HomePage of Petra Wiederhold, Publications.

(if you are interested in a paper copy, please write me an e-mail to   pwiederhold@gmail.com)

Research papers in international journals:

1.  T. Matos, P. Wiederhold: SL(4,R) - Invariant Chiral Fields", Letters in Mathematical Physics, Vol. 27, pp. 265-272, 1993.

2.  P. Wiederhold and R.G. Wilson: The Krull dimension of Alexandroff T_0 spaces, in: S. Andima et al (Eds.), Papers on General Topology and Applications, Annals of the New York Academy of Science, Vol. 806, 444-453, 1996.

3.  T. Matos, U. Nucamendi G., P. Wiederhold: SU(N)- and SO(N)- invariant Chiral fields - One- and two-dimensional subspaces, Journal of Mathematical Physics, Vol. 40, pp. 2500-2513, 1999.

4.  P. Wiederhold and R.G. Wilson: The Alexandroff dimension of digital quotients of Euclidean spaces, Discrete & Computational Geometry, Vol. 27, 273-286, 2002.

5.  M. Alcubierre, F. Siddharta G., T. Matos, D. Nuñez, L. A. Ureña-López, P. Wiederhold: Galactic collapse of scalar field matter, Classical and Quantum Gravity, Vol. 19, pp. 5017-5024, 2002.

6.  P. Wiederhold and R.G. Wilson: The Alexandroff dimension of quotients of R2, Discrete & Computational Geometry, Vol. 32, 149-160, 2004.

7.  P. Wiederhold and S. Morales: Thinning on cell complexes from polygonal tilings, Discrete Applied Mathematics, Vol. 157 Iss. 16, pp. 3424-3434, 2009.

8.  T. Matos, G. Miranda, R. Sanchez-Sanchez, P. Wiederhold: Class of Einstein-Maxwell-Dilaton-Axion Space-Time, Physics Review D 79, 124016 [12 pages], 2009.

9.  P. Wiederhold and M. Villafuerte: A new Algorithm for Triangulation from Cross Sections and its Application to Surface Area Estimation, International Journal of Imaging Systems and Technology (IJIST-Wiley), Vol.21 Issue 1, 58-66, 2011.

NOTE for persons interested in that algorithm: in the published version of this article, there are two (very little) typing errors, both on page 60:
* Section III.C. line 4 should say: “and $p_j^{(2)}$ the current point on $C^{(2)}$”.
* Section III.D. subsection “TRIANGULATION ALGORITHM” within Step A1 line 2 should say: “if additionally $x_{i+1}^{(1)} \leq x_{j+1}^{(2)}$ then $C^{(1)}$ provides the next point; …”.

10.  K.G. Subramanian, P. Wiederhold, I. Venkat, R. Abdullah: Generative models for pictures tiled by triangles, Romanian Journal of Information Science and Technology (ROMJIST, ISSN 1453-8245), Vol.15 Nb.3, 246-265, 2012.

11.  H. Fernau, R. Freund, M.L. Schmid, K.G. Subramanian, P. Wiederhold: Contextual Array Grammars and Array P Systems, Annals of Mathematics and Artificial Intelligence (AMAI-Springer), Vol. 75, Issue 1, pp. 5-26, 2015 (published online 12 Nov. 2013, DOI: 10.1007/s10472-013-9388-0).

12. S.M. Dominguez-Nicolas, P. Arguelles-Lucho, P. Wiederhold: FPGA based image acquisition and graphic interface for hardness tests by indentation, International Journal of Advanced Computer Technology (IJACT, ISSN:2319-7900), Vol. 6, Nb. 6, pp. 6-16, Dec. 2016.

13. M. Marquez, T. Matos, P. Wiederhold: Cosmic acceleration from topological considerations II: Fiber bundles, Classical and Quantum Gravity, IOP Publishing, Vol. 37, 015005 (14pp), Jan. 2020 (online 29.11.2019).

14. J.G. Cebada-Reyes, P. Wiederhold, P. Sánchez-Sánchez, I. López-Cruz: Visual control law tuning using the JADE algorithm applied to leaf detection and cutting, IEEE Latin America Transactions, Vol. 18, No. 7, pp. 1255- 1263, July 2020 (online 15.05.2020).

15.  M. Villafuerte, P. Wiederhold: A Polygonal Approximation for General 4-Contours Corresponding to Weakly Simple Curves, Journal of Mathematical Imaging and Vision (Springer), Vol. 64, Issue 2, pp. 161-193, Feb. 2022 (online 09.01.2022), DOI: 10.1007/s10851-021-01060-0 .


1. P.Wiederhold: Softwaresysteme AMBA/R und AMBA/72 zur Automatischen Bildverarbeitung für die BVS A6471, A6472, Software User Handbook, 73 pages, edited by the University "Friedrich Schiller", Jena, Germany, 1988.

2. T. Matos and P.Wiederhold: Principios Matemáticos para Ciencias Exáctas (Mathematics for Exact Sciences), Textbook written in Spanish, mainly focused to students in graduate studies in Physics, Editorial Colofón S.A. de C.V. (Ediciones Académicas de Matemáticas), Serie de Textos de Astronomía y Astrofísica del Instituto Avanzado de Cosmología, 534 pages, ISBN: 978-607-8513-33-8, printed in Mexico, January 2017. (A preliminary edition was printed by Innovación Editorial Lagares de México, December 2015, ISBN: 978-607-410-427-1.)

Research papers as book chapters:

1.  P. Wiederhold and R.G. Wilson: Dimension for Alexandrov Spaces, in: R. Melter, A. Wu (Eds.), Vision Geometry, SPIE Proceedings Series, Vol. 1832, 13-22, 1993.

2.  P. Wiederhold and S. Morales: Thinning on quadratic, triangular, and hexagonal cell complexes, in: V.E. Brimkov, R.P. Barneva, H.A. Hauptmann (Eds.), Proc. IWCIA'2008 (Intern. Workshop on Combinatorial Image Analysis, Buffalo, N.Y., U.S.A., April 2008), LNCS Vol. 4958, 13-25, Springer-Verlag Berlin Heidelberg, 2008.

3.  P. Wiederhold and M. Villafuerte: Triangulation of cross-sectional digital straights segments and minimum length polygons for surface area estimation, in: P. Wiederhold and R.P. Barneva (Eds.): Progress in Combinatorial Image Analysis, Research Publishing Services (247 pages, ISBN-13: 978-981-08-3870-9), Singapore, 79-92, 2010.

4.  K.G. Subramanian, I. Venkat, P. Wiederhold: A P System Model for Contextual Array Languages, in: R.P. Barneva et al (Eds.), Proc. IWCIA'2012 (Intern. Workshop on Combinatorial Image Analysis, Texas, U.S.A., Nov. 2012), LNCS 7655, 154-165, Springer-Verlag, Berlin Heidelberg, 2012.

5.  P. Wiederhold, H. Reyes: Relative Convex Hull Determination from Convex Hulls in the Plane, Proc. of IWCIA 2015 (Int. Workshop on Combinatorial Image Analysis, Nov. 2015, Kolkata, India), Springer Switzerland, LNCS Vol. 9448, 1-15, 2015.  see arxiv-Version.

!!! Important Note for persons interested in that ALGORITHM: in the published LNCS article version, there are two typing errors, both within the first lines of page 54:
* Line 3: instead of $O$ it should be $O_S$.
* Line 9: instead of $O$ it should be $O_E$.
In the pseudocode on page 57, everything is correct, in particular, $I_S$ and $I_E$ are well defined there. The error in the definitions of $I_S$ and $I_E$ appears only in the text. These errors were corrected for the arxiv-Version !

Survey or revision papers as book chapters:

1. P. Wiederhold: Graphentheorie, chapter of the book "AUTBILD'88 - Mathematische Grundlagen der Digitalen Bildverarbeitung", edited by the Friedrich Schiller University, Jena, Germany, pp. 26-38, 1989.

2. P.Wiederhold: Digital Geometry, 13 pages, in: P. Laplante (Ed.),  Encyclopedia of Computer Science and Technology (Second Edition, 1500 pages), CRC Press, Taylor & Francis Group, Dec. 2016,  DOI: 10.1081/E-ECST2-120054031 .

Edition of special issues of international journals:

1. V.E. Brimkov, R.P. Barneva and P. Wiederhold (Guest Eds.), Theoretical Computer Science Issues in Image Analysis and Processing, Volume 412, Issue 15, pp. 1299-1442 (12 papers), March 2011.

Preface: V.E. Brimkov, R.P. Barneva, P. Wiederhold, Theoretical Computer Science Issues in Image Analysis and Processing - Preface, Theoretical Computer Science (Elsevier) 412(15) (2011) 1299-1300.

2. V. E. Brimkov, R.P. Barneva and P. Wiederhold (Guest Eds.), Special Issue: Combinatorial Problems and Algorithms in Image Analysis, International Journal of Imaging Systems and Technology (IJIST-Wiley), Vol.21 Issue 1, pp. 1-119 (11 papers), March 2011.

Preface: R.P. Barneva, V.E. Brimkov, P. Wiederhold, Combinatorial Problems and Algorithms in Image Analysis (Guest Editorial), International Journal of Imaging Systems and Technology (Wiley)  21(1) (2011) 1-2.

Edition of books:

1. P.Wiederhold and R.P.Barneva (Eds.): Combinatorial Image Analysis (Proc. 13th Intern. Workshop IWCIA 2009, Playa del Carmen, Mexico, Nov. 2009; contains 33 papers, 437 pages), LNCS Volume 5852, Springer Verlag, 2009.

2. P. Wiederhold and R.P. Barneva (Eds.): Progress in Combinatorial Image Analysis, Research Publishing Services (247 pages, ISBN-13: 978-981-08-3870-9, ISBN-10: 981-08-3870-6), Singapore, 2010.

Research papers in proceedings of international congresses:

1. J.M. Ibarra Zannatha, U. Zaldivar Colado, P. Wiederhold: An approach to internet robotics: generation of interactive virtual worlds and internet teleoperation", in: U. Yildiran (Ed.), Proc. of the First Intern. Conf. on Information Technology in Mechatronics, (Istanbul, Turkey, 2001), IEEE Press, 108-115, 2001.

2. M. Alcubierre, F.S. Guzman, T. Matos, L. A. Ureña-Lopez y D. Núñez, P.Wiederhold: Scalar field dark matter and galaxy formation", in: H.V. Klapdor-Kleingrothuas y R.D. Viollier (Eds.), Proceedings of the Intern. Conf. "Dark Matter in Astro- and Particle Physics", (South Africa, 2002), Springer Verlag (ISBN 3-540-44257-X), pp. 356-364, (available on astro-ph/0204307), 2002.

3. C. Cruz-Gomez, P. Wiederhold, M. Gudino-Zayas:  Automatic liver tissue segmentation in microscopic images using fusion color space and multiscale morphological reconstruction, Proc. of TAEECE 2013 – Int. Conf. on Technological Advances in Electrical, Electronics and Computer Engineering (May 2013, Konya, Turkey), pp. 88 - 92, 2013. Print ISBN 978-1-4673-5612-1, DOI: 10.1109/TAEECE.2013.6557201.

4. C. Cruz-Gomez, P. Martins, W.C.A. Pereira, P. Wiederhold: A symmetry similarity  measure via the Log-Gabor transform for B-mode ultrasound images and magnetic resonance volumes, IFMBE Proceedings Vol. 45 (Proc. of the 6th European Conf. of the Int. Federation for Medical and Biological Engineering, Sept. 2014, Dubrovnik, Croatia), pp. 180-183, Springer Switzerland, 2015. DOI: 10.1007/978-3-319-11128-5_45.

5. S.M. Dominguez Nicolas, P. Wiederhold: A real-time image acquisition system based on FPGA hardness tests by indentation, Proc. of ICCSAI2014 - 2014 Int. Conf. on Computer Science and Artificial Intelligence (Dec. 20-21, 2014, Wuhan, China).

6. S.M. Dominguez-Nicolas, P. Wiederhold: Indentation image analysis for Vickers hardness testing, 15th Int. Conf. on Electrical Engineering, Computing Science, and Automatic Control, Ciudad de México, Sept. 5-7, 2018, IEEE Proceedings, pp. 1-6, DOI: 10.1109/ICEEE.2018.8533881.

Revision papers in journals:

1. P. Wiederhold: Bibliographie zur Automatischen Bildverarbeitung in der DDR 1985/86, Bild und Ton, Vol. 40, No. 6, pp. 181-182, 1987.

2. P. Wiederhold: Bibliographie zur Digitalen Bildverarbeitung 1986/87 in der DDR, Bild und Ton, Vol. 41, No. 6, pp. 185-189, 1988.

3. P. Wiederhold: Rezension of the book "Geometry of Locally Finite Spaces", review by invitation, book written by V. Kovalevsky (330 pages), IAPR News Letters, Vol.30 Nb.4 (Oct. 2008), pp. 18-20. see https://www.iapr.org/members/newsletter/Newsletter08-04/ (direct link to the first page: https://www.iapr.org/members/newsletter/Newsletter08-04/index_files/Page387.htm ). My review is cited in Amazon for providing an overview on the book: https://www.amazon.de/Geometry-Locally-Finite-Spaces-Algorithms/dp/product-description/3981225201 )


Technical reports:

1. K. Voss, A. Huebler, P. Wiederhold: Theoretical approaches to image processing, Technical Report, Forschungsergebnisse der FSU Jena, 1989.

2. J.L. Gordillo, H. Sossa, P. Wiederhold: Análisis de Imágenes y Reconocimiento de Patrones, Technical Report, Teaching Material, 80 pages, Dept. of Electrical Engineering, CINVESTAV-IPN, 1992.

3. P. Wiederhold: Funciones de dimensión en espacios de Alexandroff, Ph.D. Thesis (in Spanish), Dept. of Mathematics, Universidad Autónoma Metropolitana - Iztapalapa, D.F., México, 1998, supervisor: Richard G. Wilson.

4. P. Wiederhold and R.G. Wilson: Dimension functions for T_0 digital spaces, Technical Report CS-TR-147 / CITR-TR-6, 10 pages, Computer Science Dept., University of Auckland, May 1997.