Fetching the paper…
Reading the bibliography…
The geometric problem of estimating an unknown compact convex set from evaluations of its support function arises in a range of scientific and engineering applications.
On the Origin of Number and Arrangement of the Places of Exit on the Surface of Pollen-Grains
P. M. L. Tammes · 1930
Earlier work this paper cites.
Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?
K. Schütte and B. L. van der Waerden · 1951
Earlier work this paper cites.
On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities (in Russian)
V. N. Vapnik and A. Ya. Chervonenkis · 1968
Earlier work this paper cites.
Strong Consistency of k k -Means Clustering
D. Pollard · 1981
Earlier work this paper cites.
Least Squares Quantization in PCM
S. Lloyd · 1982
Earlier work this paper cites.
Convergence of Stochastic Processes
D. Pollard · 1984
Earlier work this paper cites.
Finite Point-sets On S2 With Minimum Distance As Large As Possible
L. Danzer · 1986
Earlier work this paper cites.
Shape Estimation in Computer Tomography from Minimal Data
H. Stark and H. Peng · 1988
Earlier work this paper cites.
Some New Vapnik-Chervonenkis classes
G. Stengle and J. E. Yukich · 1989
Earlier work this paper cites.
Reconstructing Convex Sets from Support Line Measurements
J. L. Prince and A. S. Willsky · 1990
Earlier work this paper cites.
Convex Set Reconstruction Using Prior Shape Iinformation
J. L. Prince and A. S. Willsky · 1991
Earlier work this paper cites.
Expressing Combinatorial Optimization Problems by Linear Programs
M. Yannakakis · 1991
Cited alongside, same era.
Convex-polygon Estimation from Support-line Measurements and Applications to Target Reconstruction from Laser-radar Data
A. S. Lele, S. R. Kulkani, and A. S. Willsky · 1992
Cited alongside, same era.
Interior-Point Polynomial Algorithms in Convex Programming
Y. Nesterov and A. Nemirovskii · 1994
Cited alongside, same era.
On the Estimation of a Convex Set From Noisy Data on Its Support Function
N. I. Fisher, P. Hall, B. A. Turlach, and G. S. Watson · 1997
Cited alongside, same era.
Mathematical Problems for the Next Century
S. Smale · 1998
Cited alongside, same era.
On the Estimation of a Convex Set With Corners
P. Hall and B. A. Turlach · 1999
Cited alongside, same era.
A New Algorithm for 3D Reconstruction from Support Functions
R. J. Gardner and M. Kiderlen · 2009
Later among the works it cites.
Convex Piecewise-Linear Fitting
A. Magnani and S. P. Boyd · 2009
Later among the works it cites.
Approximations of Convex Bodies by Polytopes and by Projections of Spectrahedra
A. Barvinok · 2012
Later among the works it cites.
Optimal Rates of Convergence for Convex Set Estimation from Support Functions
A. Guntuboyina · 2012
Later among the works it cites.
Lifts of Convex Sets and Cone Factorizations
J. Gouveia, P. A. Parrilo, and R. R. Thomas · 2013
Later among the works it cites.
Multivariate Convex Regression with Adaptive Partitioning
L. A. Hannah and D. B. Dunson · 2013
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
On Polyhedral Approximations of the Second-Order Cone
A. Ben-Tal and A. Nemirovski · 2001
Cited alongside, same era.
Three-dimensional Support Function Estimation and Application for Projection Magnetic Resonance Imaging
J. Gregor and F. R. Rannou · 2002
Cited alongside, same era.
Convergence of Algorithms for Reconstructing Convex Bodies and Directional Measures
R. J. Gardner, M. Kiderlen, and P. Milanfar · 2006
Cited alongside, same era.
Approximation of Convex Sets by Polytopes
E. M. Bronstein · 2008
Cited alongside, same era.
Introduction to Empirical Processes and Semiparametric Inference
M. R. Kosorok · 2008
Cited alongside, same era.
Normal Chest CT (Lung Window) – Radiopaedia
F. Gaillard
Cited in the paper.
Convex Bodies: The Brunn-Minkowski Theory
R. Schneider · 2013
Later among the works it cites.
Convex Regression: Theory, Practice, and Applications
G. Balázs · 2016
Later among the works it cites.
Optimal Size of Linear Matrix Inequalities in Semidefinite Approaches to Polynomial Optimization
G. Averkov · 2018
Later among the works it cites.
Adaptive Estimation of Planar Convex Sets
T. T. Cai, A. Guntuboyina, and Y. Wei · 2018
Later among the works it cites.
Limitations on the Expressive Power of Convex Cones Without Long Chains of Faces
J. Saunderson · 2019
Closest in time.