Journals

• Frosini, P., Landi, C.,
  Uniqueness of models in persistent homology: the case of curves,
  Inverse Problems, vol. 27 (2011) 124005.


• Biasotti, S., Cerri, A., Frosini, P., Giorgi, D.,
  A new algorithm for computing the 2-dimensional matching distance between size functions,
  Pattern Recognition Letters, vol. 32 (2011), n. 14, 1735-1746.


• Frosini, P., Landi, C.,
  No embedding of the automorphisms of a topological space into a compact metric space endows them with a composition that passes to the limit,
  Applied Mathematics Letters, vol. 24 (2011), n. 10, 1654-1657.


• Giorgi, D., Frosini, P., Spagnuolo, M., Falcidieno, B.,
  3D relevance feedback via multilevel relevance judgements,
  The Visual Computer, vol. 26 (2010), 1321-1338.


• Cerri, A., Frosini, P.,
  Advances in multidimensional Size Theory,
  Image Analysis and Stereology, vol. 29 (2010), 19-26.


• d'Amico, M., Frosini, P., Landi, C.,
  Natural pseudo-distance and optimal matching between reduced size functions,
  Acta Applicandae Mathematicae, vol. 109 (2010), n. 2, 527-554.


• Frosini, P.,
  Does intelligence imply contradiction?,
  Cognitive Systems Research, vol. 10 (2009), n. 4, 297-315.


• Donatini, P., Frosini, P.,
  Natural pseudo-distances between closed curves,
  Forum Mathematicum, vol. 21 (2009), Issue 6, 981–999.


• Cerri, A., Frosini, P., and Landi, C.,
  Stability in multidimensional Size Theory. Preprint


• Frosini, P., Landi, C.,
  Reparametrization invariant norms,
  Transactions of the American Mathematical Society, vol. 361 (2009), 407-452.


• Biasotti, S., De Floriani, L., Falcidieno, B., Frosini, P., Giorgi, D., Landi, C., Papaleo, L., Spagnuolo, M.
  Describing shapes by geometrical-topological properties of real functions,
  ACM Computing Surveys, vol. 40 (2008), n. 4, 12:1-12:87.


• Biasotti, S., Cerri, A., Frosini, P., Giorgi, D., Landi, C.,
  Multidimensional size functions for shape comparison,
  Journal of Mathematical Imaging and Vision, vol. 32 (2008), n. 2, 161-179.


• Ferri, M., Frosini, P.,
  VC-dimension on manifolds: a first approach,
  Mathematical methods in the applied sciences, vol. 31 (2008), n. 5, 589-605.


• Cerri, A., Ferri, M., Frosini, P., Giorgi, D.
  Keypics: free-hand drawn iconic keywords,
  International Journal of Shape Modeling, vol. 13 (2007), n. 2, 1-13.


• Donatini, P., Frosini, P.,
  Natural pseudodistances between closed surfaces,
  Journal of the European Mathematical Society, vol. 9 (2007), n. 2, 331–353.


• d'Amico, M., Frosini, P., and Landi, C.,
  Using matching distance in Size Theory: a survey,
  International Journal of Imaging Systems and Technology, vol. 16 (2006) , n. 5, 154–161. Preprint


• Cerri, A., Frosini, P., and Landi, C.,
  A global reduction method for multidimensional size graphs ,
  Electronic Notes in Discrete Mathematics, n. 26 (2006), 21-28.


• Frosini, P.,
  A note on the linearity of real-valued functions with respect to suitable metrics,
  Geometriae Dedicata, vol. 108 (2004), n. 1, 105-110.


• Donatini, P., Frosini, P.,
  Natural pseudodistances between closed manifolds,
  Forum Mathematicum, vol. 16 (2004), n. 5, 695-715.


• Donatini, P., Frosini, P.,
  Lower bounds for natural pseudodistances via size functions,
  Archives of Inequalities and Applications, vol. 2 (2004), n. 1, 1-12.


• Dibos, F., Frosini, P., and Pasquignon, D.,
  The use of Size Functions for Comparison of Shapes through Differential Invariants,
  Journal of Mathematical Imaging and Vision, vol. 21 (2004), n. 2, 107-118.


• Frosini, P., Landi, C.,
  Intrinsic harmonicity of Morse functions,
  Mathematika, vol. 50 (2003), 167-170.


• Frosini, P.,
  A note on the representability of compact sets by real sequences,
  Applied Mathematics Letters, 15(8) (2002), 931-935.


• Frosini, P., Landi, C.,
  Size functions and formal series,
  Applicable Algebra in Engineering, Communication and Computing, 12(4) (2001), 327-349.


• Frosini, P., Mulazzani, M.,
  Size homotopy groups for computation of natural size distances,
  Bulletin of the Belgian Mathematical Society - Simon Stevin, 6 (1999), 455-464.


• Frosini P., Landi C.,
  Size Theory as a Topological Tool for Computer Vision,
  Pattern Recognition And Image Analysis, vol. 9 (4) (1999), pp. 596-603.


• Frosini, P., Pittore, M.,
  New methods for reducing size graphs,
  International Journal of Computer Mathematics, 70 (3) (1999), 505-517.


• Frosini, P.,
  Metric homotopies,
  Atti del Seminario Matematico e Fisico dell'Università di Modena, XLVII, 271-292 (1999).


• Frosini P., Landi C.,
  Size functions and morphological transformations,
  Acta Applicandae Mathematicae, vol. 49 (1) (1997), pp. 85-104.


• Frosini P.,
  Connections between size functions and critical points,
  Mathematical Methods In The Applied Sciences, vol. 19 (1996), pp. 555-569.


• Frosini, P.,
  Una rapida escursione fra le distanze naturali di taglia,
  Atti Accademia Peloritana dei Pericolanti Cl. Sci. Fis. Mat. Natur., vol. LXXIII (1995), 25-40 (Italian)


• Domenicucci, F., Frosini, P., Lazzarini, S.,
  Calcolo della taglia libera di immagini,
  Automazione e Strumentazione, Novembre 1994, 83-87.


• Verri, A., Uras, C., Frosini, P., Ferri, M.,
  On the use of size functions for shape analysis,
  Biological Cybernetics, 70, (1993), 99-107.


• Frosini, P.,
  Discrete computation of size functions,
  Journal of Combinatorics, Information & System Sciences, 17, 3-4 (1992), 232-250.


• Frosini, P.,
  A distance for similarity classes of submanifolds of a Euclidean space,
  Bulletin of the Australian Mathematical Society, 42, 3 (1990), 407-416.

Conference proceedings

• Frosini, P., Landi, C., Persistent Betti Numbers for a Noise Tolerant Shape-Based Approach to Image Retrieval, A. Berciano et al. (Eds.): CAIP 2011, LNCS 6854, pp. 294-301. Springer-Verlag Berlin Heidelberg (2011).


• Giorgi, D., Frosini, P., Spagnuolo, M., Falcidieno, B., Multilevel relevance feedback for 3D shape retrieval, Proceedings 3DOR'09: Eurographics Workshop on 3D Object Retrieval, The Eurographics Association, 45-52, 2009.


• Biasotti, S., Falcidieno, B., Frosini, P., Giorgi, D., Landi, C., Marini, S., Patanè, G., Spagnuolo, M., 3D shape description and matching based on properties of real functions, Eurographics 2007 Tutorial Notes, 1025-1074, The Eurographics Association, 2007.


• Frosini, P., Geometrical shape comparison by size theory, Proceedings in Applied Mathematics and Mechanics, Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007, Volume 7 Issue 1 (December 2007), Pages 1141907 - 1141908.


• Ferri, M., Frosini, P., A proposal for image indexing: keypics, plastic graphical metadata, In: Proc. SPIE Vol. 5670, Internet Imaging VI; Simone Santini, Raimondo Schettini, Theo Gevers Eds. (2005), 225-231.


• Landi, C., Frosini, P., Size functions as complete invariants for image recognition, Proc. SPIE Vol. 4794, p. 101-109, Vision Geometry XI, Robert A. Melter, Angela Y.Wu, Longin J. Latecki (eds.) (2002).


• Brucale, A., Cesari, F., d'Amico, M., Ferri, M., Frosini, P., Gualandri, L., Guerra, M., Lovato, A., Pace, I., Image Retrieval through Abstract Shape Indication, Proceedings IAPR Workshop on Machine Vision Applications, University of Tokyo, Japan (2000), 367-370.


• Donatini, P., Frosini, P., Landi, C., Deformation energy for size functions, Proceedings Second International Workshop EMMCVPR'99, Lecture Notes in Computer Science 1654, E. R. Hancock, M. Pelillo (editors) Springer-Verlag, Berlin Heidelberg (1999), 44-53.


• Landi, C., Frosini, P., Algebraic representation of Size Functions, Pattern Recognition and Image Understanding, 5th open German-Russian workshop, B. Radig et al. (eds.), Infix, 41-46, 1999.


• Collina, C., Ferri, M., Frosini, P., and Porcellini, E., SketchUp: Towards qualitative shape data management, Proceedings Third Asian Conference on Computer Vision, Lecture Notes in Computer Science 1351, vol. I, R. Chin, T. Pong (editors) Springer-Verlag, Berlin Heidelberg (1998), 338-345.


• Donatini P., Ferri M., Frosini P., Applications of Size Theory to Computer Vision and Pattern Recognition, Joint Workshop of the AI*IA - IAPR-IC IAPRVA98 (Ferrara), Universita' di Ferrara, Ferrara (1998), 65-68.


• Donatini, P., Frosini, P., Lovato, A., Size functions for signature recognition, Proceedings of the SPIE's Workshop ``Vision Geometry VII'', 3454 (1998), 178-183.


• Ferri, M., Frosini, P., Lovato, A., and Zambelli, C., Point selection: A new comparison scheme for size functions (With an application to monogram recognition), Proceedings Third Asian Conference on Computer Vision, Lecture Notes in Computer Science 1351, vol. I, R. Chin, T. Pong (editors) Springer-Verlag, Berlin Heidelberg (1998), 329-337.


• Landi, C., Frosini, P., New pseudodistances for the size function space, Proc. SPIE Vol. 3168, p. 52-60, Vision Geometry VI, Robert A. Melter, Angela Y. Wu, Longin J. Latecki (eds.), 1997.


• Landi, C., Frosini, P., Connections between size functions and morphological transformations, Proc. SPIE Vol. 2785, p. 24-32, Vision Systems: New Image Processing Techniques, Philippe Refregier; Ed. (1996).


• Frosini, P., Ferri, M., Range size functions, Proceedings of the SPIE's Workshop ``Vision Geometry III'', 2356 (1994), 243-251.


• Frosini, P., Measuring shapes by size functions, Proc. of SPIE, Intelligent Robots and Computer Vision X: Algorithms and Techniques, Boston, MA 1607 (1991), 122-133. (This paper can be downloaded from here)