Fetching the paper…
Reading the bibliography…
Many important geometric estimation problems take the form of synchronization over the special Euclidean group: estimate the values of a set of poses given a set of relative measurements between them.
Dispersion on a sphere
R.A. Fisher · 1953
Earlier work this paper cites.
Differential Topology
V. Guillemin and A. Pollack · 1974
Earlier work this paper cites.
Efficient simulation of the von Mises distribution
D.J. Best and N.I. Fisher · 1979
Earlier work this paper cites.
Analysis of measurements based on the singular value decomposition
R.J. Hanson and M.J. Norris · 1981
Earlier work this paper cites.
Truncated-Newton algorithms for large-scale unconstrained optimization
R.S. Dembo and T. Steihaug · 1983
Earlier work this paper cites.
The conjugate gradient method and trust regions in large scale optimization
T. Steihaug · 1983
Earlier work this paper cites.
Foundations of Differentiable Manifolds and Lie Groups
F.W. Warner · 1983
Earlier work this paper cites.
Topics in Matrix Analysis
R.A. Horn and C.R. Johnson · 1991
Earlier work this paper cites.
Least-squares estimation of transformation parameters between two point patterns
S. Umeyama · 1991
Earlier work this paper cites.
A Course in Large Sample Theory
T.S. Ferguson · 1996
Earlier work this paper cites.
Matrix Computations
G.H. Golub and C.F. Van Loan · 1996
Earlier work this paper cites.
Foundations of Differential Geometry , volume 1
S. Kobayashi and K. Nomizu · 1996
Earlier work this paper cites.
Semidefinite programming
V. Vandenberghe and S. Boyd · 1996
Earlier work this paper cites.
Complementarity and nondegeneracy in semidefinite programming
F. Alizadeh, J.-P. A. Haeberly, and M.L. Overton · 1997
Earlier work this paper cites.
Algebraic potential theory on graphs
N. Biggs · 1997
Earlier work this paper cites.
Globally consistent range scan alignment for environmental mapping
F. Lu and E. Milios · 1997
Earlier work this paper cites.
The geometry of algorithms with orthogonality constraints
A. Edelman, T.A. Arias, and S.T. Smith · 1998
Earlier work this paper cites.
CSDP, a C library for semidefinite programming
B. Borchers · 1999
Earlier work this paper cites.
Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
J.F. Sturm · 1999
Earlier work this paper cites.
SDPT3 – a MATLAB software package for semidefinite programming
K.C. Toh, M.J. Todd, and R.H. Tütüncü · 1999
Earlier work this paper cites.
Solving large-scale sparse semidefinite programs for combinatorial optimization
S.J. Benson, Y. Ye, and X. Zhang · 2000
Earlier work this paper cites.
Matrix Analysis and Applied Linear Algebra
C.D. Meyer · 2000
Earlier work this paper cites.
A survey of truncated-Newton methods
S.G. Nash · 2000
Earlier work this paper cites.
Global optimization and the problem of moments
J.B. Lasserre · 2001
Earlier work this paper cites.
Semidefinite optimization
M.J. Todd · 2001
Earlier work this paper cites.
An Introduction to Differentiable Manifolds and Riemannian Geometry
W.M. Boothby · 2003
Earlier work this paper cites.
A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
S. Burer and R.D.C. Monteiro · 2003
Earlier work this paper cites.
Optimal and global time synchronization in sensornets
R. Karp, J. Elson, D. Estrin, and S. Shenker · 2003
Cited alongside, same era.
Semidefinite programming relaxations for semialgebraic problems
P.A. Parrilo · 2003
Cited alongside, same era.
Implementation and evaluation of SDPA 6.0 (semidefinite programming algorithm 6.0)
M. Yamashita, K. Fujisawa, and M. Kojima · 2003
Cited alongside, same era.
Convex Optimization
S. Boyd and L. Vandenberghe · 2004
Cited alongside, same era.
Local minima and convergence in low-rank semidefinite programming
S. Burer and R.D.C. Monteiro · 2005
Cited alongside, same era.
Square Root SAM: Simultaneous localization and mapping via square root information smoothing
F. Dellaert and M. Kaess · 2006
Cited alongside, same era.
Robust principal component analysis?
E.J. Candès, X. Li, Y. Ma, and J. Wright · 2011
Later among the works it cites.
g2o: A general framework for graph optimization
R. Kümmerle, G. Grisetti, H. Strasdat, K. Konolige, and W. Burgard · 2011
Later among the works it cites.
Angular synchronization by eigenvectors and semidefinite programming
A. Singer · 2011
Later among the works it cites.
Three-dimensional structure determination from common lines in cryo-EM by eigenvectors and semidefinite programming
A. Singer and Y. Shkolnisky · 2011
Later among the works it cites.
The convex geometry of linear inverse problems
V. Chandrasekaran, B. Recht, P.A. Parrilo, and A.S. Willsky · 2012
Later among the works it cites.
Sensor network localization by eigenvector synchronization over the special Euclidean group
M. Cucuringu, Y. Lipman, and A. Singer · 2012
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Distributed clock synchronization over wireless networks: Algorithms and analysis
A. Giridhar and P.R. Kumar · 2006
Cited alongside, same era.
Convergent SDP-relaxations in polynomial optimization with sparsity
J.B. Lasserre · 2006
Cited alongside, same era.
Minimizing polynomials via sum of squares over the gradient ideal
J. Nie, J. Demmel, and B. Sturmfels · 2006
Cited alongside, same era.
Numerical Optimization
J. Nocedal and S.J. Wright · 2006
Cited alongside, same era.
Fast iterative alignment of pose graphs with poor initial estimates
E. Olson, J.J. Leonard, and S. Teller · 2006
Cited alongside, same era.
Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity
H. Waki, S. Kim, M. Kojima, and M. Muramatsu · 2006
Cited alongside, same era.
Later among the works it cites.
iSAM2: Incremental smoothing and mapping using the Bayes tree
M. Kaess, H. Johannsson, R. Roberts, V. Ila, J.J. Leonard, and F. Dellaert · 2012
Later among the works it cites.
Vector diffusion maps and the connection Laplacian
A. Singer and H.-T. Wu · 2012
Later among the works it cites.
A Cheeger inequality for the graph connection Laplacian
A.S. Bandeira, A. Singer, and D.A. Spielman · 2013
Later among the works it cites.
Rotation averaging
R. Hartley, J. Trumpf, Y. Dai, and H. Li · 2013
Later among the works it cites.
Exact and stable recovery of rotations for robust synchronization
L. Wang and A. Singer · 2013
Later among the works it cites.
RISE: An incremental trust-region method for robust online sparse least-squares estimation
D.M. Rosen, M. Kaess, and J.J. Leonard · 2014
Later among the works it cites.
Spectral motion synchronization in SE(3)
F. Arrigoni, A. Fusiello, and B. Rossi · 2015
Later among the works it cites.
Non-unique games over compact groups and orientation estimation in cryo-EM
A.S. Bandeira, Y. Chen, and A. Singer · 2015
Later among the works it cites.
N. Boumal · 2015
Later among the works it cites.
Stable camera motion estimation using convex programming
O. Özyeşil, A. Singer, and R. Basri · 2015
Later among the works it cites.
Sensor network localization on the group of three-dimensional displacements
J.R. Peters, D. Borra, B.E. Paden, and F. Bullo · 2015
Later among the works it cites.
A convex relaxation for approximate global optimization in simultaneous localization and mapping
D.M. Rosen, C. DuHadway, and J.J. Leonard · 2015
Later among the works it cites.
On the inclusion of determinant constraints in Lagrangian duality for 3D SLAM
R. Tron, D.M. Rosen, and L. Carlone · 2015
Later among the works it cites.
An introduction to matrix concentration inequalities
J.A. Tropp · 2015
Later among the works it cites.
A note on probably certifiably correct algorithms
A.S. Bandeira · 2016
Closest in time.
Tightness of the maximum likelihood semidefinite relaxation for angular synchronization
A.S. Bandeira, N. Boumal, and A. Singer · 2016
Closest in time.
Minimizing the sum of many rational functions
F. Bugarin, D. Henrion, and J.B. Lasserre · 2016
Closest in time.
Planar pose graph optimization: Duality, optimal solutions, and verification
L. Carlone, G.C. Calafiore, C. Tommolillo, and F. Dellaert · 2016
Closest in time.
NIST Digital Library of Mathematical Functions , Release 1.0.13, September 2016
F.W.J. Olver, A.B. Olde Daalhuis, D.W. Lozier, B.I. Schneider, R.F. Boisvert, C.W. Clark, B.R. Miller, and B.V. Saunders, editors · 2016
Closest in time.
A certifiably correct algorithm for synchronization over the special Euclidean group
D.M. Rosen, L. Carlone, A.S. Bandeira, and J.J. Leonard · 2016
Closest in time.
A survey on rotation optimization in structure from motion
R. Tron, X. Zhou, and K. Daniilidis · 2016
Closest in time.