Amnon Shashua

The Institute of Computer Science

The Hebrew University of Jerusalem
Jerusalem 91904
Israel

email: shashua@cs.huji.ac.il
phone: +972-2-658-5988 fax: +1-(847) 792-0911 (US number, E-fax service)

Ph.D. Massachusetts Institute of Technology, 1993
M.Sc. Weizmann Institute of Science, 1989
B.Sc. Tel-Aviv University, 1986

Selected Publications

Chronological Publications:

2002, 2001, 2000, 1999, 1998, 1997, 1996, 1995, 1988-94

List of Publications by Topics:

Biography


Editorial Work:
 


Other Activities:
 



Teaching

Computer Vision (Spring 1996,7)

The Algebra and Geometry of Multiple 2D Views of 3D Scenes (fall 1995,7)

Data Structures (Spring 1998,9)


Selected Publications

S. Avidan and A. Shashua.Novel View Synthesis by Cascading Trilinear Tensors. IEEE Transactions on Visualization and Computer Graphics (TVCG), 4(4), 1998. A Brief Description is found here.ViewAbstractViewPDF

Lior Wolf and A. Shashua. On Projection Matrices P^k -> P^2, k=3,...,6, and their Applications in Computer Vision. International Conference on Computer Vision (ICCV)  Vancouver, Canada, July, 2001  ViewPDF The complete version to appear in IJCV ViewPDF Honorable Mention for the 2001 Marr Prize.

A. Shashua and Lior Wolf.Homography Tensors: On Algebraic Entities That Represent Three Views of Static or Moving Planar Points. Proc. of the European Conference on Computer Vision (ECCV), June 2000, Dublin, Ireland. best paper award winner. ViewAbstract ViewPDF

A. Shashua and Lior Wolf.On the Structure and Properties of the Quadrifocal Tensor. Proc. of the European Conference on Computer Vision (ECCV), June 2000, Dublin, Ireland. ViewAbstract ViewPDF

A. Shashua. Trilinear Tensor: The Fundamental Construct of Multiple-view Geometry and its Applications.International Workshop on Algebraic Frames For The Perception Action Cycle (AFPAC), Kiel Germany Sep. 8-9, 1997.ViewAbstractViewPSViewPDF

A. Shashua. On Photometric Issues in 3D Visual Recognition from a Single 2D Image.International Journal of Computer Vision (IJCV), 21(1/2), 99-122, 1997.ViewAbstractViewPSViewPDF

G.P. Stein and A. Shashua. Model-based Brightness Constraints: on Direct Estimation of Structure and Motion. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) Vol. 22(9), pp. 992--1015, 2000. ViewAbstractViewPDF

A. Shashua and N. Navab. Relative Affine Structure: Canonical Model for 3D from 2D Geometry and Applications.IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) Vol. 18(9), pp. 873--883, 1996.ViewAbstractViewPDF

A. Shashua. Algebraic Functions For Recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) Vol. 17(8), pp. 779--789, 1995.ViewAbstractViewPDF

A. Shashua and S. Ullman. Structural Saliency: the Detection of Globally Salient Structures Using a Locally Connected Network. In Proc. of the International Conference on Computer Vision (ICCV), Dec. 1988, Tarpon Springs, Florida.ViewPDF


Publications: 2002 (Sabbatical at Stanford)

Lior Wolf and A. Shashua. On Projection Matrices P^k -> P^2, k=3,...,6, and their Applications in Computer Vision. International Journal on Computer Vision (IJCV) 48(1), 2002.ViewPDF Honorable Mention for the 2001 Marr Prize.

A. Levin and A. Shashua. Principal Component Analysis Over Continuous Subspaces and Intersection of Half-spaces. Proc. of the European Conference on Computer Vision (ECCV), May 2002, Copenhagen, Denmark. ViewPDF

A. Levin and A. Shashua. Revisiting Single-view Shape Tensors: Theory and Applications. Proc. of the European Conference on Computer Vision (ECCV), May 2002, Copenhagen, Denmark. ViewPDF

A. Shashua, A. Levin and S. Avidan. Manifold Pursuit: A New Approach to Appearance Based Recognition. International Conference on Pattern Recognition (ICPR), August 2002, Quebec, Canada. ViewPDF

Publications: 2001

A. Shashua and A. Levin. Linear Image Coding for Regression and Classification using the Tensor-rank Principle. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), Dec. 2001, Hawaii.  ViewPDF

Lior Wolf and A. Shashua. Two-body Segmentation from Two Perspective Views. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), Dec. 2001, Hawaii.  ViewPDF

A. Levin, Lior Wolf and A. Shashua. Time-varying Shape Tensors for Scenes with Multiply Moving Points. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), Dec. 2001, Hawaii.  ViewPDF

Lior Wolf and A. Shashua. On Projection Matrices P^k -> P^2, k=3,...,6, and their Applications in Computer Vision. International Conference on Computer Vision (ICCV)  Vancouver, Canada, July, 2001  ViewPDF The complete version to appear in IJCV ViewPDF Honorable Mention for the 2001 Marr Prize.

Lior Wolf and A. Shashua. Affine 3-D Reconstruction from Two Projective Images of Independently Translating Planes. International Conference on Computer Vision (ICCV)  Vancouver, Canada, July, 2001  ViewPDF

A. Shashua and A. Levin Multi-frame Infinitesimal Motion Model for the Reconstruction of (Dynamic) Scenes with Multiple Linearly Moving Objects. International Conference on Computer Vision (ICCV)  Vancouver, Canada, July, 2001  ViewPDF

A. Zomet, Lior Wolf and A. Shashua. Omni-rig: Linear Self-recalibration of a Rig with Varying Internal and External Parameters. International Conference on Computer Vision (ICCV)  Vancouver, Canada, July, 2001  ViewPDF

J. Y. Kaminski, M. Fryers, A. Shashua and M. Teicher. Multiple View Geometry of Non-planar Algebraic Curves. International Conference on Computer Vision (ICCV)  Vancouver, Canada, July, 2001  ViewPDF

S. Avidan and A. Shashua. Threading Fundamental Matrices. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI), Vol. 23(1), pp. 73--77, 2001  ViewPDF

A. Shashua and T. Riklin Raviv.The Quotient Image: Class Based Re-rendering and Recognition With Varying Illuminations. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI), Vol. 23(2), pp. 129--139, 2001  ViewPDF

Publications: 2000

S. Avidan and A. Shashua. Trajectory Triangulation: 3D Reconstruction of Moving Points from a Monocular Image Sequence. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI), Vol. 22(4), pp. 348--357, 2000  ViewPDF

A. Shashua and Lior Wolf. Homography Tensors: On Algebraic Entities That Represent Three Views of Static or Moving Planar Points. Proc. of the European Conference on Computer Vision (ECCV), June 2000, Dublin, Ireland. best paper award winner.  ViewAbstract ViewPDF

A. Shashua and Lior Wolf. On the Structure and Properties of the Quadrifocal Tensor. Proc. of the European Conference on Computer Vision (ECCV), June 2000, Dublin, Ireland. ViewAbstract ViewPDF

A. Shashua and S. Avidan. On the Reprojection of 3D and 2D Scenes Without Explicit Model Selection. Proc. of the European Conference on Computer Vision (ECCV), June 2000, Dublin, Ireland. ViewAbstract ViewPDF

D. Segal and A. Shashua. 3D Reconstruction from Tangent-of-Sight Measurements of a Moving Object Seen from a Moving Camera. Proc. of the European Conference on Computer Vision (ECCV), June 2000, Dublin, Ireland. ViewAbstract ViewPDF

J. Kaminski and A. Shashua. On the Calibration and Reconstruction from Planar Curves. Proc. of the European Conference on Computer Vision (ECCV), June 2000, Dublin, Ireland. ViewAbstract ViewPDF

Y. Wexler and A. Shashua. On the Synthesis of Dynamic Scenes from Reference Views.  IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), June 2000, South Carolina. ViewAbstract ViewPDF

Lior Wolf, A. Shashua and Y. Wexler. Join Tensors: on 3D-to-3D alignment of Dynamic Sets. Proc. of the Int. Conf. on Pattern Recog. (ICPR), Sep. 2000, Barcelona, Spain ViewAbstract ViewPDF

G.P. Stein, O. Mano and A. Shashua.A Robust Method for Computing Vehicle Ego-motion. IEEE Intelligent Vehicles Symposium (IV2000),Oct. 2000, Dearborn, MI. ViewAbstract ViewPDF

G.P. Stein and A. Shashua. Model-based Brightness Constraints: on Direct Estimation of Structure and Motion. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) Vol. 22(9), pp. 992--1015, 2000. ViewAbstractViewPDF

Publications: 1999

A. Shashua, S. Avidan and M. Werman.Trajectory Triangulation over Conic Sections. International Conference on Computer Vision (ICCV)  Sep., 1999  ViewAbstract ViewPDF

S. Avidan and A. Shashua. Trajectory Triangulation of Lines: Reconstruction of a 3D point Moving

along a  Line from a Monocular Image Sequence. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), June, 1999 ViewPDF

T. Riklin Raviv and A. Shashua.The Quotient Image: Class Based Re-rendering and Recognition With Varying Illuminations. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), June, 1999ViewAbstract ViewPDF

Y. Wexler and A. Shashua. Q-warping: Direct Computation of Quadratic Reference Surfaces. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), June, 1999.ViewAbstractViewPDF (full journal version in ViewPDF)

A. Shashua. On the Equivalence Between the Support Vector Machine for Classification and Sparsified Fisher's Linear Discriminant . Neural Processing Letters, 9(2): 129--139, 1999. ViewPDF

G. P. Stein and A. Shashua. On Degeneracy of Linear Reconstruction from Three Views: Linear Line Complex and Applications.IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI), Vol. 21(3), pp. 244--251, 1999. ViewAbstractViewPDF


Publications: 1998

S. Avidan and A. Shashua. Tensor Embedding of the Fundamental Matrix. Post-ECCV SMILE Workshop, June 1998, Frieburg, Germany. Springer LNCS series, Vol. 1506. Journal Version (submitted)

A. Shashua. Omni-Rig Sensors: What Can be Done With a Non-Rigid Vision Platform?. Proc. of the Workshop on Applications of Computer Vision (WACV), Princeton, Oct. 1998.

S. Avidan and A. Shashua. Threading Fundamental Matrices. ECCV'98, June 1998, Frieburg, Germany. Journal Version (to appear)

G. P. Stein and A. Shashua. On Degeneracy of Linear Reconstruction from Three Views: Linear Line Complex and Applications. ECCV'98, June 1998, Frieburg, Germany.

G. P. Stein and A. Shashua. Direct Estimation of Motion and Extended Scene Structure from a Moving Stereo Rig. CVPR'98, Santa Barbara, June 1998.

S.J. Maybank and A. Shashua. Ambiguity in Reconstruction from Images of Six Points . In Proc. of the International Conference on Computer Vision (ICCV), January 1998, Bombay, India.


Publications: 1997

A. Shashua. Trilinear Tensor: The Fundamental Construct of Multiple-view Geometry and its Applications. International Workshop on Algebraic Frames For The Perception Action Cycle (AFPAC97), Kiel Germany Sep. 8--9, 1997.

G.P. Stein and A. Shashua. Model-based Brightness Constraints: on Direct Estimation of Structure and Motion. CVPR, June 1997. For demo click here

S. Avidan and A. Shashua. Novel View Synthesis in Tensor Space. CVPR, June 1997. For demo click here. A Brief Description is found here.

S. Avidan, T. Evgeniou, A. Shashua and T. Poggio Image-Based View Synthesis by Combining Trilinear Tensors and Learning Techniques. ACM VRST'97 Conference.

A. Shashua. On Photometric Issues in 3D Visual Recognition from a Single 2D Image. International Journal of Computer Vision (IJCV), 21(1/2), 99-122, 1997. For demo click here

A. Shashua and S. Toelg. The Quadric Reference Surface: Theory and Applications. International Journal of Computer Vision (IJCV), 23(2), 185-198, 1997.
 


Publications: 1996

A. Shashua and S.J. Maybank. Degenerate $N$ point Configurations of Three Views: Do Critical Surfaces Exist? . Hebrew University, Computer Science TR 96-19, Nov. 1996.

S. Avidan and A. Shashua. Unifying Two-View and Three-View Geometry . Hebrew University, Computer Science TR 96-21, Nov. 1996.

A. Shashua and N. Navab. Relative Affine Structure: Canonical Model for 3D from 2D Geometry and Applications. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) Vol. 18(9), pp. 873--883, 1996.

A. Shashua and S. Avidan. The Rank4 Constraint In Multiple View Geometry. ECCV, April 1996.

D. Weinshall, M. Werman and A. Shashua. Duality Of Multi-Point And Multi-Frame Geometry: Fundamental Shape Matrices And Tensors. ECCV, April 1996.

B. Rousso, S. Avidan, A. Shashua and S. Peleg. Robust Recovery of Camera Rotation from Three Frames. CVPR, June 1996. For demo click here

A. Shashua. Multiple-view Geometry and Photometry. "Recent Progress in Computer Vision", Springer-Verlag, LNCS series - Invited papers of ACCV'95, Singapore Dec. 1995.

A.Shashua and P. Anandan. Trilinear Constraints Revisited: Generalized Trilinear Constraints And The Tensor Brightness Constraint. In Proc. of the ARPA Image Understanding Workshop, Palm Springs, Feb. 1996.

S. Avidan and A. Shashua. Tensorial Transfer: On the Representation of $N>3$ Views of a 3D Scene. In Proc. of the ARPA Image Understanding Workshop, Palm Springs, Feb. 1996.

S. Avidan and A. Shashua. Novel View Synthesis in Tensor Space. Technion, CIS Report 9602, January 1996. For demo click here



Publications: 1995

A. Shashua. Algebraic Functions For Recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) Vol. 17(8), pp. 779--789, 1995.

A. Shashua and M. Werman. On the Trilinear Tensor of Three Perspective Views and its Underlying Geometry. In Proc. of the International Conference on Computer Vision (ICCV), June 1995, Boston MA.

M. Werman and A. Shashua. Elimination: An Approach to the Study of 3D-from-2D. In Proc. of the International Conference on Computer Vision (ICCV), June 1995, Boston MA.

A. Shashua. Multiple-view Geometry and Photometry. "Recent Progress in Computer Vision", Springer-Verlag, LNCS series - Invited papers of ACCV'95, Singapore Dec. 1995.



Publications: 1988-94

A. Shashua. Trilinear Functions For Visual Recognition. Proc. of the European Conference on Computer Vision (ECCV), pp. 479-484, May 1994, Stockholm, Sweden.

A. Shashua and S. Toelg.  The Quadric Reference Surface: Applications in Registering  Views of Complex 3D Objects. Proc. of the European Conference on Computer Vision (ECCV), pp. 407-416, May 1994, Stockholm, Sweden.

A. Shashua. Projective Structure from Uncalibrated Images: Structure from Motion and Recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) Vol. 16(8), pp. 778--790, 1994.

A. Shashua and N. Navab. Relative Affine Structure: Theory and Application for 3D Reconstruction From Perspective Views. IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 483-489, June 1994, Seattle, Washington.

A. Shashua. Projective Depth: A Geometric Invariant For 3D Reconstruction  >From Two Perspective/Orthographic Views and For Visual Recognition. International Conference on Computer Vision (ICCV), pp. 583-590, May 1993, Berlin, Germany.

D. Beymer, A. Shashua and T. Poggio. Example Based Image Analysis and Synthesis. MIT, AI Memo 1431, October 1993.

A. Shashua. Geometry and Photometry in 3D Visual Recognition. Ph.D. Thesis, MIT, Nov. 1992. AITR-1401.

A. Shashua and S. Ullman. Grouping Contours by Iterated Pairing Network. In Lippmann,R.P., Moody,J.E. and Touretzky,D.S. (eds.) Advances in Neural Information Processing Systems 3, pp. 335--341, Morgan Kaufmann Publishers, CA, 1991 (Proc. of NIPS'90).

A. Shashua. Illumination and View Position in 3D Visual Recognition. In J.E. Moody, S.J. Hanson and R.P. Lippmann (eds.) Advances in Neural Information Processing Systems 4, pp. 404--411, Morgan Kaufmann Publishers, CA 1992 (Proc. of NIPS'91).

A. Shashua and S. Ullman. Structural Saliency: the Detection of Globally Salient Structures Using a Locally Connected Network. In Proc. of the International Conference on Computer Vision (ICCV), Dec. 1988, Tarpon Springs, Florida.ViewPDF
 



Publications: Algebra and Geometry of Multiple Views

Algebraic Constraints and Trilinear Tensor: Theory

S. Avidan and A. Shashua. Tensor Embedding of the Fundamental Matrix. Post-ECCV SMILE Workshop, June 1998, Frieburg, Germany. Springer LNCS series, Vol. 1506. Journal Version (submitted).

S. Avidan and A. Shashua. Threading Fundamental Matrices. ECCV'98, June 1998, Frieburg, Germany.

G. P. Stein and A. Shashua. On Degeneracy of Linear Reconstruction from Three Views: Linear Line Complex and Applications. ECCV'98, June 1998, Frieburg, Germany.

A. Shashua. Trilinear Tensor: The Fundamental Construct of Multiple-view Geometry and its Applications. International Workshop on Algebraic Frames For The Perception Action Cycle (AFPAC97), Kiel Germany Sep. 8--9, 1997.

A. Shashua. Multiple-view Geometry and Photometry. "Recent Progress in Computer Vision", Springer-Verlag, LNCS series - Invited papers of ACCV'95, Singapore Dec. 1995.

A. Shashua and S. Avidan. The Rank4 Constraint In Multiple View Geometry. ECCV, April 1996.

D. Weinshall, M. Werman and A. Shashua. Duality Of Multi-Point And Multi-Frame Geometry: Fundamental Shape Matrices And Tensors. ECCV, April 1996.

A.Shashua and P. Anandan. Trilinear Constraints Revisited: Generalized Trilinear Constraints And The Tensor Brightness Constraint. In Proc. of the ARPA Image Understanding Workshop, Palm Springs, Feb. 1996.

S. Avidan and A. Shashua. Tensorial Transfer: On the Representation of $N>3$ Views of a 3D Scene. In Proc. of the ARPA Image Understanding Workshop, Palm Springs, Feb. 1996.

A. Shashua. Algebraic Functions For Recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) Vol. 17(8), pp. 779--789, 1995.

A. Shashua and M. Werman. On the Trilinear Tensor of Three Perspective Views and its Underlying Geometry. In Proc. of the International Conference on Computer Vision (ICCV), June 1995, Boston MA.

M. Werman and A. Shashua. Elimination: An Approach to the Study of 3D-from-2D. In Proc. of the International Conference on Computer Vision (ICCV), June 1995, Boston MA.

Algebraic Constraints and Trilinear Tensor: Applications

S. Avidan and A. Shashua. Novel View Synthesis by Cascading Trilinear Tensors. IEEE Transactions on Visualization and Computer Graphics (TVCG), 4(4), 1998. A Brief Description is found here.

S. Avidan, T. Evgeniou, A. Shashua and T. Poggio Image-Based View Synthesis by Combining Trilinear Tensors and Learning Techniques. ACM VRST'97 Conference.

G.P. Stein and A. Shashua. Model-based Brightness Constraints: on Direct Estimation of Structure and Motion. CVPR, June 1997. For demo click here

B. Rousso, S. Avidan, A. Shashua and S. Peleg. Robust Recovery of Camera Rotation from Three Frames. CVPR, June 1996. For demo click here
 

On the Geometry of Two Views: Projective Camera

A. Shashua. Projective Structure from Uncalibrated Images: Structure from Motion and Recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) Vol. 16(8), pp. 778--790, 1994.

A. Shashua and N. Navab. Relative Affine Structure: Canonical Model for 3D from 2D Geometry and Applications. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) Vol. 18(9), pp. 873--883, 1996.

Miscellaneous

S.J. Maybank and A. Shashua. Ambiguity in Reconstruction from Images of Six Points . In Proc. of the International Conference on Computer Vision (ICCV), January 1998, Bombay, India.

G. P. Stein and A. Shashua. Direct Estimation of Motion and Extended Scene Structure from a Moving Stereo Rig. CVPR'98, Santa Barbara, June 1998.

S. Avidan and A. Shashua. Non-Rigid Parallax for 3D Linear Motion. Proc. of the DARPA IUW, Nov. 1998, Monterey, CA

A. Shashua. Omni-Rig Sensors: What Can be Done With a Non-Rigid Vision Platform?. Proc. of the Workshop on Applications of Computer Vision (WACV), Princeton, Oct. 1998.
 


Publications: Visual Recognition, View-Synthesis, Image-based Rendering and Machine Learning

T. Riklin-Raviv and A. Shashua. The Quotient Image: Class Based Re-rendering and Recognition With Varying Illuminations.Technical Report, Hebrew University Cmoputer Science TR-99-1, January 1999. abstract


Y. Wexler and A. Shashua. Q-warping: Direct Computation of Quadratic Reference Surfaces.Technical Report, Hebrew University, January 1999. abstract

A. Shashua. On the Equivalence Between the Support Vector Machine for Classification and Sparsified Fisher's Linear Discriminant . Neural Processing Letters, 9(2): 129--139, 1999.

S. Avidan and A. Shashua. Novel View Synthesis by Cascading Trilinear Tensors. IEEE Transactions on Visualization and Computer Graphics (TVCG), 4(4), 1998. A Brief Description is found here.

A. Shashua. On Photometric Issues in 3D Visual Recognition from a Single 2D Image. International Journal of Computer Vision (IJCV), 21(1/2), 99-122, 1997. For demo click here

A. Shashua and S. Toelg. The Quadric Reference Surface: Theory and Applications. International Journal of Computer Vision (IJCV), 23(2), 185-198, 1997.

D. Beymer, A. Shashua and T. Poggio. Example Based Image Analysis and Synthesis. MIT, AI Memo 1431, October 1993.

A. Shashua. Geometry and Photometry in 3D Visual Recognition. Ph.D. Thesis, MIT, Nov. 1992. AITR-1401.

A. Shashua. Illumination and View Position in 3D Visual Recognition. In J.E. Moody, S.J. Hanson and R.P. Lippmann (eds.) Advances in Neural Information Processing Systems 4, pp. 404--411, Morgan Kaufmann Publishers, CA 1992 (Proc. of NIPS'91).


Publications: Early Visual Processing

A. Shashua and S. Ullman. Grouping Contours by Iterated Pairing Network. In Lippmann,R.P., Moody,J.E. and Touretzky,D.S. (eds.) Advances in Neural Information Processing Systems 3, pp. 335--341, Morgan Kaufmann Publishers, CA, 1991 (Proc. of NIPS'90).

A. Shashua and S. Ullman. Structural Saliency: the Detection of Globally Salient Structures Using a Locally Connected Network. In Proc. of the International Conference on Computer Vision (ICCV), Dec. 1988, Tarpon Springs, Florida.ViewPDF