B. Aronov, O. Cheong, X. Goaoc, and G. Rote, Lines pinning lines. Discrete and Computational Geometry, pp.230-26010, 2011.
DOI : 10.1007/s00454-010-9288-6

URL : https://hal.archives-ouvertes.fr/inria-00518028

M. Barnabei, A. Brini, and G. Rota, On the exterior calculus of invariant theory, Journal of Algebra, vol.96, issue.1, pp.120-160, 1985.
DOI : 10.1016/0021-8693(85)90043-2

G. Batog, ´ Evénements visuels de polyèdres, ENS de Cachan, 2008.

G. Batog, From invariants to predicates : example of line transversals to lines, 26th European Workshop on Computational Geometry -EuroCG 2010, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00517885

G. Batog, X. Goaoc, and J. Ponce, Admissible linear map models of linear cameras, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.1578-1585, 2010.
DOI : 10.1109/CVPR.2010.5539784

URL : https://hal.archives-ouvertes.fr/inria-00517899

R. Bkouche, Qu'est-ce qu'une ligne droite ? In Histoire du calcul de la géométriè a l'algèbre, pp.173-186, 2009.

J. Bochnak, M. Coste, and M. Roy, Real Algebraic Geometry, 1998.
DOI : 10.1007/978-3-662-03718-8

C. Borcea, X. Goaoc, S. Lazard, and S. Petitjean, Common Tangents to Spheres in ???3, Discrete & Computational Geometry, vol.35, issue.2, pp.287-300, 2006.
DOI : 10.1007/s00454-005-1230-y

URL : https://hal.archives-ouvertes.fr/inria-00070675

C. Borcea, X. Goaoc, and S. Petitjean, Line Transversals to Disjoint Balls, Discrete & Computational Geometry, vol.26, issue.2, pp.158-173, 2008.
DOI : 10.1016/S0925-7721(02)00169-4

URL : https://hal.archives-ouvertes.fr/inria-00176201

P. Bürgisser, M. Clausen, and M. A. Shokrollahi, Algebraic Complexity Theory, volume 315 of Grundlehren der mathematischen Wissenschaften, 1997.

B. Chazelle, H. Edelsbrunner, L. J. Guibas, M. Sharir, and J. Stolfi, Lines in space: Combinatorics and algorithms, Algorithmica, vol.6, issue.5, pp.428-44710, 1996.
DOI : 10.1007/978-3-642-61568-9

O. Cheong, X. Goaoc, and A. Holmsen, Lower bounds to helly numbers of line transversals to disjoint congruent balls, Israel Journal of Mathematics, vol.4, issue.3, 2010.
DOI : 10.1007/BF02187722

URL : https://hal.archives-ouvertes.fr/inria-00518035

O. Cheong, X. Goaoc, A. Holmsen, and S. Petitjean, Helly-type theorems for line transversals to disjoint unit balls. Discrete and Computational Geometry, pp.194-212, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00103856

J. E. Cremona, Abstract, LMS Journal of Computation and Mathematics, vol.1122, pp.62-9210, 1999.
DOI : 10.1090/S0025-5718-99-01055-8

J. ´. Demouth, Evénements visuels de convexes et limites d'ombres, 2008.

O. Devillers, M. Glisse, and S. Lazard, Predicates for line transversals to lines and line segments in three-dimensional space, Proceedings of the twenty-fourth annual symposium on Computational geometry , SCG '08, pp.174-181, 2008.
DOI : 10.1145/1377676.1377704

URL : https://hal.archives-ouvertes.fr/inria-00336256

A. Dimca, A geometric approach to the classification of pencils of quadrics, Geometriae Dedicata, vol.14, issue.2, pp.105-111, 1983.
DOI : 10.1007/BF00181618

L. Dupont, D. Lazard, S. Lazard, and S. Petitjean, Near-optimal parameterization of the intersection of quadrics: II. A classification of pencils, Journal of Symbolic Computation, vol.43, issue.3, pp.192-215, 2008.
DOI : 10.1016/j.jsc.2007.10.012

URL : https://hal.archives-ouvertes.fr/inria-00071228

A. Eigenwillig, V. Sharma, and C. K. Yap, Almost tight recursion tree bounds for the Descartes method, Proceedings of the 2006 international symposium on Symbolic and algebraic computation , ISSAC '06, pp.71-78, 2006.
DOI : 10.1145/1145768.1145786

H. Everett, S. Lazard, B. Lenhart, and L. Zhang, On the degree of standard geometric predicates for line transversals in 3D, Computational Geometry, vol.42, issue.5, pp.484-494, 2009.
DOI : 10.1016/j.comgeo.2007.11.002

URL : https://hal.archives-ouvertes.fr/inria-00431441

D. Feldman, T. Pajdla, and D. Weinshall, On the epipolar geometry of the Crossed-Slits projection, Proceedings Ninth IEEE International Conference on Computer Vision, pp.988-995188, 1936.
DOI : 10.1109/ICCV.2003.1238456

T. Fisher, The invariants of a genus one curve, Proceedings of the London Mathematical Society, vol.97, issue.3, pp.753-782, 2008.
DOI : 10.1112/plms/pdn021

A. David, J. Forsyth, and . Ponce, Computer Vision : A Modern Approach, 2002.

D. Fuchs and S. Tabachnikov, Mathematical Omnibus : Thirty Lectures on Classic Mathematics, 2007.
DOI : 10.1090/mbk/046

J. Gergonne and . Géométrie-analytique, Recherche du cercle qui en touche trois autres sur un plan, Annales de Gergonne, vol.7, pp.289-303

X. Goaoc, S. König, and S. Petitjean, Pinning a Line by Balls or Ovaloids in ???3, Discrete & Computational Geometry, vol.59, issue.4, pp.303-320, 2011.
DOI : 10.1090/gsm/069

URL : https://hal.archives-ouvertes.fr/inria-00518033

J. E. Goodman and R. Pollack, Geometric Transversal Theory, Encyclopaedia of Mathematics, 2002.
DOI : 10.1007/978-3-642-58043-7_8

R. Goodman and N. R. Wallach, Representations and Invariants of the Classical Groups, 1998.

J. H. Grace and A. Young, The Algebra of Invariants, 1904.
DOI : 10.1017/CBO9780511708534

H. Grassmann, Die lineale Ausdehnungslehre Verlag von Otto Wigand, 1844
DOI : 10.1017/cbo9781139237352

M. D. Grossberg and S. K. Nayar, The Raxel Imaging Model and Ray-Based Calibration, International Journal of Computer Vision, vol.61, issue.2, pp.119-137, 2005.
DOI : 10.1023/B:VISI.0000043754.56350.10

D. Frank, G. Grosshans, J. A. Rota, and . Stein, Invariant Theory and Superalgebras , volume 69 of CBMS Region, Conf. Ser. Math. AMS, 1987.

V. Guillemin and A. Pollack, Differential Topology, 1974.
DOI : 10.1090/chel/370

R. Gupta and R. Hartley, Linear pushbroom cameras, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.19, issue.9, pp.963-975, 1997.
DOI : 10.1109/34.615446

J. Harris, Algebraic Geometry, A First Course. Number 133 in Graduate Texts in Mathematics, 1992.

R. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, 2004.
DOI : 10.1017/CBO9780511811685

M. Henk, J. Richter-gebert, and G. M. Ziegler, Basic Properties of Convex Polytopes, Handbook of Discrete and Computational Geometry, pp.355-382, 2004.
DOI : 10.1201/9781420035315.pt2

D. Hilbert, Les principes fondamentaux de la géométrie. Gauthier-Villars, 1900.
DOI : 10.24033/asens.479

M. W. Hirsch, Differential Topology, 1976.
DOI : 10.1007/978-1-4684-9449-5

W. V. Hodge and D. Pedoe, Methods of Algebraic Geometry, pp.10-1017, 1994.

R. B. Holmes, Smoothness of certain metric projections on Hilbert space. Transactions of the, pp.87-100, 1973.

A. Holmsen, M. Katchalski, and T. Lewis, A Helly-Type Theorem for Line Transversals to Disjoint Unit Balls, Discrete and Computational Geometry, vol.29, issue.4, pp.595-602, 2003.
DOI : 10.1007/s00454-002-0793-0

A. Holmsen and J. Matousek, No Helly Theorem for Stabbing Translates by Lines in R 3, Discrete and Computational Geometry, vol.31, issue.3, pp.405-410, 2004.
DOI : 10.1007/s00454-003-0796-5

C. M. Jessop, A Treatise on the Line Complex, 1969.

E. Kasner, The invariant theory of the inversion group: geometry upon a quadric surface, Transactions of the American Mathematical Society, vol.1, issue.4, pp.430-498, 1900.
DOI : 10.1090/S0002-9947-1900-1500550-1

L. Kettner, K. Mehlhorn, S. Pion, S. Schirra, and C. Yap, Classroom examples of robustness problems in geometric computations, Computational Geometry, vol.40, issue.1, pp.61-78, 2008.
DOI : 10.1016/j.comgeo.2007.06.003

URL : https://hal.archives-ouvertes.fr/inria-00344515

D. Kirkpatrick, B. Mishra, and C. Yap, Quantitative Steinitz's theorems with applications to multifingered grasping, Discrete & Computational Geometry, vol.40, issue.1, pp.295-318, 1992.
DOI : 10.1016/0022-0000(90)90016-E

H. Kraft and C. Procesi, Classical Invariant Theory ? A Primer, 1996.

H. Kraft, P. Slodowy, and T. A. Springer, Algebraic Transformation Groups and Invariant Theory, Birkhäuser, 1989.

S. Lazard, L. Peñaranda, and S. Petitjean, Intersecting quadrics, Proceedings of the twentieth annual symposium on Computational geometry , SCG '04, pp.419-428, 2004.
DOI : 10.1145/997817.997880

URL : https://hal.archives-ouvertes.fr/inria-00104003

C. Li, S. Pion, and C. K. Yap, Recent progress in exact geometric computation, The Journal of Logic and Algebraic Programming, vol.64, issue.1, pp.85-111, 2005.
DOI : 10.1016/j.jlap.2004.07.006

URL : https://hal.archives-ouvertes.fr/inria-00344355

I. G. Macdonald, J. Pach, and T. Theobald, Common Tangents to Four Unit Balls in R 3, Discrete & Computational Geometry, vol.26, issue.1, pp.1-17, 2001.
DOI : 10.1007/s004540010090

K. N. Majindar, Linear combinations of Hermitian and real symmetric matrices. Linear algebra and its applications, pp.95-105, 1979.

X. Markenscoff, L. Ni, and C. H. Papadimitriou, The Geometry of Grasping, The International Journal of Robotics Research, vol.143, issue.4, pp.61-74, 1990.
DOI : 10.1115/1.3267342

M. Mignotte, Mathématiques pour le calcul formel, 1989.

J. Peter and . Olver, Classical Invariant Theory, 1999.

W. F. Osgood, The Symbolic Notation of Aronhold and Clebsch, American Journal of Mathematics, vol.14, issue.3, pp.251-261
DOI : 10.2307/2369668

T. Pajdla, Geometry of two-slit camera, 2002.

T. Pajdla, Stereo with oblique cameras, Proceedings IEEE Workshop on Stereo and Multi-Baseline Vision (SMBV 2001), pp.161-17010, 2002.
DOI : 10.1109/SMBV.2001.988766

. Pbrt, Physically based ray tracing

G. Peano, Calcolo Geometrico secondo l'Ausdehnungslehre di H. Grassmann. Fratelli Bocca, 1888

M. Pellegrini, Ray shooting on triangles in 3-space. Algorithmica, pp.471-49410, 1993.

M. Pellegrini, Ray Shooting and Lines in Space, Handbook of Discrete and Computational Geometry, pp.599-616, 2004.
DOI : 10.1201/9781420035315.ch37

D. Perrin, Cours d'algèbre. Capes, Agreg Mathématiques. Ellipses, 1995.

S. Petitjean, Characterizing the intersection pattern of two conics : a Bezoutianbased approach, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00431724

S. Petitjean, Invariant-Based Characterization of the Relative Position of Two Projective Conics, Nonlinear Computational Geometry The IMA Volumes in Mathematics and its Applications, pp.189-220, 2009.
DOI : 10.1007/978-1-4419-0999-2_8

URL : https://hal.archives-ouvertes.fr/inria-00335968

J. Piontkowski and A. Van-de-ven, The automorphism group of linear sections of the Grassmannians G(1, n), Documenta Mathematica, vol.4, pp.623-664, 1999.

J. Poncelet, Traité des propriétés projectives des figures. Bachelier, libraire, 1822, p.24653

H. Pottmann and J. Wallner, Computational Line Geometry, 2001.
DOI : 10.1007/978-3-642-04018-4

J. H. Rieger, On the classification of views of piecewise smooth objects, Image and Vision Computing, vol.5, issue.2, pp.91-9710, 1987.
DOI : 10.1016/0262-8856(87)90033-3

C. V. Robinson, Spherical Theorems of Helly Type and Congruence Indices of Spherical Caps, American Journal of Mathematics, vol.64, issue.1/4, pp.260-272, 1942.
DOI : 10.2307/2371682

C. Segre, Studio sulle quadriche in uno spazio lineare ad un numero qualunque di dimensioni, pp.3-86, 1883.

M. Steven, J. Seitz, and . Kim, The space of all stereo images, International Journal of Computer Vision, vol.48, pp.21-3810, 2002.

J. H. Silverman, Advanced Topics in the Arithmetic of Elliptic Curves. Number 151 in Graduate Texts in Mathematics, 1994.

A. Skowro´nskiskowro´nski and J. Weyman, The algebras of semi-invariants of quivers, Transformation Groups, vol.35, issue.4, pp.361-402, 2000.
DOI : 10.5802/aif.1634

J. Stolfi, Oriented projective geometry, Proceedings of the third annual symposium on Computational geometry , SCG '87, 1991.
DOI : 10.1145/41958.41966

P. Sturm, Multi-View Geometry for General Camera Models, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05), pp.206-212, 2005.
DOI : 10.1109/CVPR.2005.237

URL : https://hal.archives-ouvertes.fr/inria-00524401

P. Sturm, S. Ramalingam, J. Tardif, S. Gasparini, and J. Barreto, Camera models and fundamental concepts used in geometric computer vision . Foundations and Trends in Computer Graphics and Vision, pp.1-183, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00590269

R. Bibliographie93 and . Sturm, Die Gebilde ersten und zweiten Grades der Liniengeometrie in synthetischer, Behandlung. B. G. Teubner, vol.1, issue.3, pp.1892-1893

S. J. Teller, Computing the antipenumbra of an area light source, Proceedings of the 19th annual conference on Computer graphics and interactive techniques, SIGGRAPH '92, pp.139-148, 1992.

T. Theobald, An Enumerative Geometry Framework for Algorithmic Line Problems in $\mathbb R^3$, SIAM Journal on Computing, vol.31, issue.4, pp.1212-1228, 2004.
DOI : 10.1137/S009753970038050X

J. A. Todd, Combinants of a pencil of quadric surfaces. I, Proc. cambridge Philos. Soc, pp.475-487, 1947.
DOI : 10.1017/S0305004100023732

L. Tornheim, The Sylvester-Franke Theorem, The American Mathematical Monthly, vol.59, issue.6, pp.389-391, 1952.
DOI : 10.2307/2306811

C. Tu, W. Wang, and J. Wang, Classifying the nonsingular intersection curve of two quadric surfaces, Proc. of GMP'02 (Geometric Modeling and Processing), pp.23-32, 2002.

F. Uhlig, A canonical form for a pair of real symmetric matrices that generate a nonsingular pencil, Linear Algebra and its Applications, vol.14, issue.3, pp.189-209, 1976.
DOI : 10.1016/0024-3795(76)90066-5

O. Veblen and J. W. Young, Projective Geometry, 1910.

W. Wang, J. Wang, and M. Kim, An algebraic condition for the separation of two ellipsoids, Computer Aided Geometric Design, vol.18, issue.6, pp.531-539, 2001.
DOI : 10.1016/S0167-8396(01)00049-8

C. E. Weatherburn, Differential Geometry of Three Dimensions, 1955.

L. Meil and . Whyte, Grassmann-Cayley algebra and robotics applications, Handbook of Geometric Computing, pp.629-658, 2005.

K. Chee and . Yap, Robust geometric computation, Handbook of Discrete and Computational Geometry, chapter 41, pp.927-952, 2004.

J. Yu and L. Mcmillan, General Linear Cameras, Lecture Notes in Computer Science, vol.3022, pp.14-27, 2004.
DOI : 10.1007/978-3-540-24671-8_2

J. Yu and L. Mcmillan, Multiperspective projection and collineation, Proceedings of the 10th IEEE International Conference on Computer Vision, pp.580-587, 2005.

J. Yu, L. Mcmillan, and P. Sturm, Multiperspective modeling, rendering, and imaging, ACM SIGGRAPH ASIA 2008 courses on, SIGGRAPH Asia '08, pp.1-5036, 2008.
DOI : 10.1145/1508044.1508094

URL : https://hal.archives-ouvertes.fr/inria-00384270

A. Zomet, D. Feldman, S. Peleg, and D. Weinshall, Mosaicing new views: the crossed-slits projection, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.25, issue.6, pp.741-754, 2003.
DOI : 10.1109/TPAMI.2003.1201823

. Julienéliejulien´julienélie, Ligne droite (page web)