A time-optimal algorithm for the estimation of contact distribution functions of random sets

Image Analysis and Stereology

Volumn 23, Issue 3, 2004, Pages 177-183

  Mayer, Johannes ^a  

^a UNIVERSITY OF ULM   (Germany)

Author keywords

Algorithm; Contact distribution; Distance distribution; Estimation; Estimator; Minus sampling

Indexed keywords

EID: 33846799563     PISSN: 15803139     EISSN: 18545165     Source Type: Journal    
DOI: 10.5566/ias.v23.p177-183     Document Type: Article

References (17)

1. Bhattacharya A (2003). Measurement of Contact Distribution Functions on 2d Binary Images Using Image Processing Techniques. Diploma Thesis, University of Kaiserslautern.
2. Breu H, Gil J, Kirkpatrick D, Werman M (1995). Linear Time Euclidean Distance Algorithms. IEEE Trans Pattern Anal 17:529-33.
3. Danielsson PE (1980). Euclidean Distance Mapping. Comput Vision Graph 14:227-48.
4. Lang C, Ohser J, Hilfer R (2001). On the Analysis of Spatial Binary Images. J Microsc 202:1-12.
5. Mattfeldt T, Schmidt V, Reepschlager D, Rose C, Frey H (1996). Centered Contact Density Functions for the Statistical Analysis of Random Sets. J Microsc 183:158-69.
6. Mecke K (1998). Integral Geometry and Statistical Physics. Int J Mod Phys B 12:861-99.
7. Mecke K, Buchert T, Wagner H (1994). Robust Morphological Measures for Large-Scale Structure in the Universe. Astron Astrophys 288:697-704.
8. Ohser J, Mücklich F (2000). Statistical Analysis of Microstructures in Materials Science. Chichester: John Wiley & Sons.
9. Ohser J, Steinbach B, Lang C (1998). Efficient Texture Analysis of Binary Images. J Microsc 188:20-8.
10. Ragnemalm I (1993). The Euclidean Distance Transform. Ph.D. Thesis, University of Linköping.
11. Rosenfeld A, Pfaltz J (1966). Sequential Operations in Digital Picture Processing. J ACM 13:471-94.
12. Rosenfeld A, Pfaltz J (1968). Distance Functions in Digital Pictures, Patt Recogn 1:33-61.
13. Serra J (1982). Image Analysis and Mathematical Morphology. London: Academic Press.
14. Soille P (1991). Spatial Distributions from Contour Lines: An Efficient Methodology Based on Distance Transformations. J Vis Commun Image R 2:138-50.
15. Stoyan D, Kendall WS, Mecke J (1995). Stochastic Geometry and its Applications. Chichester: John Wiley & Sons.
16. Stoyan D, Stoyan H, Tscheschel A, Mattfeldt T (2001). On the Estimation of Distance Distribution Functions for Point Processes and Random Sets. Image Anal Stereol 20:65-9.
17. Vincent L (1991). Exact Euclidean Distance Function by Chain Propagations. Proc IEEE Comput Vision Patt R 520-5.