Pointed pictures

We introduce the notion of entry and exit points for pictures and define a new operation on the resulting set of pointed pictures, which allows an algebraic description of them. This provides an alternative way for picture composition via a single operation, with respect to the classical use of pairs of operations. This can be used to impose a reading order in a picture resulting from the juxtaposition of several partial ones.

[1]  Giancarlo Mauri,et al.  Computing with Shapes , 2001, J. Vis. Lang. Comput..

[2]  Antonio Restivo,et al.  Two-Dimensional Languages , 1997, Handbook of Formal Languages.

[3]  Piero Mussio,et al.  Formalising visual languages , 1995, Proceedings of Symposium on Visual Languages.

[4]  Jayme Luiz Szwarcfiter,et al.  Hamilton Paths in Grid Graphs , 1982, SIAM J. Comput..

[5]  Piero Mussio,et al.  Specifying Dialog Control in Visual Interactive Systems , 1998, J. Vis. Lang. Comput..

[6]  Russell A. Kirsch,et al.  Computer Interpretation of English Text and Picture Patterns , 1964, IEEE Trans. Electron. Comput..

[7]  Alan C. Shaw,et al.  A Formal Picture Description Scheme as a Basis for Picture Processing Systems , 1969, Inf. Control..

[8]  Pieter A. M. Seuren,et al.  Graadadjektieven en orientatie , 1978 .

[9]  Azriel Rosenfeld,et al.  An array grammar programming system , 1973, Commun. ACM.

[10]  Piero Mussio,et al.  Defining visual languages for interactive computing , 1997, IEEE Trans. Syst. Man Cybern. Part A.

[11]  Michael F. Dacey,et al.  The syntax of a triangle and some other figures , 1970, Pattern Recognit..

[12]  Michel Latteux,et al.  Figures composées de pixels et monoïde inversif , 1997 .

[13]  Grzegorz Rozenberg,et al.  Using String Languages to Describe Picture Languages , 1982, Inf. Control..

[14]  Giancarlo Mauri,et al.  Bidimensional Contextual Grammars , 2000, Recent Topics in Mathematical and Computational Linguistics.

[15]  Gheorghe Paun,et al.  Successful Visual Human-Computer Interaction is Undecidable , 1998, Inf. Process. Lett..

[16]  Piero Mussio,et al.  The Theory of Visual Sentences to Formalize Interactive Visual languages , 2007 .

[17]  P. Bottoni,et al.  From Strings to Pictures and Back , 2003 .

[18]  Rani Siromoney,et al.  Abstract families of matrices and picture languages , 1972, Comput. Graph. Image Process..

[19]  V. Rajkumar Dare,et al.  Local and Recognizable Iso Picture Languages , 2004, ICONIP.

[20]  Rani Siromoney,et al.  Parallel Context-Free Languages , 1974, Inf. Control..

[21]  Piero Mussio,et al.  Modeling visual interactive systems through dynamic visual languages , 2002, IEEE Trans. Syst. Man Cybern. Part A.

[22]  Giancarlo Mauri,et al.  On the Power of Pictorial Languages , 2000, Int. J. Pattern Recognit. Artif. Intell..

[23]  S. Lane.  Categories for the Working Mathematician , 1971 .