- D. Gottlieb and E. Tadmor
Recovering
pointwise values of discontinuous data
within spectral accuracy
in
"Progress and Supercomputing in Computational
Fluid Dynamics", Proc. of US-Israel workshop
held in Jerusalem in 1984, Vol. 6 (E. M. Murman
and S. S. Abarbanel, eds.), Birkhauser, Boston
(1985) 357-375..
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 |
- S. Abarbanel, D. Gottlieb and E.
Tadmor
Spectral methods for
discontinuous problems
in
"Numerical Methods for Fluid Dynamics",
Numerical Methods for Fluid Dynamics II in 1985
(K. W. Morton and M. J. Baines eds.), Clarendon
Press, Oxford, Reading (1986) 129-153..
|
|
- S. Mallat and W. L. Hwang
Singularity
detection and processing with
wavelets
IEEE Transactions
on Information Theory 38(2) (1992)
617-643.
|
|
- A. Gelb and E. Tadmor
Detection of
edges in spectral
data
Applied and
Computational Harmonic Analysis 7
(1999) 101-135.
|
|
- A. Gelb and E. Tadmor
Detection of
edges in spectral data II. Nonlinear
enhancement
SIAM Journal on
Numerical Analysis 38 (2000)
1389-1408.
|
|
- Anne Gelb
A hybrid approach to
spectral reconstruction of piecewise smooth
functions
Journal of
Scientific Computing 15(3) (2000)
293-322.
|
|
- G. Kvernadze
Approximation of the
singularities of a bounded function by the
partial sums of its differentiated Fourier
series
Applied Comput.
Harmonic Analysis 11(3) (2001)
439-454.
|
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- E. Tadmor and J. Tanner
Adaptive
mollifiers -- high resolution recovery of
piecewise smooth data from its spectral
information
Foundations of
Computational Mathematics 2(2) (2002)
155-189.
|
|
- R. Archibald and A. Gelb
A method to
reduce the Gibbs ringing artifact in MRI
scans while keeping tissue boundary
integrity
IEEE Transactions
of Medical Imaging 21(4) (2002)
100-114.
|
|
- A. Gelb and E. Tadmor
Spectral
reconstruction of one- and two-dimensional
piecewise smooth functions from their
discrete data
Mathematical
Modeling and Numerical Analysis 36(2)
(2002) 155-175.
|
|
- R. Archibald and A. Gelb
Reducing the
effects of noise in image
reconstruction
Journal of
Scientific Computing 17(1-4) (2002)
167-180.
|
|
- E. Tadmor and J. Tanner
An adaptive
order Godunov type central
scheme
in "Hyperbolic Problems:
Theory, Numerics, Applications", Proc. 9th
International Hyp Conference held in CalTech,
Pasadena in 2002 (T. Hou & E. Tadmor eds.),
Springer (2003) 871-880..
|
|
- S. Sarra
The spectral signal
processing suite
ACM
Transactions on Mathematical Software
29(2) (2003) 195-217.
|
|
- G. Kvernadze
Approximating the jump
discontinuities of a function by its
Fourier-Jacobi
coefficients
Mathematics of
Computation 73(246) (2003)
731-751.
|
|
- E. Tadmor and J. Tanner
Adaptive
filters for piecewise smooth spectral
data
IMA Journal of
Numerical Analysis 25(4) (2005)
635-647.
|
|
- J. Boyd
Trouble with Gegenbauer
reconstruction for defeating Gibbs'
phenomenon: Runge phenomenon in the diagonal
limit of Gegenbauer polynomial
approximations
Journal o
Computational Physics 204 (2005)
253-264.
|
|
- Anne Gelb and Jared Tanner
Robust
reprojection methods for the resolution of
the Gibbs phenomenon
Applied
Computational Harmonic Analysis 20
(2006) 3-25.
|
|
- Anne Gelb and Eitan Tadmor
Adaptive
edge detectors for piecewise smooth data
based on the minmod
limiter
Journal of
Scientific Computing 28(2-3) (2006)
279-306.
|
|
- L. Hu and X. L. Shi
Concentration
factors for functions with harmonic bounded
mean variation
Acta
Mathematica Hungaria (2007).
|
|
- E. Tadmor
Filters, mollifiers and the
computation of the Gibbs
phenomenon
Acta
Numerica 16 (2007) 305-378.
|
|
- S. Engelberg and E. Tadmor
Recovery
of edges from spectral data with noise---a
new perspective
SIAM Journal
on Numerical Analysis 46(5) (2008)
2620-2635.
|
|
- S. Engelberg
Edge detection using
Fourier
coefficients
American
Mathematical Monthly (2008)
499-513.
|
|
- E. Tadmor and J. Zou
Novel edge
detection methods for incomplete and noisy
spectral data
Journal of
Fourier Analysis and Applications 14(5)
(2008) 744-763.
|
|
- A. Gelb and D. Cates
Segmentation of
images from Fourier spectral
data
Communications in
Computational Physics 5(2-4) (2009)
326-349.
|
|
- D. Batenkov, N. Sarig and Y.
Yomdin
An "algebraic" reconstruction
of piecewise-smooth functions from integral
measurements
Functional
Differential Equations 19(1-2) (2012)
13-30.
|
|
- D. Batenkov and Y. Yomdin
Algebraic
Fourier reconstruction of piecewise smooth
functions
Mathematics of
Computation 81(277) (2012)
277-318.
|
|
- B. I. Yun and K. S. Rim
Local edge
detectors using a sigmoidal transformation
for piecewise smooth
data
Applied Mathematics
Letters 26(2) (2013) 270-276.
|
|
- D. Batenkov
Complete algebraic
reconstruction of piecewise-smooth functions
from Fourier
data
Mathematics of
Computation 84(295) (2015)
2329-2350.
|
|
- Beong In Yun
Enhanced edge detection
method based on a threshold function for
discrete data
Applied
Mathematical Sciences 10(58) (2016)
2881-2893.
|
|
- Guohui Song, Gabe Tucker and Congzhi
Xia
Admissible concentration factors
for edge detection from non-uniform Fourier
data
Journal of Scientific
Computing 85(3) (2020) 1-16.
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