On the Precision in Estimating the Location of Edges and Corners

Journal of Mathematical Imaging and Vision

Volumn 7, Issue 1, 1997, Pages 7-22

  Rohr, Karl ^a,b  

^a UNIVERSITY OF HAMBURG   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Analytic models; Edge and corner localization; Low level vision; Nonlinear estimation theory; Uncertainty lower bounds

Indexed keywords

COMPUTER SIMULATION; EDGE DETECTION; ERROR DETECTION; ESTIMATION; FEATURE EXTRACTION; IMAGE ANALYSIS; NUMERICAL METHODS; PARAMETER ESTIMATION; PROBABILITY; SPURIOUS SIGNAL NOISE; STATISTICAL METHODS;

ANALYTIC MODEL; DIFFERENTIAL CORNER DETECTORS; EDGE AND CORNER LOCALIZATION; LOCATION UNCERTAINTY; LOW LEVEL VISION; NONLINEAR ESTIMATION THEORY; SYSTEMATIC LOCALIZATION ERRORS; UNCERTAINTY LOWER BOUNDS;

COMPUTER VISION;

EID: 0030730034     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008209906354     Document Type: Article

References (17)

1. H. Asada and M. Brady, "The curvature primal sketch," IEEE Trans. on Pattern Anal. and Machine Intell., Vol. 8, No. 1, pp. 2-14, 1986.
2. W. Förstner, "On the geometric precision of digital correlation," Intern. Arch. of Photogrammetry and Remote Sensing, Helsinki, Vol. 24, No. 3, pp. 176-189, 1982.
3. W. Förstner, "Quality assessment of object location and point transfer using digital image correlation techniques," Intern. Arch. of Photogrammetry and Remote Sensing, Rio de Janero, Vol. 25, No. 3a, pp. 197-219, 1984.
4. R.M. Haralick, "Image understanding research at University of Washington," Proc. Image Understanding Workshop, Washington, DC, April 18-21, 1993, pp. 163-167.
5. R. Kakarala and A.O. Hero, "On achievable accuracy in edge localization," IEEE Trans. on Pattern Anal. and Machine Intell., Vol. 14, No. 7, pp. 777-781, 1992.
6. J.L. Mundy and A. Zissermann (Eds.), Geometric Invariance in Computer Vision, The MIT Press: Cambridge, Massachusetts, 1992.
7. V.S. Nalwa and T.O. Binford, "On detecting edges," IEEE Trans. on Pattern Anal. and Machine Intell., Vol. 8, No. 6, pp. 699-714, 1986.
8. H. Neumann, K. Ottenberg, and H.S. Stiehl, "Accuracy of regularized differential operators for discontinuity localization in 1-D and 2-D intensity functions," Proc. First IEEE Intern. Workshop on Robust Computer Vision, R.M. Haralick and W. Förstner (Eds.), Seattle, WA, USA, Oct. 1-3, 1990, pp. 214-252.
9. M. Okutomi and T. Kanade, "A locally adaptive window for signal matching," Intern. J. of Computer Vision, Vol. 7, No. 2, pp. 143-162, 1992.
10. K. Rohr, "Über die Modellierung und Identifikation charakteristischer Grauwertverläufe in Realweltbildern," 12, DAGM-Symposium Mustererkennung, Sept. 24-26, 1990, Oberkochen-Aalen, Informatik-Fachberichte 254, R.E. Großkopf (Hrsg.), Springer-Verlag: Berlin, Heidelberg, 1990, pp. 217-224.
11. K. Rohr, "Recognizing corners by fitting parametric models," Intern. J. of Computer Vision, Vol. 9, No. 3, pp. 213-230, 1992.
12. K. Rohr, "Lokalisierungseigenschaften direkter Ansätze zur Ermittlung von Grauwertecken," 15, DAGM-Symposium Mustererkennung, Sept. 27-29, 1993, Lübeck, Informatik aktuell, S.J. Pöppl and H. Handels (Hrsg.), Springer-Verlag: Berlin, Heidelberg, 1993, pp. 647-654.
13. K. Rohr, "Localization properties of direct corner detectors," J. of Mathematical Imaging and Vision, Vol. 4, No. 2, pp. 139-150, 1994.
14. T.W. Ryan, R.T. Gray, and B.R. Hunt, "Prediction of correlation errors in stereo-pair images," Optical Engineering, Vol. 19, No. 3, pp. 312-322, 1980.
15. L.L. Scharf, Statistical Signal Processing: Detection, Estimation, and Time Series Analysis, Addison-Wesley: Reading, Massachusetts, 1991.
16. H.L. van Trees, Detection, Estimation, and Modulation Theory, Part I, John Wiley and Sons: New York, London, 1968.
17. F. Ulupinar and G. Medioni, "Refining edges detected by a LoG operator," Computer Vision, Graphics, and Image Processing, Vol. 51, pp. 275-298, 1990.