Skip to main content

Autonomic and Trusted Computing for Ubiquitous Intelligence

  • Conference paper
Ubiquitous Intelligence and Computing (UIC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4611))

Included in the following conference series:


The world of matter was understood clearly only by finding its invariants such as mass and energy. From the invariants, physics has derived theories to govern the whole material world as variants. Cyberworlds are information worlds. Hence, finding the invariants of information worlds is the key to the success. The laws of information worlds as the discipline belong to what we call mathematics. Mathematical invariants are, in most general cases, equivalence relations. The intelligent parts of cognition for conceptualization rely on induction of concepts from cumulative knowledge gathered ubiquitously on the Web from cyberworlds and also physical devices ubiquitously in the real world. Induction and deduction based on traditional logic are found to be too limited in their capability, and they are becoming topological, algebraic topological in particular to compute. Autonomy is achieved by integrating all the cyberworlds by attaching functions based on invariants autonomously, and by deducing rapidly evolving variants from invariants also autonomously, to make the results trusted. Autonomous visual computing based on differential topology, Morse theory in particular, for autonomous digital contents generation is of increasing interest in the ubiquitous information communication community.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others


  1. Kunii, T.L.: Invitation to System Sciences – Poetry, Philosophy and Science in the Computer Age (in Japanese), October 1969. Mathematical Sciences, pp. 54–56. Science Publishing, Tokyo, Japan (1969)

    Google Scholar 

  2. Peirce, C.S.: Existential Graphs, MS 514 with Commentary by Sowa, J.F.,

  3. Kunii, T.L., Harada, M.: SID: A System for Interactive Design. In: Proceedings of National Computer Conference 1980, AFIPS Conference Proceedings, vol. 49, pp. 33–40. AFIPS Press, Arlington, Virginia (1980)

    Google Scholar 

  4. Harada, M., Kunii, T. L.: A Design Process Formalization. In: Proceedings of the IEEE Computer Societys Third International Computer Software and Applications Conference, November 1979, Chicago, pp. 367–373 (1979)

    Google Scholar 

  5. Harada, M., Kunii, T.L., Saito, M.: RGT: The Recursive Graph Theory as a Theoretical Basis of a System Design Tool DESIGN-TOOL- With an Application to Medical Information System Design. In: Proceedings of the International Symposium on Medical Information System, Osaka, Japan, October 1978, pp. 503–507 (1978)

    Google Scholar 

  6. Kunii, T. L., Weyl, S. and Tenenbaum, J.M.: A Relational Data Base Schema for Describing Complex Pictures with Color and Texture. In: Proceedings of the Second International Joint Conference on Pattern Recognition, Lyngby-Copenhagen, August 1974, pp. 310–316 (1974)

    Google Scholar 

  7. Buchmann, A.P., Kunii, T.L.: Evolutionary Drawing Formalization in an Engineering Database Environment. In: Proceedings of the IEEE Computer Society’s Third International Computer Software and Applications Conference, Chicago, November 1979, pp. 732–737 (1979)

    Google Scholar 

  8. Spencer-Brown, G.: Laws of Form, Crown Pub (September 1972) ISBN-10: 0517527766

    Google Scholar 

  9. Sowa, J.F.: Knowledge Representation. In: Logical, Philosophical, and Computational Foundations, 2000, Brooks Cole Publishing Co, Pacific Grove, CA (2000)

    Google Scholar 

  10. Feldbau, J.: Sur la loi de composition entre éléments des groupes dhomotopie, Séminaire Ehresmann. Topologie et géométrie différentielle, tome 2 (1958–960), exp. no 11, p. 017, Doctoral Dissertation (1958–1960),

  11. Morse, M.: The Calculus of Variations in the Large. American Mathematical Society Colloquium Publication 18, New York (1934)

    MATH  Google Scholar 

  12. Shinagawa, Y., Kunii, T.L., Fomenko, A.T., Takahashi, S.: Coding of Object Surfaces Using Atoms. In: L.,, Earnshaw, R.A., Encarnacao, J., Hagen, H., Kaufman, A., Klimenko, S., Nielson, G., Post, F., Thalmann, D. (eds.) Scientific Visualization: Advances and Challenges. Proc. Office of Naval Research Data Visualization Workshop, Darmstadt, Germany, July 6-8, 1993, pp. 309–322. Rosenblum, Academic Press, London (1994)

    Google Scholar 

  13. Kunii, T.L.: Topological Graphics. In: SCCG 2001. Proceedings of Spring Conference on Computer Graphics, Budmerice, Slovakia, April 25-28, 2001, pp. 2–9. IEEE Computer Society Press, Los Alamitos, California, USA (2001)

    Google Scholar 

  14. Guillemin, V., Pollack, A.: Differential Topology (1974)

    Google Scholar 

  15. Reeb, B.v.G.: Sur les points singuliers d’une forme de Pfaff completement integrable ou d’une fonction numérique. Comptes Rendus Acad. Sciences 222, 847–849 (1946)

    MATH  MathSciNet  Google Scholar 

  16. Kergosien, Y.L.: Generic Sign Systems in Medical Imaging. IEEE Computer Graphics and Applications 11(5), 46–65 (1991)

    Article  Google Scholar 

  17. Shinagawa, Y., Kunii, T.L., Kergosien, Y.L.: Surface Coding Based on Morse Theory. IEEE Computer Graphics & Applications 66–78 (1991)

    Google Scholar 

  18. Shinagawa, Y., Kunii, T.L.: Unconstrained Automatic Image Matching Using Multiresolutional Critical-Point Filters. IEEE Trans Pattern Analysis and Machine Intelligence 20(9), 994–1010 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations


Editor information

Jadwiga Indulska Jianhua Ma Laurence T. Yang Theo Ungerer Jiannong Cao

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kunii, T.L. (2007). Autonomic and Trusted Computing for Ubiquitous Intelligence. In: Indulska, J., Ma, J., Yang, L.T., Ungerer, T., Cao, J. (eds) Ubiquitous Intelligence and Computing. UIC 2007. Lecture Notes in Computer Science, vol 4611. Springer, Berlin, Heidelberg.

Download citation

  • DOI:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73548-9

  • Online ISBN: 978-3-540-73549-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics