Abstract
We consider selected geometric properties of 2D or 3D sets, given in form of binary digital pictures, and discuss their estimation. The properties examined are perimeter and area in 2D, and surface area and volume in 3D. We evaluate common estimators in stereology and digital geometry according to their multiprobe or multigrid convergence properties, and precision and efficiency of estimations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Coeurjolly, D., Klette, R.: A comparative evaluation of length estimators. In: Proc. ICPR, vol. IV, pp. 330–334 (2002)
Debled-Rennesson, I., Reveillès, J.: A linear algorithm for segmentation of digital curves. Int. J. Pattern Recognition and Artificial Intelligence 9, 635–662 (1995)
Howard, C.V., Reed, M.G.: Unbiased Stereology: Three-Dimensional Measurement in Microscopy. BIOS Scientific Publishers, Oxford (1998)
Klette, R., Kovalevsky, V., Yip, B.: On the length estimation of digital curves. In: Vision Geometry VIII, Proc. of SPIE, July 1999, pp. 117–128 (1999)
Klette, R., Rosenfeld, A.: Digital Geometry: Geometric Methods for Digital Picture Analysis. Morgan Kaufmann, San Francisco (2004)
Kovalevsky, V.A.: New definition and fast recognition of digital straight segments and arcs. In: Proc. 10th Intl. Conf. on Pattern Recognition, pp. 31–34 (1990)
Lindblad, J.: Surface area estimation of digitized planes using weighted local configurations. In: Nyström, I., Sanniti di Baja, G., Svensson, S. (eds.) DGCI 2003. LNCS, vol. 2886, pp. 348–357. Springer, Heidelberg (2003)
Mouton, P.R.: Principles and Practices of Unbiased Stereology: An Introduction for Bioscientists. The Johns Hopkins University Press, Baltimore (2002)
Russ, J.C., Dehoff, R.T.: Practical Stereology, 2nd edn. Plenum, New York (2000)
Sladoje, N., Nyström, I., Saha, P.K.: Measuring perimeter and area in low resolution images using a fuzzy approach. In: Bigun, J., Gustavsson, T. (eds.) SCIA 2003. LNCS, vol. 2749, pp. 853–860. Springer, Heidelberg (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Huang, Y., Klette, R. (2004). A Comparison of Property Estimators in Stereology and Digital Geometry. In: Klette, R., Žunić, J. (eds) Combinatorial Image Analysis. IWCIA 2004. Lecture Notes in Computer Science, vol 3322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30503-3_30
Download citation
DOI: https://doi.org/10.1007/978-3-540-30503-3_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23942-0
Online ISBN: 978-3-540-30503-3
eBook Packages: Computer ScienceComputer Science (R0)