. Ht-b, Puisque s > 0 Ht(m)(x, y)] /s > [Ht b (?)(x b , y b ) ? Ht(m)(x b , y b )] /s. Enfin, par linéarité de t? 2 et Tt, Ht((? ? m)/s)(x, y) > Ht b ((? ? m)/s)(x b , y b ), et B(?) ? B((? ? m)/s). Par un raisonnement analogue , on obtient B((? ? m)/s) ? B(?), donc B(?) = B((? ? m)/s)

A. Basset, J. Boulanger, P. Bouthemy, C. Kervrann, and J. Salamero, SLT-LoG: A vesicle segmentation method with automatic scale selection and local thresholding applied to TIRF microscopy, 2014 IEEE 11th International Symposium on Biomedical Imaging (ISBI), 2014.
DOI : 10.1109/ISBI.2014.6867926

URL : https://hal.archives-ouvertes.fr/hal-00921793

A. Basset, P. Bouthemy, J. Boulanger, J. Salamero, and C. Kervrann, Detection and classification of dynamic subcellular events in TIRF microscopy sequences. ISBI'14, 2014.

J. Boulanger, C. Kervrann, P. Bouthemy, P. Elbau, J. Sibarita et al., Patch-based non-local functional for denoising fluorescence microscopy image sequences

D. Bright and E. Steel, Two-dimensional top hat filter for extracting spots and spheres from digital images, Journal of Microscopy, vol.2, issue.2, pp.191-200, 1987.
DOI : 10.1111/j.1365-2818.1987.tb01340.x

R. Deriche, Fast algorithms for low-level vision

T. Lindeberg, Scale-space theory in computer vision. Engineering and computer science, Robotics: Vision, manipulation and sensors, 1993.

E. Meijering, O. Dzyubachyk, and I. Smal, Methods for Cell and Particle Tracking, 2012.
DOI : 10.1016/B978-0-12-391857-4.00009-4

J. Olivo-marin, Extraction of spots in biological images using multiscale products, Pattern Recognition, vol.35, issue.9, pp.1989-1996, 2002.
DOI : 10.1016/S0031-3203(01)00127-3

S. Rezatofighi, R. Hartley, and W. Hughes, A new approach for spot detection in total internal reflection fluorescence microscopy, 2012 9th IEEE International Symposium on Biomedical Imaging (ISBI), 2012.
DOI : 10.1109/ISBI.2012.6235684

D. Sage, F. Neumann, F. Hediger, S. Gasser, and M. Unser, Automatic tracking of individual fluorescence particles: application to the study of chromosome dynamics, IEEE Transactions on Image Processing, vol.14, issue.9, pp.1372-1383, 2005.
DOI : 10.1109/TIP.2005.852787

L. Scharf, Statistical Signal Processing: Detection, Estimation , and Time Series Analysis, 1990.

I. Smal, M. Loog, W. Niessen, and E. Meijering, Quantitative Comparison of Spot Detection Methods in Fluorescence Microscopy, IEEE Transactions on Medical Imaging, vol.29, issue.2, pp.282-301, 2010.
DOI : 10.1109/TMI.2009.2025127

P. Soille, Morphological image analysis: Principles and applications, 2003.

B. Ter-haar-romeny, Front-end vision and multi-scale image analysis. Computational Imaging and Vision, 2003.

L. Vincent, Morphological grayscale reconstruction in image analysis: applications and efficient algorithms, IEEE Transactions on Image Processing, vol.2, issue.2, pp.176-201, 1993.
DOI : 10.1109/83.217222

I. Young, L. Van, and . Vliet, Recursive implementation of the Gaussian filter. Signal Process, pp.139-151, 1995.

B. Zhang, M. Fadili, J. Starck, and J. Olivo-marin, Multiscale Variance-Stabilizing Transform for Mixed-Poisson-Gaussian Processes and its Applications in Bioimaging, 2007 IEEE International Conference on Image Processing, p.7, 2007.
DOI : 10.1109/ICIP.2007.4379564