.. Least, 148 A.2.1 z-distance minimization: c = c 0 = cste, 149 A.2.2 Minimization on the sphere of parameters: ||µ|| 2 1 . . . . . . . . . 152

H. Akaike, A new look at the statistical model identification, IEEE Transactions on Automatic Control, vol.19, issue.6, pp.716-723, 1974.
DOI : 10.1109/TAC.1974.1100705

B. Ameri and D. Fritsch, Automatic 3d building reconstruction using plane-roof structures, 2000.

X. Bai and G. Sapiro, Geodesic Matting: A Framework for Fast Interactive Image and??Video Segmentation and Matting, IEEE International Conference on Computer Vision, 2007.
DOI : 10.1007/s11263-008-0191-z

C. Baillard and A. Zisserman, Automatic reconstruction of piecewise planar models from multiple views, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149), p.565, 1999.
DOI : 10.1109/CVPR.1999.784966

J. Beck and K. Arnold, Parameter estimation in engineering and science. Wiley series in probability and mathematical statistics, 1977.

D. A. Belsey, E. Kuh, and R. E. Welsch, Regression Diagnostics: Identifying Influential Data and Sources of Collinearity, 2005.

P. J. Besl and R. C. Jain, Segmentation through variable-order surface fitting, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.10, issue.2, pp.167-192, 1988.
DOI : 10.1109/34.3881

F. Bignone, O. Henricsson, P. Fua, and M. Stricker, Automatic extraction of generic house roofs from high resolution aerial imagery, European Conference on Computer Vision, pp.83-96, 1996.
DOI : 10.1007/BFb0015525

G. Blanchet, A. Buades, B. Coll, J. Morel, R. et al., Fattening Free Block Matching, Journal of Mathematical Imaging and Vision, vol.28, issue.4, pp.1-13, 2011.
DOI : 10.1007/s10851-011-0268-0

G. Borgefors, Distance transformations in digital images, Computer Vision, Graphics, and Image Processing, vol.34, issue.3, pp.344-371, 1986.
DOI : 10.1016/S0734-189X(86)80047-0

P. Boulanger and G. Godin, <title>Multiresolution segmentation of range images based on Bayesian decision theory</title>, Intelligent Robots and Computer Vision XI: Algorithms, Techniques, and Active Vision, pp.338-350, 1992.
DOI : 10.1117/12.131542

Y. Boykov, O. Veksler, and R. Zabih, A variable window approach to early vision, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.20, issue.12, pp.1283-1294, 1998.
DOI : 10.1109/34.735802

M. Brédif, D. Boldo, M. P. Deseilligny, and H. Ma??trema??tre, 3d building model fitting using a new kinetic framework, 2008.

N. Burrus, T. M. Bernard, J. , and J. , Image segmentation by a contrario simulation, Pattern Recognition, vol.42, issue.7, pp.1520-1532, 2009.
DOI : 10.1016/j.patcog.2009.01.003

URL : https://hal.archives-ouvertes.fr/hal-00847910

F. Cao, J. Delon, A. Desolneux, P. Musé, and F. Sur, A Unified Framework for Detecting Groups and Application to Shape Recognition, Journal of Mathematical Imaging and Vision, vol.4, issue.4, pp.91-119, 2007.
DOI : 10.1007/s10851-006-9176-0

URL : https://hal.archives-ouvertes.fr/inria-00000360

A. Chauve, P. Labatut, and J. Pons, Robust piecewise-planar 3D reconstruction and completion from large-scale unstructured point data, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2010.
DOI : 10.1109/CVPR.2010.5539824

URL : https://hal.archives-ouvertes.fr/hal-00654408

T. Darrell, A radial cumulative similarity transform for robust image correspondence, Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231), 1998.
DOI : 10.1109/CVPR.1998.698674

J. Delon, Fine comparaison of images and other problems, 2004.

J. Delon and B. Rougé, Small Baseline Stereovision, Journal of Mathematical Imaging and Vision, vol.26, issue.3, pp.209-223, 2007.
DOI : 10.1007/s10851-007-0001-1

A. Dempster, N. Laird, R. , and D. , Maximum-likelyhood from incomplete data via the em algorithm, Journal of the Royal Statistical Society Series B, vol.39, 1977.

A. Desolneux, L. Moisan, and J. Morel, From Gestalt theory to image analysis, Interdisciplinary Applied Mathematics, vol.34, 2008.
DOI : 10.1007/978-0-387-74378-3

URL : https://hal.archives-ouvertes.fr/hal-00259077

A. Desolneux, L. Moisan, and J. Morel, From Gestalt Theory to Image Analysis: A Probabilistic Approach, 2008.
DOI : 10.1007/978-0-387-74378-3

URL : https://hal.archives-ouvertes.fr/hal-00259077

A. R. Dick, P. H. Torr, and R. Cipolla, Modelling and Interpretation of Architecture from Several Images, International Journal of Computer Vision, vol.60, issue.2, pp.111-134, 2004.
DOI : 10.1023/B:VISI.0000029665.07652.61

J. Digne, Géométrie Inverse: du nuage de points brutàbrutà la surface 3D. Théorie et Algorithmes, 2010.

J. Digne, J. Morel, N. Audfray, and C. Mehdi-souzani, The level set tree on meshes, Proceedings of the Fifth International Symposium on. 3D Data Processing ,Visualization and Transmission, 2010.

J. Durou, Shape from shading, eclairages, réflexions et perspectives, 2007.

J. Durou and F. Courteille, Integration of a normal field without boundary condition, Proceedings of the First International Workshop on Photometric Analysis For Vision (PACV), 2007.
URL : https://hal.archives-ouvertes.fr/inria-00264852

M. Durupt and F. Taillandier, Reconstruction automatique de bâtimentsbâtimentsà partir d'un mne et de limites cadastrales: une approche opérationnelle, 2006.

G. Facciolo and V. Caselles, Geodesic neighborhoods for piecewise affine interpolation of sparse data, 2009 16th IEEE International Conference on Image Processing (ICIP), 2009.
DOI : 10.1109/ICIP.2009.5414205

O. Faugeras and Q. Luong, The Geometry of Multiple Images: The Laws That Govern The Formation of Imags of A Scene and Some of Their Applications, 2001.

S. Filin and N. Pfeifer, Segmentation of airborne laser scanning data using a slope adaptive neighborhood, ISPRS Journal of Photogrammetry and Remote Sensing, vol.60, issue.2, pp.71-80, 2006.
DOI : 10.1016/j.isprsjprs.2005.10.005

M. A. Fischler and R. C. Bolles, Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography, Communications of the ACM, vol.24, issue.6, pp.381-395, 1981.
DOI : 10.1145/358669.358692

A. W. Fitzgibbon, D. W. Eggert, and R. B. Fisher, High-level cad model acquisition from range images, Computer-Aided Design, vol.29, issue.4, pp.321-330, 1997.
DOI : 10.1016/S0010-4485(96)00059-0

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.8995

D. Flamanc and G. Maillet, Evaluation of 3d city model production from pleaides hr satellite images and 2d ground maps, pp.46-51, 2005.

P. Flynn, CAD-based computer vision: modelling and recognition strategies, 1990.

G. Forlani, C. Nardinocchi, M. Scaioni, and P. Zingaretti, Building reconstruction and visualization from lidar data. The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, p.34, 2004.

F. Fraundorfer, K. Schindler, and H. Bischof, Piecewise planar scene reconstruction from sparse correspondences, Image and Vision Computing, vol.24, issue.4, pp.395-406, 2006.
DOI : 10.1016/j.imavis.2006.01.007

P. J. Green, Reversible jump Markov chain Monte Carlo computation and Bayesian model determination, Biometrika, vol.82, issue.4, pp.711-732, 1995.
DOI : 10.1093/biomet/82.4.711

W. E. Grimson and D. P. Huttenlocher, On the verification of hypothetized matches in model-based recognition, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, 1991.

R. Grompone-von-gioi, J. Jakubowicz, J. Morel, R. , and G. , Lsd: A fast line segment detector with a false detection control, 2008.

A. Gruen and X. Wang, CC-Modeler: a topology generator for 3-D city models, ISPRS Journal of Photogrammetry and Remote Sensing, vol.53, issue.5, pp.286-295, 1998.
DOI : 10.1016/S0924-2716(98)00011-2

F. Han, Z. Tu, and S. Zhu, Range image segmentation by an effective jumpdiffusion method, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, pp.1138-1153, 2004.

J. Han, R. Volz, and T. N. Mudge, Range image segmentation and surface parameter extraction for 3d object recognition of industrial parts, Proceedings of International Conference on Computer Vision, pp.380-386, 1987.

R. Haralick, Edge and region analysis for digital image data, Computer Graphics Image Processing, 1980.

R. M. Haralick and L. G. Shapiro, Computer and Robot Vision, 1993.

R. Hartley and A. Zisserman, Multiple View Geometry, 2000.

H. Hirschmüller, P. R. Innocent, and J. Garibaldi, Real-time correlation-based stereo vision with reduced border errors, International Journal of Computer Vision, vol.47, pp.1-3229, 2002.

W. Hoeffding, Probability Inequalities for Sums of Bounded Random Variables, Journal of the American Statistical Association, vol.1, issue.301, pp.13-30, 1963.
DOI : 10.1214/aoms/1177730491

A. Hoover, G. Jean-baptiste, X. Jiang, F. , and P. , An experimental comparison of range image segmentation algorithms, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.18, issue.7, pp.673-689, 1996.
DOI : 10.1109/34.506791

S. L. Horowidth and T. Pavlidis, Picture segmentation by a direct split and merge procedure, Proceedings of the 2nd IJCPR, pp.424-433, 1974.

P. Hough, Machine analysis of bubble chamber pictures, International Conference on High Energy Accelerators and Instrumentation, pp.554-556, 1959.

L. Igual, J. Preciozzi, L. Garrido, A. Almansa, V. Caselles et al., Automatic low baseline stereo in urban areas, Inverse Problems and Imaging, vol.1, issue.2, pp.319-348, 2007.

X. Y. Jiang and H. Bunke, Fast segmentation of range images into planar regions by scan line grouping, Machine Vision and Applications, pp.115-222, 1994.
DOI : 10.1007/BF01215806

M. Kada, 3d building generalization based on half-space modeling. International Archives of Photogrammetry, Remote Sensing and Spatial Information Sciences, pp.58-64, 2006.

Y. Kanazawa and H. Kawakami, Detection of Planar Regions with Uncalibrated Stereo using Distributions of Feature Points, Procedings of the British Machine Vision Conference 2004, pp.247-256, 2004.
DOI : 10.5244/C.18.27

M. Kass, A. Witkin, T. , and D. , Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-331, 1988.
DOI : 10.1007/BF00133570

R. Kimmel and A. M. Bruckstein, Regularized laplacian zero crossings as optimal edge integrators, International Journal of Computer Vision, vol.53, issue.3, pp.225-243, 2003.
DOI : 10.1023/A:1023030907417

G. Koepfler, C. Lopez, and J. Morel, A Multiscale Algorithm for Image Segmentation by Variational Method, SIAM Journal on Numerical Analysis, vol.31, issue.1, pp.282-299, 1994.
DOI : 10.1137/0731015

P. Labatut, J. Pons, and R. Keriven, Hierarchical shape-based surface reconstruction for dense multi-view stereo, 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops, 2009.
DOI : 10.1109/ICCVW.2009.5457421

URL : https://hal.archives-ouvertes.fr/hal-00834926

F. Lafarge, X. Descombes, J. Zerubia, and P. M. Deseilligny, Building reconstruction from a single DEM, 2008 IEEE Conference on Computer Vision and Pattern Recognition, 2008.
DOI : 10.1109/CVPR.2008.4587778

URL : https://hal.archives-ouvertes.fr/hal-00781733

F. Lafarge, X. Descombes, J. Zerubia, and M. Pierrot-deseilligny, Automatic building extraction from DEMs using an object approach and application to the 3D-city modeling, ISPRS Journal of Photogrammetry and Remote Sensing, vol.63, issue.3, pp.365-381, 2008.
DOI : 10.1016/j.isprsjprs.2007.09.003

URL : https://hal.archives-ouvertes.fr/hal-00781689

J. Lavest, M. Viala, and M. Dhome, Do we really need an accurate calibration pattern to achieve a reliable camera calibration?, Proceedings of the 5th European Conference on Computer Vision, pp.158-174, 1998.
DOI : 10.1007/BFb0055665

C. Lin and R. Nevatia, Building Detection and Description from a Single Intensity Image, Computer Vision and Image Understanding, vol.72, issue.2, pp.101-121, 1998.
DOI : 10.1006/cviu.1998.0724

C. Loop and Z. Zhang, Computing rectifying homographies for stereo vision, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149), p.1125, 1999.
DOI : 10.1109/CVPR.1999.786928

J. Lotti and G. Giraudon, Correlation algorithm with adaptative window for aerial image in stereovision. Image and Signal Processing for Remote Sensing, p.2315, 1994.

M. I. Lourakis and A. A. Argyros, SBA, ACM Transactions on Mathematical Software, vol.36, issue.1, p.96, 2009.
DOI : 10.1145/1486525.1486527

D. G. Lowe, Perceptual organization and visual recognition, 1985.
DOI : 10.1007/978-1-4613-2551-2

J. Matas, O. Chum, M. Urban, and T. Pajdla, Robust wide baseline stereo from maximally stable extremal regions, Image and Vision Computing, issue.10, pp.22761-767, 2004.
DOI : 10.5244/c.16.36

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.671.8241

L. Moisan and B. Stival, A Probabilistic Criterion to Detect Rigid Point Matches Between Two Images and Estimate the Fundamental Matrix, International Journal of Computer Vision, vol.57, issue.3, pp.201-218, 2004.
DOI : 10.1023/B:VISI.0000013094.38752.54

URL : https://hal.archives-ouvertes.fr/hal-00171323

D. Mumford and J. Shah, Boundary detection by minimizing functionals, Proceedings of International Conference on Acoustic, Speech and Signal Processing, pp.22-26, 1985.

P. Musé, F. Sur, F. Cao, Y. Gousseau, and J. Morel, An A Contrario Decision Method for Shape Element Recognition, International Journal of Computer Vision, vol.21, issue.11, pp.69295-315, 2006.
DOI : 10.1007/s11263-006-7546-0

R. Nevatia and K. Price, Automatic and interactive modeling of buildings in urban environments from aerial images, Proceedings. International Conference on Image Processing, pp.525-528, 2002.
DOI : 10.1109/ICIP.2002.1039023

M. Okutomi and T. Kanade, A multiple-baseline stereo, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.15, issue.4, 1993.

M. Ortner, X. Descombes, and J. Zerubia, Building Outline Extraction from Digital Elevation Models Using Marked Point Processes, International Journal of Computer Vision, vol.24, issue.5, pp.107-132, 2007.
DOI : 10.1007/s11263-005-5033-7

B. Parvin and G. Medioni, Segmentation of range images into planar surfaces by split and merge, Proceedings of Computer Vision and Pattern Recognition, pp.415-417, 1986.

M. Peternell and T. Steiner, Reconstruction of piecewise planar objects from point clouds, Computer-Aided Design, vol.36, issue.4, pp.333-342, 2004.
DOI : 10.1016/S0010-4485(03)00102-7

M. Pierrot-deseilligny and N. Paparoditis, A multiresolution and optimization-based image matching approach: an application to surface reconstruction from spot-5hrs stereo imagery, International Society for Photogrammetry and Remote Sensing, p.36, 2006.

J. Poppinga, N. Vaskevicus, A. Birk, and K. Pathak, Fast plane detection and polygonalization in noisy 3D range images, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2008.
DOI : 10.1109/IROS.2008.4650729

C. Poullis and S. You, Automatic reconstruction of cities from remote sensor data, 2009 IEEE Conference on Computer Vision and Pattern Recognition, 2009.
DOI : 10.1109/CVPR.2009.5206562

E. Prados, Application of the theory of the viscosity solutions to the Shape From Shading problem, 2004.
URL : https://hal.archives-ouvertes.fr/tel-00007916

K. Prazdny, Detection of binocular disparities. Reading in computer vision: issues, problems, principles, paradigms, pp.73-79, 1987.

S. Pu and G. Vosselman, Automatic extraction of building features from terrestrial laser scanning. International Archives of Photogrammetry and Remote Sensing and Spatial Information Sciences, pp.320-325, 2006.

J. Rabin, J. Delon, Y. Gousseau, and L. Moisan, Mac-ransac: a robust algorithm for the recognition of multiple objects, p.10, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00466487

W. J. Rey, Introduction to robust and quasi robust statistical methods, 1983.
DOI : 10.1007/978-3-642-69389-2

L. Robert and O. Faugeras, Curve-based stereo: figural continuity and curvature, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 1991.
DOI : 10.1109/CVPR.1991.139661

P. J. Rousseeuw and A. M. Leroy, Robust regression and outlier detection, 1987.
DOI : 10.1002/0471725382

S. Roy and I. Cox, A maximum-flow formulation of the N-camera stereo correspondence problem, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271), pp.492-499, 1998.
DOI : 10.1109/ICCV.1998.710763

N. Sabater, Reliability and accuracy in stereovision. Application to aerial and satellitel high-resolution images, 2009.
URL : https://hal.archives-ouvertes.fr/tel-00505143

D. Scharstein and R. Szeliski, A taxonomy and evaluation of dense two-frame stereo correspondence algorithms, Proceedings IEEE Workshop on Stereo and Multi-Baseline Vision (SMBV 2001), pp.7-42, 2002.
DOI : 10.1109/SMBV.2001.988771

C. Schmid and A. Zisserman, The geometry and matching of line and curves over multiple views, International Journal of Computer Vision, vol.40, issue.3, pp.199-234, 2000.
DOI : 10.1023/A:1008135310502

R. Schnabel, P. Degener, and R. Klein, Completion and Reconstruction with Primitive Shapes, Computer Graphics Forum, vol.21, issue.3, 2007.
DOI : 10.1111/j.1467-8659.2009.01389.x

R. Schnabel, R. Wahl, and R. Klein, Efficient RANSAC for Point-Cloud Shape Detection, Computer Graphics Forum, vol.57, issue.2, 2007.
DOI : 10.1016/S0010-4485(96)00054-1

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.73.5943

G. Schwarz, Estimating the Dimension of a Model, The Annals of Statistics, vol.6, issue.2, pp.461-464, 1978.
DOI : 10.1214/aos/1176344136

A. K. Sen and M. Srivastava, Regression analysis: theory, methods and applications, 1990.

S. Sinha, D. Steedly, and R. Szeliski, Piecewise planar stereo for image-based rendering, 2009 IEEE 12th International Conference on Computer Vision, p.27, 2008.
DOI : 10.1109/ICCV.2009.5459417

C. V. Stewart, MINPRAN: a new robust estimator for computer vision, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.17, issue.10, pp.925-938, 1995.
DOI : 10.1109/34.464558

F. Taillandier and R. Deriche, Automatic building reconstruction from aerial images: a bayesian framework. International Archives of Photogrammetry, Remote Sensing and Spatial Information, 2004.

F. Taillandier, L. Guigues, and R. Deriche, A framework for constrained multi-scale range image segmentation, Proceedings of International Conference on Image Processing, 2003.

R. Taylor, M. Savini, and A. Reeves, Fast segmentation of range imagery into planar regions, Computer Vision, Graphics, and Imagery Processing, 1989.
DOI : 10.1016/0734-189X(89)90069-8

R. Toldo and A. Fusiello, Robust Multiple Structures Estimation with J-Linkage, ECCV '08, pp.537-547, 2008.
DOI : 10.1007/978-3-540-88682-2_41

B. Vallet and F. Taillandier, Fitting Constrained 3D Models in Multiple Aerial Images, Procedings of the British Machine Vision Conference 2005, 2005.
DOI : 10.5244/C.19.29

O. Veksler, Stereo correspondence with compact windows via minimum ratio cycle, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.24, issue.12, pp.1654-1660, 2002.
DOI : 10.1109/TPAMI.2002.1114859

O. Veksler, Fast variable window for stereo correspondence using integral images, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings., pp.556-561, 2003.
DOI : 10.1109/CVPR.2003.1211403

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.8384

E. Vincent and R. Andlaganì-ere, Detecting planar homographies in an image pair, ISPA 2001. Proceedings of the 2nd International Symposium on Image and Signal Processing and Analysis. In conjunction with 23rd International Conference on Information Technology Interfaces (IEEE Cat. No.01EX480), pp.182-187, 2001.
DOI : 10.1109/ISPA.2001.938625

G. Vosselman and S. Dijkman, 3d building model reconstruction from point clouds and ground planes. International Archives of Photogrammetry and Remote Sensing, 2001.

H. Vu, R. Keriven, P. Labatut, and J. Pons, Towards high-resolution largescale multi-view stereo, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00834903

T. Werner and A. Zisserman, New techniques for automated architectureal reconstruction from photographs, Proceedings of the 7th Europeean Conference on Computer Vision, pp.541-555, 2002.

R. Xiang and R. Wang, Range image segmentation based on split and merge clustering, Proceedings of the 17th International Conference on Pattern Recognition, pp.614-617, 2004.

Y. Xu, D. Wang, F. Tao, and H. Shum, Stereo radial computation using radial adaptative windows, International Conference on Pattern Recognition, pp.595-598, 2002.

L. Yatziv and G. Sapiro, Fast image and video colorization using chrominance blending, IEEE Transactions on Image Processing, vol.15, issue.5, 2006.
DOI : 10.1109/TIP.2005.864231

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.104.5810

K. Yoon and I. S. Kweon, Adaptive support-weight approach for correspondence search, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.28, issue.4, pp.650-656, 2006.
DOI : 10.1109/TPAMI.2006.70