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A Maximum Set of (26,6)-Connected Digital Surfaces

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Combinatorial Image Analysis (IWCIA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3322))

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Abstract

In the class \(\mathcal{H}\) of (26,6)–connected homogeneous digital spaces on R 3 we find a digital space E U with the largest set of digital surfaces in that class. That is, if a digital objet S is a digital surface in any space \(E \epsilon \mathcal{H}\) then S is a digital surface in E U too.

This work has been partially supported by the projects BFM2001-3195-C03-01 and BFM2001-3195-C03-02 (MCYT Spain).

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References

  1. Ayala, R., Domínguez, E., Francés, A.R., Quintero, A.: Digital Lighting Functions. LNCS, vol. 1347, pp. 139–150 (1997)

    Google Scholar 

  2. Ayala, R., Domínguez, E., Francés, A.R., Quintero, A.: A Digital Index Theorem. Int. J. Patter Recog. Art. Intell. 15(7), 1–22 (2001)

    Google Scholar 

  3. Ayala, R., Domínguez, E., Francés, A.R., Quintero, A.: Weak Lighting Functions and Strong 26-surfaces. Theoretical Computer Science 283, 29–66 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  4. Bertrand, G., Malgouyres, R.: Some Topological Properties of Surfaces in ℤ3. Jour. of Mathematical Imaging and Vision. 11, 207–221 (1999)

    Google Scholar 

  5. Ciria, J.C., Domínguez, E., Francés, A.R.: Separation Theorems for Simplicity 26-surfaces. LNCS, vol. 2301, pp. 45–56 (2002)

    Google Scholar 

  6. Couprie, M., Bertrand, G.: Simplicity Surfaces: a new definition of surfaces in ℤ3. SPIE Vision Geometry V. 3454, 40–51 (1998)

    Google Scholar 

  7. Kong, T.Y., Roscoe, A.W.: Continuous Analogs of Axiomatized Digital Surfaces. Comput. Vision Graph. Image Process. 29, 60–86 (1985)

    Article  Google Scholar 

  8. Malandain, G., Bertrand, G., Ayache, N.: Topological Segmentation of Discrete Surfaces. Int. Jour. of Computer Vision 10(2), 183–197 (1993)

    Article  Google Scholar 

  9. Maunder, C.R.F.: Algebraic Topology. Cambridge University Press, Cambridge (1980)

    MATH  Google Scholar 

  10. Morgenthaler, D.G., Rosenfeld, A.: Surfaces in three–dimensional Digital Images. Inform. Control. 51, 227–247 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  11. Rourke, C.P., Sanderson, B.J.: Introduction to Piecewise-Linear Topology. In: Ergebnisse der Math., vol. 69. Springer, Heidelberg (1972)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Dpt. de Informática e Ingeniería de Sistemas, Facultad de Ciencias, Universidad de Zaragoza, E-50009, Zaragoza, Spain

    J. C. Ciria, A. De Miguel, E. Domínguez & A. R. Francés

  2. Dpt. de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Apto. 1160, E-41080, Sevilla, Spain

    A. Quintero

Authors
  1. J. C. Ciria
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  2. A. De Miguel
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  3. E. Domínguez
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  4. A. R. Francés
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  5. A. Quintero
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Editor information

Editors and Affiliations

  1. Department of Computer Science, The University of Auckland, New Zealand

    Reinhard Klette

  2. Computer Science, Exeter University, Harrison Building, EX4 4QF, Exeter, U.K.

    Joviša Žunić

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© 2004 Springer-Verlag Berlin Heidelberg

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Ciria, J.C., De Miguel, A., Domínguez, E., Francés, A.R., Quintero, A. (2004). A Maximum Set of (26,6)-Connected Digital Surfaces. In: Klette, R., Žunić, J. (eds) Combinatorial Image Analysis. IWCIA 2004. Lecture Notes in Computer Science, vol 3322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30503-3_22

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  • DOI: https://doi.org/10.1007/978-3-540-30503-3_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23942-0

  • Online ISBN: 978-3-540-30503-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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