Skip to main content

Improvements to Remote Sensing Using Fuzzy Classification, Graphs and Accuracy Statistics

  • Chapter
  • First Online:
Earth Sciences and Mathematics

Part of the book series: Pageoph Topical Volumes ((PTV))

  • 504 Accesses

Abstract

This paper puts together some techniques that have been previously developed by the authors, but separately, relative to fuzzy classification within a remote sensing setting. Considering that each image can be represented as a graph that defines proximity between pixels, certain distances between the characteristic of contiguous pixels are defined on such a graph, so a segmentation of the image into homogeneous regions can be produced by means of a particular algorithm. Such a segmentation can be then introduced as information, previously to any classification procedure, with an expected significative improvement. In particular, we consider specific measures in order to quantify such an improvement. This approach is being illustrated with its application into a particular land surface problem.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

  • Amo, A., Gómez, D., Montero, J., and Biging, G. (2001), Relevance and redundancy in fuzzy classification systems, Mathware and Soft Computing 8, 203–216.

    Google Scholar 

  • Amo, A., Montero, J., Biging, G., and Cutello, V. (2004), Fuzzy classification systemsEurop. J. Operat. Res. 156, 459–507.

    Google Scholar 

  • Bezdek, J.C., Pattern Recognition with Fuzzy Objective Function Algorithms (Plenum Press, New York 1981).

    Google Scholar 

  • Bezdek, J.C., and Harris, J.D. (1978), Fuzzy partitions and relations: An axiomatic basis for clustering, Fuzzy Sets and System 1, 111–127.

    Article  Google Scholar 

  • Binaghi, E., Brivio, P.A., Ghezzi, P., and Rampini, A. (1999), A fuzzy set based accuracy assessment of soft classification, Pattern Recognition Lett. 20, 935–939.

    Article  Google Scholar 

  • Congalton, R.G., and Biging, G. (1992), A pilot study evaluating ground reference data collection efforts for use in forestry inventory, Photogrammetric Engin. Remote Sensing 58, 1669–1671.

    Google Scholar 

  • Congalton, R.G., and Green, K. Assessing the Accuracy of Remote Sensed Data, Principles and Practices (Lewis Publishers, London 1999).

    Google Scholar 

  • Driese, K.L., Reiners, W.A., Lovett, G.M., and Simkin, S.M. (2004), A vegetation map for the Catskill Park, NY, derived from multi-temporal Landsat imagery and GIS data, Northeastern Naturalist 11, 421–442.

    Article  Google Scholar 

  • Dubois, D., and Prade, H., Fuzzy sets and Systems, Theory and Applications (Academic Press, New York 1980).

    Google Scholar 

  • Dubois, D., and Prade, H. (1983), Ranking fuzzy numbers in the setting of possibility theory, Information Sci. 30, 183–224.

    Article  Google Scholar 

  • Facchinetti, G., and Ricci, R.G. (2004), A characterization of a general class of ranking functions on triangular fuzzy numbers, Fuzzy Sets and Systems 146, 297–312.

    Article  Google Scholar 

  • Foody, G.M. (1999), The continuum of classification fuzziness in thematics mapping, Photogrammetric Engin. Remote Sensing 65, 443–451.

    Google Scholar 

  • González-pachón, J., Gómez, D., Montero, J., and Yánez, J. (2003a), Soft dimension theory, Fuzzy Set and Systems 137, 137–149.

    Article  Google Scholar 

  • González-pachón, J., Gómez, D., Montero, J., and Yánez, J. (2003b), Searching for the dimension of binary valued preference relations, Internat. J. Approx. Reasoning 33, 133–157.

    Article  Google Scholar 

  • Gómez, D., Montero, J., Yánez, J., and Poidomani, C. (2007), A graph coloring algorithm approach for image segmentation, Omega 35, 173–183.

    Article  Google Scholar 

  • Gómez, D., Montero, J., and Yánez, J. (2006), A coloring algorithm for image classification, Infor. Sci. 176, 3645–3657.

    Article  Google Scholar 

  • Gómez, D., Montero, J., and López, V., The role of fuzziness in decision making, In Fuzzy Logic: A Spectrum of Applied and Theoretical Issues (eds. Ruan, D. et al.) (Springer 2008a) pp. 337–349.

    Google Scholar 

  • Gómez, D., Biging, G., and Montero, J. (2008b), Accuracy statistics for judging soft classification, Internat. J. Remote Sensing, 29, 693–709. DOI: 10.1080/01431160701311325.

    Article  Google Scholar 

  • Kabva, O., and Seikkala, S. (1994), On fuzzy metric spaces, Fuzzy Sets and Systems 12, 215–229.

    Google Scholar 

  • Kerre, E.E., and Nachtegael, M. Fuzzy Techniques in Image Processing (Physica-Verlag, Heidelberg 2000).

    Google Scholar 

  • Laba, M., Gregory, S.K., Braden, J., Ogurcak, D., Hill, E., Fegraus, E., Fiore, J., and Degloria, S.D. (2002), Conventional and fuzzy accuracy assessment of the New York Gap Analysis Project land cover map, Remote sensing of Environ. 81, 443–455.

    Article  Google Scholar 

  • Matsakis, P., Andrèfouët, S., and Capolsini, P. (2000), Evaluation of fuzzy partitions, Remote Sensing of Environ. 74, 516–533.

    Article  Google Scholar 

  • Montero, J., Classifiers and decision makers. In Applied Computational Intelligence (eds. Ruan D. et al.) (World Scientific, Singapore 2004) pp. 19–24.

    Google Scholar 

  • Montero, J., Gömez, D., and Bustince, H. (2007), On the relevance of some families of fuzzy sets, Fuzzy Sets and Systems. 158, 2429–2442.

    Article  Google Scholar 

  • Pal, S.K., Gosh, A., and Kundu, M.K., Soft Computing for Image Processing (Physica-Verlag, Heidelberg 2000).

    Google Scholar 

  • Petry, F.E., Robinson, V.B., and Cobb, M.A., Fuzzy Modeling with Spatial Information for Geographic Problems (Springer, Berlin. 2005).

    Book  Google Scholar 

  • Ruspini, E.H. (1969), A new approach to clustering, Inform. and Control 15, 22–32.

    Article  Google Scholar 

  • Saaty, T.L., Fundamentals of Decision Making with the Analytic Hierarchy Process (RWS Publications, Pittsburgh (1994), revised in 2000).

    Google Scholar 

  • Sedano, F., Gómez, D., Gong, P., and Biging, G. (2008), Tree density estimation in a tropical woodland ecosystem with multiangular MISR and MODIS data, Remote Sensig Eviron., 112, 2523–2537.

    Article  Google Scholar 

  • Woodcock, C.E., and Gopal, S. (2000), Fuzzy set theory and thematics maps, accuracy assessment and area estimation, Internat. J. Geograph. Inform Sci. 14, 153–172.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Birkhäuser Verlag, Basel

About this chapter

Cite this chapter

Gómez, D., Montero, J., Biging, G. (2008). Improvements to Remote Sensing Using Fuzzy Classification, Graphs and Accuracy Statistics. In: Camacho, A.G., Díaz, J.I., Fernändez, J. (eds) Earth Sciences and Mathematics. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9964-1_6

Download citation

Publish with us

Policies and ethics