skip to main content
article
Free access

Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography

Published: 01 June 1981 Publication History

Abstract

A new paradigm, Random Sample Consensus (RANSAC), for fitting a model to experimental data is introduced. RANSAC is capable of interpreting/smoothing data containing a significant percentage of gross errors, and is thus ideally suited for applications in automated image analysis where interpretation is based on the data provided by error-prone feature detectors. A major portion of this paper describes the application of RANSAC to the Location Determination Problem (LDP): Given an image depicting a set of landmarks with known locations, determine that point in space from which the image was obtained. In response to a RANSAC requirement, new results are derived on the minimum number of landmarks needed to obtain a solution, and algorithms are presented for computing these minimum-landmark solutions in closed form. These results provide the basis for an automatic system that can solve the LDP under difficult viewing

References

[1]
Bolles, R.C., Quam, L.H., Fischler, M.A., and Wolf, H.C. The SRI road expert: Image to database correspondence. In Proc. Image Understanding Workshop, Pittsburgh, Pennsylvania, Nov., 1978,
[2]
Chrystal, G. Textbook of Algebra (Vol 1). Chelsea, New York, New York 1964, p. 415.
[3]
Church, E. Revised geometry of the aerial photograph. Bull. Aerial Photogrammetry. 15, 1945, Syracuse University.
[4]
Conte, S.D. Elementary Numerical Analysis. McGraw Hill, New York, 1965.
[5]
Dehn, E. Algebraic Equations. Dover, New York, 1960.
[6]
Duda, R.O., and Hart, P.E. Pattern Classification and Scene Analysis. Wiley-Interscience, New York, 1973.
[7]
Gennery, D.B. Least-squares stereo-camera calibration. Stanford Artificial Intelligence Project Internal Memo, Stanford, CA 1975.
[8]
Keller, M. and Tewinkel, G.C. Space resection in photogrammetry. ESSA Tech. Rept C&GS 32, 1966, U.S. Coast and Geodetic Survey.
[9]
Rogers, D.P. and Adams, J.A. Mathematical Elements for Computer Graphics. McGraw Hill, New York, 1976.
[10]
Sorensen, H.W. Least-squares estimation: from Gauss to Kalman. IEEE Spectrum (July 1970), 63-68.
[11]
Wolf, P.R. Elements of Photogrammetry. McGraw Hill, New York, 1974.
[12]
Wylie, C.R. Jr. Introduction to Projective Geometry. McGraw- Hill, New York, 1970.

Cited By

View all

Index Terms

  1. Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography

      Recommendations

      Comments

      Information & Contributors

      Information

      Published In

      cover image Communications of the ACM
      Communications of the ACM  Volume 24, Issue 6
      June 1981
      59 pages
      ISSN:0001-0782
      EISSN:1557-7317
      DOI:10.1145/358669
      Issue’s Table of Contents
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 01 June 1981
      Published in CACM Volume 24, Issue 6

      Permissions

      Request permissions for this article.

      Check for updates

      Author Tags

      1. automated cartography
      2. camera calibration
      3. image matching
      4. location determination
      5. model fitting
      6. scene analysis

      Qualifiers

      • Article

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • Downloads (Last 12 months)8,203
      • Downloads (Last 6 weeks)919
      Reflects downloads up to 22 Dec 2024

      Other Metrics

      Citations

      Cited By

      View all

      View Options

      View options

      PDF

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader

      Login options

      Full Access

      Media

      Figures

      Other

      Tables

      Share

      Share

      Share this Publication link

      Share on social media