Surface reconstruction by voronoi filtering Stability and computation of medial axes -a state-of-the-art report, Mathematical Foundations of Scientific Visualization, pp.481-504, 1999. ,
Voronoi-based variational reconstruction of unoriented point sets, Symposium on Geometry processing, pp.39-48, 2007. ,
Defining point-set surfaces. SIG- GRAPH, pp.264-270, 2004. ,
DOI : 10.1145/1015706.1015713
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.220.9805
Efficient and robust topological data analysis on metric spaces, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00831729
Gershgorin's theorem and the zeros of polynomials, The American Mathematical Monthly, 1965. ,
A transformation for extracting new descriptors of shape, Models for the Perception of Speech and Visual Form, pp.362-380, 1967. ,
Fast and Robust Normal Estimation for Point Clouds with Sharp Features, Computer Graphics Forum, vol.39, issue.5, pp.1765-1774, 2012. ,
DOI : 10.1016/j.cad.2007.02.008
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.671.5769
A statistical method for robust 3D surface reconstruction from sparse data, Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004., pp.293-300, 2004. ,
DOI : 10.1109/TDPVT.2004.1335212
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.122.8777
State of the Art in Surface Reconstruction from Point Clouds, EUROGRAPHICS star reports, pp.161-185, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01017700
Normal cone approximation and offset shape isotopy, Computational Geometry, pp.566-581, 2009. ,
DOI : 10.1016/j.comgeo.2008.12.002
URL : https://hal.archives-ouvertes.fr/inria-00124825
Stability of Curvature Measures, Computer Graphics Forum, vol.26, issue.2, pp.1485-1496, 2009. ,
DOI : 10.1090/pspum/054.3/1216630
URL : https://hal.archives-ouvertes.fr/inria-00344903
Boundary Measures for Geometric Inference, Foundations of Computational Mathematics, pp.221-240, 2010. ,
DOI : 10.1090/gsm/058
Geometric inference for probability measures [CG06] Frédéric Cazals and Joachim Giesen. Delaunay triangulation based surface reconstruction : Ideas and algorithms, Foundations of Computational Mathematics Effective computational geometry for curves and surfaces, pp.733-751, 2006. ,
DOI : 10.1007/s10208-011-9098-0
Splat-based Surface Reconstruction from Defect-Laden Point Sets Multigrid convergent principal curvature estimators in digital geometry Multigrid convergence of discrete geometric estimators The rotation of eigenvectors by a perturbation, Graphical ModelsCLL14] David Coeurjolly, Jacques-Olivier Lachaud, and Jérémy Levallois Computer Vision and Image Understanding Digital Geometry Algorithms, number 2 in Lecture Notes in Computational Vision and BiomechanicsCP05] Frédéric Cazals and Marc Pouget. Estimating differential quantities using polynomial fitting of osculating jets Journal of Mathematical Analysis and Applications, pp.346-361, 1963. ,
Curve and Surface Reconstruction : Algorithms with Mathematical Analysis, 2006. ,
Provable surface reconstruction from noisy samples [DGtrg] DGTAL : Digital geometry tools and algorithms library, Symposium on Computational Geometry libdgtal.org. [dVL08] François de Vieilleville and Jacques-Olivier Lachaud. Comparison and improvement of tangent estimators on digital curves. In Pattern Recognition, pp.124-141, 2006. ,
Robust moving least-squares fitting with sharp features, ACM Transactions on Graphics, vol.24, issue.3, pp.544-552, 2005. ,
DOI : 10.1145/1073204.1073227
Curvature measures, Transactions of the American Mathematical Society, vol.93, issue.3, pp.418-491, 1959. ,
DOI : 10.1090/S0002-9947-1959-0110078-1
Normals and Curvature Estimation for Digital Surfaces Based on Convolutions, Discrete Geometry for Computer Imagery, number 4992 in LNCS, pp.287-298 ,
DOI : 10.1007/978-3-540-79126-3_26
URL : https://hal.archives-ouvertes.fr/hal-00333772
Witnessed k-distance, Discrete & Computational Geometry, pp.22-45, 2013. ,
DOI : 10.1145/1998196.1998205
URL : https://hal.archives-ouvertes.fr/hal-00569029
Critical point theory for distance functions, Differential Geometry Proceedings of Symposia in Pure Mathematics, pp.357-385, 1993. ,
DOI : 10.1090/pspum/054.3/1216630
Geometric modelling, pp.139-153, 1993. ,
DOI : 10.1007/978-3-7091-0587-0
Surface reconstruction from unorganized points, ACM SIGGRAPH Computer Graphics, vol.26, issue.2, pp.71-78, 1992. ,
DOI : 10.1145/142920.134011
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.4735
Smooth feature lines on surface meshes, Symposium on geometry processing, pp.85-90, 2005. ,
Principal Component Analysis, 1986. ,
Poisson surface reconstruction, Proceedings of the Fourth Eurographics Symposium on Geometry Processing, SGP '06, p.61, 2006. ,
Curvature estimation along noisy digital contours by approximate global optimization, Pattern Recognition, vol.42, issue.10, pp.2265-2278, 2009. ,
DOI : 10.1016/j.patcog.2008.11.013
URL : https://hal.archives-ouvertes.fr/inria-00345783
Meaningful Scales Detection along Digital Contours for Unsupervised Local Noise Estimation, IEEE Transactions on Pattern Analysis and Machine Intelligence, pp.2379-2392, 2012. ,
DOI : 10.1109/TPAMI.2012.38
URL : https://hal.archives-ouvertes.fr/hal-00780689
Algorithms for computing curvatures from range data, The Mathematics of Surfaces VIII, Information Geometers, pp.1-16, 1998. ,
Provably good moving least squares, ACM Transactions on Algorithms, vol.4, issue.2, pp.1-1825, 2008. ,
DOI : 10.1145/1361192.1361195
Combining PCA and LFA for Surface Reconstruction from a Sparse Set of Control Points, 7th International Conference on Automatic Face and Gesture Recognition (FGR06), pp.637-644, 2006. ,
DOI : 10.1109/FGR.2006.31
Inferring White Matter Geometry from Diffusion Tensor MRI: Application to Connectivity Mapping, Computer Vision-ECCV, pp.127-140 ,
DOI : 10.1007/978-3-540-24673-2_11
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1.1585
Properties of gauss digitized sets and digital surface integration, p.1070289, 2014. ,
DOI : 10.1007/s10851-015-0595-7
URL : https://hal.archives-ouvertes.fr/hal-01070289
Détection de structure géométrique dans les nuages de points, 2009. ,
Estimating surface normals in noisy point cloud data, In International Journal of Computational Geometry & Applications, vol.14, pp.261-276, 2004. ,
Voronoibased curvature and feature estimation from point clouds, IEEE Transactions on Visualization and Computer Graphics, pp.743-756, 2011. ,
Geometric Measure Theory : A Beginner's Guide, 2008. ,
A comparison of Gaussian and mean curvature estimation methods on triangular meshes of range image data, Computer Vision and Image Understanding, pp.139-159, 2007. ,
DOI : 10.1016/j.cviu.2006.09.007
Approximation of the Normal Vector Field and the Area of a Smooth Surface, Discrete & Computational Geometry, pp.383-400, 2004. ,
DOI : 10.1007/s00454-004-1096-4
URL : https://hal.archives-ouvertes.fr/hal-00381530
Finding the Homology of Submanifolds with High Confidence from??Random??Samples, Discrete & Computational Geometry, pp.419-441, 2008. ,
DOI : 10.1007/b97315
Propriétés radiatives des couronnes de Noyers (Juglans nigra x J. regia) et croissance des pousses annuelles -Influence de la géométrie du feuillage, de la position des pousses et de leur climat radiatif, II -Sciences et Techniques du Languedoc, 2006. ,
Estimation of the Derivatives of a Digital Function with a Convergent Bounded Error, Discrete Geometry for Computer Imagery, number 6607 in LNCS, pp.284-295, 2011. ,
DOI : 10.1007/978-3-642-19867-0_24
Multi-scale Feature Extraction on Point-Sampled Surfaces, Computer Graphics Forum, pp.281-289, 2003. ,
DOI : 10.1007/978-1-4757-1904-8
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.2293
Finding the intersection of n halfspaces in time o(n log n), Theoretical Computer Science, pp.45-55, 1979. ,
Integral invariants for robust geometry processing, Computer Aided Geometric Design, vol.26, issue.1, pp.37-60, 2009. ,
DOI : 10.1016/j.cagd.2008.01.002
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.130.1326
Direct computing of surface curvatures for point-set surfaces, Point-based Graphics, IEEE/Eurographics Symposium, pp.29-36, 2007. ,
Accurate Curvature Estimation along Digital Contours with Maximal Digital Circular Arcs, Combinatorial Image Analysis, pp.43-55, 2011. ,
DOI : 10.1006/ciun.1993.1048
URL : https://hal.archives-ouvertes.fr/hal-01354558
Surface parametrization and curvature measurement of arbitrary 3-d objects : five practical methods, IEEE Transactions on Pattern Analysis and Machine Intelligence, pp.833-840, 1943. ,
Estimating the tensor of curvature of a surface from a polyhedral approximation, Proceedings of IEEE International Conference on Computer Vision, 1995. ,
DOI : 10.1109/ICCV.1995.466840
Optimal Transport : Old and New, 2008. ,
DOI : 10.1007/978-3-540-71050-9
On the Volume of Tubes, American Journal of Mathematics, vol.61, issue.2, pp.461-472, 1939. ,
DOI : 10.2307/2371513
Sharp feature detection in point clouds, 2010 Shape Modeling International Conference, pp.175-186, 2010. ,
DOI : 10.1109/SMI.2010.32
URL : https://hal.archives-ouvertes.fr/hal-00568051
Sparse Principal Component Analysis, Journal of Computational and Graphical Statistics, vol.15, issue.2, pp.265-286, 2006. ,
DOI : 10.1198/106186006X113430
Fast surface reconstruction using the level set method, IEEE Workshop on Variational and Level Set Methods in Computer Vision, 2001. Proceedings, pp.194-201, 2001. ,
Implicit, non parametric shape reconstruction from unorganized points using a variational level set method, 1998. ,
DOI : 10.1006/cviu.2000.0875