Skip to main content
  • 134 Accesses

Abstract

When we talk about Computer Vision (CV), we imagine a system able to see — to look and to understand— the surrounding world. In terms of human knowledge, understanding is a matter of codifying information and identifying well-established patterns. This assertion —that holds for every sensor-based system, the human one being the most complex— has full sense when applied to vision and each part of the assertion can be clearly identified.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Badler N. and Bajcsy R. (1978): “Three-Dimensional Representations for Computer Graphics and Computer Vision”, Computer Graphics 12, pp.153–160.

    Google Scholar 

  • Barr A.H. (1981): “Superquadrics and Angle-Preserving Transformations”, IEEE Computer Graphics and Applications, January.

    Google Scholar 

  • Baumgart B.G. (1974): “Geometric Modeling for Computer Vision”, Technical Report, Dept. Computer Science, Stanford University, October.

    Google Scholar 

  • Brooks R.A. (1981): “Symbolic Reasoning Among 3-D Models and 2-D Images”, Artificial Intelligence, Vol. 17, pp. 285–348.

    Article  Google Scholar 

  • Clark J.H. (1976): “Hierarchical Geometric Models for Visible Surface Algorithms”, Communications ACM 19, pp. 547–554.

    Article  MATH  Google Scholar 

  • Fuchs H., Kedem Z.M. and Uselton S.P. (1977): “Optimal Surface Reconstruction from Planar Contours”, Communications ACM 20, pp. 693–702.

    Article  MathSciNet  MATH  Google Scholar 

  • Hall E.T. (1966): “The Hidden Dimension”, Anchor Books, Doubleday & Company, Inc., Garden City, New York.

    Google Scholar 

  • Kuratowski K. and Motoski A. (1976): “Set Theory”, North-Holland, Amsterdam.

    MATH  Google Scholar 

  • Meagher D. (1982): “Geometric Modeling Using Octree Encoding”, Computer Graphics and Image Processing 19, pp. 129–147.

    Article  Google Scholar 

  • Mulgaonkar P.G., Shapiro L.G. and Haralick R.M. (1982): “Using Rough Relational Models for Geometric Reasoning”, Proc. of the Workshop on Comp. Vision Representation and Control, Rindge, New Hampshire, August 23–25, pp. 116–124.

    Google Scholar 

  • Navazo I. (1986): “Contribució a les Tècniques de Modelat Geomètric d’Objectes Polièdrics Usant la Codificació amb Arbres Octals”, Doctoral Thesis, Dept. Mètodes Informàtics, Univ. Politècnica Catalunya.

    Google Scholar 

  • Nowacki H. (1980): “Curve and Surface Generation and Fairing”, in “Computer Aided Design”, edited by J. Encarnassao, Lect. Notes on Computer Science No. 89, Springer-Verlag, New York.

    Google Scholar 

  • Pentland A.P. (1984): “Fractal-Based Description of Natural Scenes”, SRI Technical Note No. 280, March.

    Google Scholar 

  • Pentland A.P. (1985): “Perceptual Organization and the Representation of Natural Form”, SRI Technical Note No. 357, July.

    Google Scholar 

  • Requicha A.A.G. (1977): “Mathematical Models of Rigid Solid Objects”, Technical Memo 28, Production Automation Project, Univ. Rochester, Rochester, New York, November.

    Google Scholar 

  • Requicha A.A.G. (1980): “Representations for Rigid Solids: Theory, Methods, and Systems”, Computing Surveys, Vol. 12, No. 4, December, pp. 437–464.

    Article  Google Scholar 

  • Requicha A.A.G. and Voelcker H.B. (1982): “Solid Modelling: A Historical Summary and Contemporary Assessment”, IEEE Computer Graphics and Applications, March, pp. 9–24.

    Google Scholar 

  • Requicha A.A.G. and Voelcker H.B. (1985): “Boolean Operations in Solid Modelling: Boundary Evaluation and Merging Algorithms”, Proc. IEEE, Vol. 73, No. 1, January, pp. 30–44.

    Article  Google Scholar 

  • Rogers D.F. and Adams J.A. (1976): “Mathematical Elements For Computer Graphics”, McGraw-Hill, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Juan, J.A. (1992). Geometric Object Models. In: Torras, C. (eds) Computer Vision: Theory and Industrial Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48675-3_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-48675-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-48677-7

  • Online ISBN: 978-3-642-48675-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics