSIPCO 2008), Lausanne, Switzerland, August 25-29, 2008, paper 1569102372.

  • D. Rosca, A class of orthogonal matrices of dimension four, Aut. Comput. Appl. Math. 17, no. 2, 2008, 309-316. (pdf)

2009

  • G. Plonka, D. Rosca, Sparse representation of sperical data using the Easy Path Wavelet Transform, Proceedings of the 8th International Conference on Sampling Theory and Applications, Marseille May 18-22, 2009, paper 89.(pdf)

  • D. Rosca, On a norm equivalence in L^2(S^2), Result. Math. 53, no. 3-4, 2009, 399-405.

  • D. Rosca, Spherical qadrature formulas with equally spaced nodes on latitudinal circles, Electron. Trans. Numer. Anal. 35, 2009, 148-163.

  • D. Rosca, J-P. Antoine, Locally supported orthogonal wavelets on the sphere via stereographic projection, Math. Probl. Eng, 2009, paper ID: 124904, 2009, 13 pages.

2010

  • G. Plonka, S. Tenorth, D. Rosca, Image approximation by a hybrid method based on the Easy Path Wavelet Transform, Proceedings of the 43rd Asilomar Conference on Signals, Systems and Computers, Nov. 1-4, 2009, Pacific Grove, CA, pp. 442-446.

  • J-P Antoine, D. Rosca, P. Vandergheynst, Wavelet transform on manifolds: old and new approaches, Appl. Comput. Harmon. Anal. 28, no. 2, 2010, 189-202.

  • G. Plonka, D. Rosca, Easy Path Wavelet Transform on triangulations of the sphere, Math. Geosci. 42, no. 7, 2010, 839-855. (pdf)

  • D. Rosca, New uniform grids on the sphere, Astronomy & Astrophysics, vol. 520, A63, 2010. (pdf)

  • D. Rosca, J-P. Antoine, Constructing wavelet frames and orthogonal wavelet bases on the sphere, in: Signal Processing, IN-Tech Press 2010, pp. 59-76.

2011

  • G. Plonka, S. Tenorth, D. Rosca, A new hibrid method for image compression using the Easy Path Wavelet transform, IEEE Trans. Image Process., vol. 20, no. 2, 2011, 372-381. (pdf)

  • D. Rosca, Wavelet analysis on some surfaces of revolution via equal area projection, Appl. Comput. Harmon. Anal., 30, no. 2, 2011, 272-282. (pdf)

  • V. Pop, D. Rosca, Generalized piecewise constant orthogonal wavelet bases on 2D-domains, Appl. Anal., vol. 90, no. 3-4, 2011, 715-723.

  • D. Rosca, Uniform and refinable grids on elliptic domains and on some surfaces of revolution, Appl. Math. Comput., vol. 217, 2011, 7812-7817.

  • D. Rosca, G. Plonka, Uniform spherical grids via equal area projection from the cube to the sphere, J. Comput. Appl. Math., vol. 236, no. 6, 2011, 1033-1041.

  • D. Rosca, Area preserving maps from rectangles to elliptic domains, Studia Univ. Babes-Bolyai Math. vol. 56, no. 2, 2011, 545-549. (pdf)

2012

  • D. Rosca, Generalized orthonormal piecewise constant wavelet bases with 1-4 splitting, Int. J. Wavelets Multiresolut. Inf. Process., vol. 10, no. 1, 2012, 1-10.

  • D. Rosca, G. Plonka, An Area Preserving Projection from the Regular Octahedron to the Sphere, Result. Math. vol. 63, no. 2, 2012, 429-444.

2013

  • T. Peter, G. Plonka, D. Rosca, Representation of sparse Legendre Expansions, J. Symbol. Comput., vol. 50, 2013, 159-169.

  • D. Rosca, M. De Graef, Area-preserving projections from hexagonal and triangular domains to the sphere and applications to electron back-scatter diffraction pattern simulations, Modelling Simul. Mater. Sci. Eng., vol. 21, no. 5, 2013, 1-17, paper ID 055021.

2014

  • S. D. Bolboaca, D. Rosca, L. Jantschi, Structure-Activity Relationships from Natural Evolution, MATCH Commun. Math. Comput. Chem., vol. 71, no. 1, 2014, 149-172.

  • A. Holhos, D. Rosca, An octahedral equal area partition of the sphere and near optimal configurations of points, Comput. Math. Appl., vol. 67, no. 5, 2014, 1092-1107.

  • D. Rosca, A. Morawiec, M. De Graef, A new method of constructing a grid in the space of 3D rotations and its applications to texture analysis, Modelling Simul. Mater. Sci. Eng., vol. 22, no. 7., 2014, paper ID 075013.

2015

  • M. Calixto, J. Guerrero, D. Rosca, Wavelet transform on the torus: a group theoretical approach, Appl. Comput. Harmon. Anal., vol. 38, no. 1, 2015, 32-49.

2017

  • A. Holhos, D. Rosca, Area preserving maps and volume preserving maps between a class of polyhedrons and a sphere, Adv. Comput. Math., 43 (2017), 677-697.

2018

  • A. Holhos, D. Rosca, Uniform and refinable 3D grids of regular convex polyhedrons and balls, Acta Math. Hung., 156 (1), 182-193 .

2019

  • A. Holhos, D. Rosca, Volume preserving maps between p-balls, Symmetry 11 (11), 1404.

Submitted, preprints

  • A. Holhos, D. Rosca, Orhonormal wavelet bases on the 3D ball via volume preserving map from the regular octahedron



Books

  • Catedra de Matematica, Teste grila de matematica pentru concursul de admitere la Universitatea Tehnica, issues 1998-2018, Transilvania Press and UT Press.

  • D. Catinas (Rosca), V. Campian, et. al., Calcul integral. Culegere de probleme pentru seminarii si examene, Ed. UTPress, Cluj-Napoca, 2000.

  • D. M. Ivan, N. Vornicescu, D. Rosca, et. al., Analiza Matematica. Culegere de probleme pentru seminarii, examene si concursuri, Ed. Mediamira, Cluj-Napoca, 2002.

  • N. Vornicescu, D. M. Ivan, D. Popa, V. Pop, D. Rosca, Calcul Diferential, Ed. Mediamira, Cluj-Napoca, 2004.

  • D. Rosca, Discrete Mathematics, Ed. Mediamira, Cluj-Napoca, 2007.

  • D. Rosca, Matematici discrete: metode de numarare, probabilitati discrete, teoria grafurilor, Ed. Mediamira, Cluj-Napoca, 2009.

  • D. Rosca, Introducere in analiza wavelet (184 pages), Ed. Mediamira, Cluj-Napoca, 2010.



PhD Thesis

Approximation with wavelets, Babes-Bolyai University of Cluj-Napoca, January 2004.



Habilitation Thesis

Wavelets on Two-Dimensional Manifolds, January 2012 (pdf).

Last Update: March 21, 2020