Abstract
The hidden Markov Random Field (MRF) model for motion detection in image sequences is described. A typical MRF model uses two observations: the difference in brightness between two consecutive images, and the value obtained from the mask of temporal changes. The performance of this model can be improved by including the third observation: the brightness at a given pixel. The paper gives the necessary equations and presents an example of motion detection of the object with uniform brightness.
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Abbreviations
- fk(i,j):
-
brightness value at pixel (i,j) of the k-th image
- ok(i,j):
-
brightness difference o k (i,j)=f k+1 (i,j)âf k (i,j)
- Ćk(i,j):
-
value at pixel (i, j) of the mask of temporal changes between k-th and (k+1)-th image
- C={1, 0}:
-
set of values which can be assigned to a particular pixel (i,j) by the mask of temporal changes
- ek(i,j):
-
label assigned to pixel (i,j) of the k-th image by the mask of moving objects
- L={a, b}:
-
set of labels which can be assigned to a particular pixel by the mask of the moving object, Superscript T denotes the transposition of a vector.
References
Besag, J.: On the statistical analysis of dirty pictures. Journ. Royal Statist. Soc. 48 series B (1986) 259â302
Bouthemy, P., Lalande, P.: Detection and tracking of moving objects based on a statistical regularization method in space and time. Proc. European Conf. Comp. Vision, Antibes (1990) 307â311
Geman, S., Geman, D.: Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. Pattern Anal. Mach. Int. 6 (1984) 721â741
Lalande, P., Bouthemy, P.: A statistical approach to the detection and tracking of moving objects in an image sequence. Proc. 5th ESPC EUSIPCO 90, Barcelona (1990)
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© 1995 Springer-Verlag Berlin Heidelberg
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KuriaĆski, A., Nieniewski, M. (1995). Hidden MRF detection of motion of objects with uniform brightness. In: Braccini, C., DeFloriani, L., Vernazza, G. (eds) Image Analysis and Processing. ICIAP 1995. Lecture Notes in Computer Science, vol 974. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60298-4_328
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DOI: https://doi.org/10.1007/3-540-60298-4_328
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