?. S. Rivollier, J. Debayle, and J. C. Pinoli, General Adaptive Neighborhood-based Minkowski maps for gray-tone image analysis. European Congress of Stereology and Image Analysis, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00509728

?. S. Rivollier, J. Debayle, and J. C. Pinoli, Shape representation and analysis of 2D compact sets by shape diagrams, 2010 2nd International Conference on Image Processing Theory, Tools and Applications, 2010.
DOI : 10.1109/IPTA.2010.5586766

URL : https://hal.archives-ouvertes.fr/hal-00509444

?. S. Rivollier, J. Debayle, and J. C. Pinoli, Représentation intrinsèque multi-échelle des images à tons de gris par Voisinages Adaptatifs Généraux (VAG) Conference of GRETSI, 2007.

?. S. Rivollier, J. Debayle, and J. C. Pinoli, Fonctionnelles et fonctions de Minkowski à Voisinages Adaptatifs Généraux pour l'analyse des images à tons de gris. Conference of GRETSI, 2009.

?. S. Rivollier, J. Debayle, and J. C. Pinoli, A comparative study of shape diagrams for 2D compact sets -Part I : analytic convex sets, Accepted to Journal of Inequalities in Pure and Applied Mathematics. Published in a special issue of Australian Journal of Mathematical Analysis and Applications, vol.7, issue.2-3, pp.1-27, 2010.

?. S. Rivollier, J. Debayle, and J. C. Pinoli, A comparative study of shape diagrams for 2D compact sets -Part II : analytic simply connected sets, Accepted to Journal of Inequalities in Pure and Applied Mathematics. Published in a special issue of Australian Journal of Mathematical Analysis and Applications, vol.7, issue.24, pp.1-21, 2010.

?. S. Rivollier, J. Debayle, and J. C. Pinoli, A comparative study of shape diagrams for 2D compact sets -Part III : convexity discrimination for analytic and discretized simply connected sets, Accepted to Journal of Inequalities in Pure and Applied Mathematics. Published in a special issue of Australian Journal of Mathematical Analysis and Applications, vol.7, issue.25, pp.1-18, 2010.

?. S. Rivollier, J. Debayle, and J. C. Pinoli, Integral geometry and General Adaptive Neighborhoods for multiscale image analysis, International Journal of Signal and Image Processing, vol.1, issue.3, pp.141-150, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00509342

?. S. Rivollier, J. Debayle, and J. C. Pinoli, Cartographies des fonctionnelles de Minkowski adaptatives pour l'analyse des images à tons de gris, Seminar of the International Society for Stereology, 2009.

?. S. Rivollier, J. Debayle, and J. C. Pinoli, General Adaptive Neighborhood-based shape diagrams

?. S. Rivollier, J. Debayle, and J. C. Pinoli, General Adaptive Neighborhood-based filtering

?. J. Pinoli, S. Rivollier, and J. Debayle, General Adaptive Neighborhood-based edge detection

?. S. Rivollier, J. Debayle, and J. C. Pinoli, Image analysis by shape diagrams and General Adaptive Neighborhood -Application to cells shape analysis

.. Fonctions-de-minkowski-locales-utilisant-l-'opérateur-de-seuillage, 117 6.1 Multiplications scalaires GLIP d'une image à niveaux de gris, p.122

.. Bas-usuels, 169 7.16 Fonction utilisée pour la convolution d'un filtrage passe-bas adaptatif, p.170

V. .. Distances-entre-les-histogrammes-des-fonctionnelles-de-minkowski-À, A. Ambrosio, E. Colesanti, . Villaad97-]-s, S. Ayari et al., Outer Minkowski content for some classes of closed sets and applications to stochastic geometry La formule de Cauchy sur la longueur d'une courbe Spatial size distributions : applications to shape and texture analysis, Mathematische Annalen Canadian Mathematical Bulletin IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.168, issue.2312, pp.727-748, 1997.

E. [. Amaral and . Ferreira, Activated sludge monitoring of a wastewater treatment plant using image analysis and partial least squares regression, Analytica Chimica Acta, vol.544, issue.1-2, pp.246-253, 2004.
DOI : 10.1016/j.aca.2004.12.061

M. [. Arns, K. R. Knackstedt, and . Mecke, Characterisation of irregular spatial structures by parallel sets and integral geometric measures, Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol.241, issue.1-3, pp.351-372, 2004.
DOI : 10.1016/j.colsurfa.2004.04.034

T. J. Angulo, Z. A. Nguyen-khoa, T. Massy, J. Drüeke, ]. Serraasa99 et al., MORPHOLOGICAL QUANTIFICATION OF AORTIC CALCIFICATION FROM LOW MAGNIFICATION IMAGES, Image Analysis & Stereology, vol.22, issue.2, pp.81-89209105, 1971.
DOI : 10.5566/ias.v22.p81-89

S. [. Bunte, . H. Abtbb82-]-d, C. M. Ballard, . S. Brown, M. Bertrand et al., Sampling surface and subsurface particle-size distributions in wadable gravel-and cobble-bed streams for analyses in sediment transport, hydraulics, and streambed monitoring. general technical report rmrs-gtr-74 Computer vision A model for digital topology. Discrete Geometry for Computer Imagery Reducing anisotropy of topological operators for grayscale images Optimizing area and perimeter of convex sets for fixed circumradius and inradius Image segmentation through operators based upon topology, Monatshefte für MathematikBes45] A.S. Besicovitch. A general form of the covering principle and relative differentiation of additive functions (I). Proceedings of the Cambridge Philosophical Society, pp.17229-24146, 1945.

]. A. Bes46 and . Besicovitch, A general form of the covering principle and relative differentiation of additive functions (II) Proceedings of the Cambridge Philosophical Society, pp.1-10, 1946.

]. F. Bez01 and . Bezerra, Opérateurs topologiques pour le traitement d'images en niveaux de gris, Theorie des konvexen körper, p.73, 1934.

A. J. Blanchard, P. Gader, A. C. Correa, A. K. Hocaoglubla16, ]. Brodatzi et al., The use of spline based wavelet filtering to improve classification processing of SAR imagery Konvexe Bereiche gegebener konstanter Breite und kleinsten Inhalts Eine frage über konvexe körper Vorlesungen über integralgeometrie Simulating stochastic geometries : morphology of overlapping grains Connectivity in image processing and analysis : theory, multiscale extensions and applications A theoretical tour of connectivity in image processing and analysis A brief account of microscopical observations made in the months of june, july and august, 1827, on the particles contained in the pollen of plants, and on the general existence of active molecules in organic and inorganic bodies, Sur quelques points de la théorie des fonctions. Annales scientifiques de l'École Normale SupérieureBvL92] A.J. Baddeley and M.N.M. van Lieshout. Object recognition using Markov spatial processes . IEEE International Conference on Pattern Recognition, pp.1757-1759504, 1895.

M. [. Boissonnat, V. A. Burago, and . Zalgaller, Algorithmic geometry Geometric inequalities, pp.97-73, 1932.
DOI : 10.1017/cbo9781139172998

]. A. Cau41, . Cauchy-]-m, G. Couprie, and . Bertrand, Notes sur divers théorèmes relatifs à la rectification des courbes, et à la quadrature des surfaces. Comptes-rendus à l'Académie des Sciences de Paris Topological grayscale watershed transformation, SPIE Vision Geometry, vol.13, issue.5 11, pp.1060-1063, 1997.

G. [. Couprie, M. Bertrand, F. N. Couprie, G. Bezerra, M. Bertrand et al., Topology preserving alternating sequential filter for smoothing two-dimensional and three-dimensional objects, The missing boundaries of the Santalo diagrams for the cases (d,w,R) and (w,R,r). Discrete and Computational Geometry, pp.720-732261, 1985.
DOI : 10.1117/1.1789986

URL : https://hal.archives-ouvertes.fr/hal-00692906

Y. [. Cheng and . Huang, A novel approach to diagnose diabetes based on the fractal characteristics of retinal images, IEEE Transactions on Information Technology in Biomedicine, vol.7, issue.3, pp.163-170, 2003.
DOI : 10.1109/TITB.2003.813792

W. Chen, R. Howard, E. Lutwak, D. Yang, G. Zhang et al., A generalized affine isoperimetric inequality Geometric Analysis Is there a planar convex set with given width, diameter, and inradius ? Optimizing the perimeter and the area of convex sets with fixed diameter and circumradius Quantitative shape analysis : a review, American Mathematical Monthly Archiv der Mathematik Mathematical Geology, vol.14, issue.10, pp.597-612, 1741.

]. M. Cro68, . A. Crofton-]-m, G. Cifre, S. S. Salinas, and . Gomis, On the theory of local probability, applied to straight lines drawn at random in a plane Complete systems of inequalities, Inequalities in Pure and Applied Mathematics Measurement of particle shape using digital imaging techniques. Journal of Physics : Conference Series, pp.181-199, 1868.

M. E. Diaz, G. Alaya, R. Sebastian, and L. Martinez-costa, Granulometric analysis of corneal endothelium specular images by using a germ???grain model, Computers in Biology and Medicine, vol.37, issue.3, pp.364-375, 2007.
DOI : 10.1016/j.compbiomed.2006.04.005

M. [. Deza, ]. A. Dezaddm01, N. Doulamis, P. Doulamis, and . Maragos, Dictionary of distances Generalized multiscale connected operators with applications to granulometric image analysis, IEEE International Conference on Image Processing, pp.28684-687, 2001.

S. Drot, X. Descombes, H. L. Men, J. Zerubiadeb05, and ]. J. Debayle, Object point processes for image segmentation Traitement d'image à voisinages adaptatifs généraux, IEEE International Conference on Pattern Recognition, pp.913-916, 2002.

]. P. Del71 and . Delfiner, A generalization of the concept of size, Journal of Microscopy, vol.95, pp.203-216, 1971.

Y. [. Debayle, J. C. Gavet, and . Pinoli, General Adaptive Neighborhood Image Restoration, Enhancement and Segmentation, Image Analysis and Recognition, vol.4141, issue.5 6, pp.29-40, 2006.
DOI : 10.1007/11867586_3

URL : https://hal.archives-ouvertes.fr/hal-00128111

]. E. Did83 and . Diday, Croisements, ordres et ultramétriques, Mathématiques et Sciences Humaines, vol.83, issue.55, pp.31-54, 1983.

E. [. Dougherty, J. B. Kraus, and . Pelz, Image segmentation by local morphological granulometries. Geoscience and Remote Sensing Symposium Differential geometry of curves and surfaces [Dok00] P. Dokladal. Grey-scale image segmentation : a topological approach, pp.1220-1223, 1976.

]. J. Dp05a, J. C. Debayle, and . Pinoli, Adaptive-neighborhood mathematical morphology and its applications to image filtering and segmentation. European Congress of Stereology and Image Analysis, pp.123-130, 2005.

]. J. Dp05b, J. C. Debayle, ]. J. Pinolidp05c, J. C. Debayle, ]. J. Pinolidp06a et al., Multiscale image filtering and segmentation by means of adaptive neighborhood mathematical morphology Spatially adaptive morphological image filtering using intrinsic structuring elements General adaptive neighborhood image processing. Part I : Introduction and theoretical aspects, IEEE International Conference on Image Processing, pp.537-540, 2005.

]. J. Dp06b, J. C. Debayle, ]. J. Pinolidp09a, J. C. Debayle, ]. J. Pinolidp09b et al., General adaptive neighborhood Choquet image filtering General Adaptive Neighborhood Mathematical Morphology Mathematical Survey Lectures 1943-2004, chapter The Euler characteristic -a few highlights in its long history Measure, topology, and fractal geometry A proof of Blaschke's theorem on the Reuleaux triangle Topologies for the digital spaces Z 2 and Z 3 Geometric measure theory, General adaptive neighborhood image processing. Part II : Practical application examples. Journal of Mathematical Imaging and Vision IEEE International Conference on Image ProcessingFav33] J. Favard. La longueur et l'aire d'après Minkowski. Société Mathématique de France, pp.267-284, 1930.

]. P. Fra03 and . Francus, Image analysis, sediments and paleoenvironmental reconstructions, chapter Image measurements Image analysis for the biological sciences, Kluwer academic publishers, p.17, 1923.

. Gkm-+-07-]-r, S. Guderlei, J. Klenk, V. Mayer, E. Schmidt et al., Algorithms for the computation of the Minkowski functionals of deterministic and random polyconvex sets, Image and Vision Computing, vol.25, pp.464-474, 2007.

M. [. Grossert, B. Koppen, and . Nickolay, A new approach to fuzzy morphology based on fuzzy integral and its application in image processing, IEEE International Conference on Pattern Recognition, pp.625-630, 1996.

J. [. Gavet, Y. Pinoligp09, J. C. Gavet, . B. Pinoligra71-]-s, . C. Graygw08-]-r et al., VISUAL PERCEPTION BASED AUTOMATIC RECOGNITION OF CELL MOSAICS IN HUMAN CORNEAL ENDOTHELIUMMICROSCOPY IMAGES, Image Analysis & Stereology, vol.27, issue.1, pp.53-61, 1957.
DOI : 10.5566/ias.v27.p53-61

]. P. Hal74 and . Halmos, Measure theory, Hau18] F. Hausdorff. Dimension und äusseres Mass. Mathematische Annalen, pp.157-179, 1918.

H. , R. Heilbronner, N. W. Keulenhs02-]-p, P. R. Hillock, . L. Scott-]-c et al., Grain size and grain shape analysis of fault rocks Inequalities for lattice constrained planar convex sets Improving the accuracy of isotropic granulometries Logarithmic image processing A Model For Logarithmic Image Processing Contrast definition and contour detection for logarithmic images, Separation of different textures in images using fuzzy measures and fuzzy functions and their fusion by fuzzy integrals. European Symposium on Intelligent Techniques Inequalities in Pure and Applied Mathematics Digital topology : introduction and survey. Comp. Vision, Graphics and Image Proc, pp.34-36199, 1987.

A. [. Klette, ]. Rosenfeldkt98, J. Kosir, J. Tasic, Z. Li et al., Digital geometry : Geometric methods for digital picture analysis Pattern spectrum of binary image Image retrieval based on Sugeno fuzzy integral A Bayesian geometric model for line network extraction from satellite images 14 [Leb01] H. Lebesgue. Sur une généralisation de l'intégrale définie. Comptes Rendus de l'Académie de Sciences Geometric shape recognition and classification, IEEE International Conference on Image and Graphics IEEE International Conference on Acoustics, Speech, and Signal ProcessingLim90] J.S. Lim. Two-dimensional signal and image processing, pp.95974-977, 1901.

]. J. Lis47 and . Listing, Vorstudien zur topologie, 1847

K. [. Legland, M. F. Kiêu, and . Devaux, COMPUTATION OF MINKOWSKI MEASURES ON 2D AND 3D BINARY IMAGES, IEEE International Conference on Information, Communications and Signal Processing, pp.83-92975, 1997.
DOI : 10.5566/ias.v26.p83-92

J. [. Lang, R. Ohser, and . Hilfer, On the analysis of spatial binary images, Journal of Microscopy, vol.203, issue.3, pp.303-313, 1906.
DOI : 10.1046/j.1365-2818.2001.00899.x

]. P. Mar87 and . Maragos, Pattern spectrum of images and morphological shape-size complexity, IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.241-244, 1987.

]. P. Mar89, ]. Maragosmat67, and . Matheron, Pattern spectrum and multiscale shape representation Eléments pour une théorie des milieux poreux Random sets and integral geometry, IEEE Transactions on Pattern Analysis and Machine Intelligence Beucher. Morphological segmentation. Journal of Visual Communication and Image Representation, vol.11, issue.11, pp.701-716, 1967.

]. K. Mec98 and . Mecke, Integral geometry in statistical physics, Modern Physics, vol.12, issue.9, pp.861-899, 1998.

]. H. Min03 and . Minkowski, Volumen und Oberfläche, Mathematische Annalen, vol.57, issue.15, pp.447-495, 1903.

]. F. Mor88 and . Morgan, Geometric measure theory -A beginner's guide Integral-geometry morphological image analysis, Physics Reports, vol.347, pp.27461-538, 1988.

D. [. Mecke and . Stoyan, Statistical physics and spatial statistics, p.14, 2000.
DOI : 10.1007/3-540-45043-2

D. [. Mecke and . Stoyan, Morphological Characterization of Point Patterns, Naj94] L. Najman, pp.473-488, 1994.
DOI : 10.1002/bimj.200310137

J. [. Nagel, K. Ohser, . M. Pischangnr05-]-t, R. M. Nguyen, and . Rangayyan, An integral-geometric approach for the Euler- Poincaré characteristic of spatial images Shape analysis of breast masses in mammograms via the fractal dimension, IEEE Engineering in Medicine and Biology, pp.33-3210, 1999.

F. [. Ohser and . Mücklich, Statistical analysis of microstructures in materials science

J. Wiley, ]. J. Sons, W. Ohser, K. Nagel, and . Schladitz, The Euler number of discretised sets -on the choice of adjacency in homogeneous lattices, pp.33-35, 2000.

W. [. Ohser, K. Nagel, and . Schladitz, THE EULER NUMBER OF DISCRETISED SETS ??? SURPRISING RESULTS IN THREE DIMENSIONS, Image Analysis & Stereology, vol.22, issue.1, pp.11-19, 1967.
DOI : 10.5566/ias.v22.p11-19

K. [. Ohser and . Schladitz, Image processing and analysis, p.33, 2006.

R. [. Oppenheim, T. G. Schafer, and . Stockham, Nonlinear filtering of multiplied and convolved signals, IEEE Proceedings, pp.1264-12911182, 1968.

V. [. Patrascu, C. Buzuloiu, . M. Vertan, E. Nachtegael, and . Kerre, Fuzzy filters for image processing, volume 122 of Studies in fuzziness and soft computing, chapter Fuzzy image enhancement in the framework of logarithmic model, pp.219-237, 2003.

J. [. Pinoli and . Debayle, Logarithmic Adaptive Neighborhood Image Processing (LA- NIP) : introduction, connections to human brightness perception and application issues, EURASIP Journal on Advances in Signal Processing, vol.5, issue.6, 2007.
DOI : 10.1155/2007/36105

URL : http://doi.org/10.1155/2007/36105

]. J. Pin87 and . Pinoli, Contribution à la modélisation, au traitement et à l'analyse d'image, p.120, 1987.

]. J. Pin97a and . Pinoli, A general comparative study of the multiplicative homomorphic, log-ratio and logarithmic image processing approaches, Signal Processing, vol.58, issue.10, pp.11-45, 1997.

]. J. Pin97b and . Pinoli, The Logarithmic Image Processing model : connections with human brightness perception and contrast estimators, Journal of Mathematical Imaging and Vision, vol.7, pp.341-358, 1997.

]. H. Poi96, . K. Poincarépra78-]-w, ]. S. Prattrdp07, J. Rivollier, J. C. Debayle et al., Calcul des probabilités Digital image processing Ramanujan's collected works Représentation intrinsèque multi-échelle des images à tons de gris par Voisinages Adaptatifs Généraux (VAG) Conference of GRETSI Cartographies des fonctionnelles de Minkowski adaptatives pour l'analyse des images à tons de gris Fonctionnelles et fonctions de Minkowski à Voisinages Adaptatifs Généraux pour l'analyse des images à tons de gris Conference of GRETSI General Adaptive Neighborhood-based Minkowski maps for gray-tone image analysis A comparative study of shape diagrams for 2D compact sets -Part I : analytic convex sets, Seminar of the International Society for Stereology European Congress of Stereology and Image Analysis, vol.149, issue.87, pp.94-52, 1896.

]. S. Rdp10b, J. Rivollier, J. C. Debayle, ]. S. Pinolirdp10c, J. Rivollier et al., A comparative study of shape diagrams for 2D compact sets -Part II : analytic simply connected sets Accepted to A comparative study of shape diagrams for 2D compact sets -Part III : convexity discrimination for analytic and discretized simply connected sets Integral geometry and General Adaptive Neighborhoods for multiscale image analysis, RDP10e] S. Rivollier, J. Debayle, and J.C. Pinoli. Shape representation and analysis of 2D compact sets by shape diagrams. International Conference on Image Processing Theory, Tools and Applications, pp.1-21, 0108.

]. Reu63, C. A. Rivollier, and . Rogers, Analyse spectrale morphologique adaptative d'images. Master's thesis, Ecole Nationale Supérieure des Mines de Saint-Etienne Analyse d'image par géométrie intégrale à voisinages adaptatifs généraux. Master's thesis, Ecole Nationale Supérieure des Mines de Saint-Etienne Hausdorff measures Picture processing by computer, vii [Ros70] A. Rosenfeld. Connectivity in digital pictures, pp.1875-1876, 1969.

]. A. Ros75 and . Rosenfeld, A converse to the Jordan curve theorem for digital curves, Information and Control American Mathematical Monthly, vol.29, issue.868, pp.292-293, 1975.

. N. Rpg-+-01-]-b, M. Raby, C. Polette, C. Gilles, K. Clavel et al., Quantitative cell dispersion analysis : new test to measure tumor cell aggressiveness Quantitative shape measurements of distal volcanic ash Physical significance of image measurements Dimensionality in image analysis Inequalities for convex sets, Inequalities in Pure and Applied Mathematics, pp.644-652, 1992.

]. L. San61, L. A. Santalo, and . Santalo, Sobre los sistemas completos de desigualdades entre tres elementos de una figura plana Integral geometry and geometric probability, Math. Notae, vol.17, issue.12, pp.82-104, 1961.

G. Sapiro, Geometric partial differential equations and image analysis, p.13, 2001.
DOI : 10.1017/CBO9780511626319

M. [. Salerno, ]. S. Banzato, D. S. Sastry, P. G. Corti, F. H. Debenedetti et al., Minkowski measures for image analysis in scanning probe microscopy Statistical geometry of particle packings. I. Algorithm for exact determination of connectivity, volume, and surface areas of void space in monodisperseand polydisperse sphere packings Description and reconstruction of microscopic random heterogenous media in order to estimate macroscopic hydraulic functions Statistical characterization of technical surface microstructure, Physical Review (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), pp.13-15, 1997.

]. R. Sch07 and . Schneider, Integral geometric tools for stochastic geometry, Lecture Notes in Mathematics, vol.1892, pp.119-184, 2007.

]. P. Sco79, ]. D. Scottsctk98, J. Sharvit, H. Chan, B. B. Tek et al., A family of inequalities for convex sets Symmetry-based indexing of image databases . Visual Communication and Image Representation Statistics of the morphological pattern-spectrum moments for a random-grain model Statistical geometry of particle packings. IIWeak spots" in liquids, Ser69] J. Serra. Introduction à la Morphologie Mathématique. Cahiers du Centre de Morphologie Mathématique, pp.237-245, 1969.

]. J. Ser82 and . Serra, Image analysis and mathematical morphology, p.15, 1982.

]. J. Ser88 and . Serra, Image analysis and mathematical morphology, p.15, 1988.

]. G. Sev, . Sevinksg97-]-k, J. Sivakumar, and . Goutsias, Mathematical description of nanostructures with Minkowski functionals Discrete morphological size distributions and densities : estimation techniques and applications, Electronic Imaging, vol.12, issue.61, pp.31-53, 1997.

. H. Sgc, P. D. Shi, W. Gader, and . Chen, Fuzzy integral filters : properties and parallel implementation

]. S. She42, ]. A. Shermansie03, ]. Siegel, W. S. Stoyan, J. Kendall et al., A comparison of linear measures in the plane An isoperimetric theorem in plane geometry Stochastic geometry and its applications, Duke Mathematical Journal Discrete and Computational Geometry, vol.9, issue.47SKM87, pp.1-9, 1942.

M. [. Saint-marc, . Richetin-]-k, J. Sandfort, ]. Oshsersoi03, J. Schladitz et al., Labeling of n-dimensional images with choosable adjacency of the pixels Morphological image analysis : principles and applications Measuring intrinsic volumes in digital 3D images Pictures as elements in a vector space, IEEE Computer Society Conference on Computer Vision and Pattern Recognition Shvaytser and S. Peleg. Inversion of picture operators [Spi79] M. Spivak. (A Comprehensive Introduction to) Differential Geometry. Publish or PerishSte54] H. Steinhaus. Length, shape, and area. Colloquium Mathematicum Theory of fuzzy integrals and its applications, pp.411-427, 1954.

G. Thibault, C. Devic, B. Fertil, J. L. Mari, and J. Sequeira, Indices de formes : de la 2D vers la 3D -Application au classement de noyaux de cellules, p.17, 2007.

R. [. Trettel and . Dealencar-lotufo, The size-intensity diagram : a gray-scale granulometric analysis tool, Simposio Brasileiro de Computacao Grafica e Processamento de Imagens, pp.259-264, 1996.

G. [. Teknomo, K. Gerilla, ]. Hokaotk90, J. M. Thahani, and . Keller, Cellular urban descriptors of lowland urban model Information fusion in computer vision using the fuzzy integral, Proceedings of International Symposium of Lowland Technology Tizhoosh and B. Michaelis. Image enhancement based on fuzzy aggregation techniques . IEEE Instrumentation and Measurement Technology Conference, pp.297-302733, 1990.

P. [. Tzafestas and . Maragos, Shape connectivity : multiscale analysis and application to generalized granulometries, Journal of Mathematical Imaging and Vision, vol.17, issue.2, pp.109-129, 2002.
DOI : 10.1023/A:1020629402912

H. [. Tang, . R. Wangurw07-]-e, J. B. Urbach, M. H. Roerdink, . Wilkinsonvd94-]-l et al., Cartographie de la pollution atmosphérique en milieu urbain à l'aide de données multisources Connected shape-size pattern spectra for rotation and scale-invariant classification of gray-scale images Morphological segmentation for textures and particles Shape matching : similarity measures and algorithms, Digital Image Processing Methods IEEE International Conference on Shape Modeling and Applications Villarino. A note on the accuracy of Ramanujan's approximative formula for the perimeter of an ellipse. Inequalities in Pure and Applied MathematicsVil09] E. Villa. Specific area anf mean surface density of inhomogeneous Boolean models. Stereology and Image Analysis, pp.3245-3248, 1994.

]. L. Vin96, C. Vincent, A. Vertan, C. Oprea, L. Florea et al., Local grayscale granulometries based on opening trees Advanced concepts for intelligent vision systems, volume 5259 of Computer science, chapter A pseudo-logarithmic image processing framework for edge detection, International Symposium on Mathematical Morphology, pp.273-280, 1996.

K. [. Wharton, S. Panetta, and . Agaian, Notes on closed convex sets, Digital electronic arithmetics with applications. IEEE International Conference on System of Systems Engineering, pp.1-5, 1932.

V. [. Yaglom and . Boltanskii, Convex figures. Translated by

O. [. Zhu, F. Basir, and . Karray, Fuzzy integral based region merging for watershed image segmentation, IEEE International Conference on Fuzzy Systems, pp.27-30, 2001.

P. [. Zunic and . Rosin, A new convexity measure for polygons, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, issue.7, pp.923-934, 2004.
DOI : 10.1109/TPAMI.2004.19