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Prof. Dr. Emily King

Google Scholar Profile:

Emily J. King

Preprints:

John Jasper, Emily J. King, Dustin Mixon.
Game of Sloanes: Best known packings in complex projective space.

Emily J. King.
Constructing Subspace Packings from Other Packings.

Sören Dittmer, Emily J. King, Peter Maass.
Singular values for ReLU layers.

Bernhard Bodmann, Emily J. King. 
Optimal arrangements of classical and quantum states with limited purity.

Sören Schulze, Emily J. King.
Musical Instrument Separation on Shift-Invariant Spectrograms via Stochastic Dictionary Learning.

Emily J. King. 
New Constructions and Characterizations of Flat and Almost Flat Grassmannian Fusion Frames.

Emily J. King, Xiaoxian Tang. 
New Upper Bounds for Equiangular Lines by Pillar Decomposition. 

Articles:

Rafael Reisenhofer, Emily J. King.
Edge, ridge, and blob detection with symmetric molecules. Supplementary Materials (PDF)
To appear: SIAM Journal on Imaging Sciences (2019).

Emily J. King
2- and 3-Covariant Equiangular Tight Frames
To appear: Sampling Theory in Signal and Image Processing: Special Issue SampTA (2019).

Matthew Fickus, John Jasper, Emily J. King, Dustin G. Mixon.
Equiangular tight frames that contain regular simplices.
Linear Algebra and its Applications 555:98–138 (2018).
DOI: 10.1016/j.laa.2018.06.004

Emily J. King, Maria A. Skopina.
On biorthogonal p-adic wavelet bases. 
Notes of Scientific Seminars of the St. Petersburg Department of the Steklov Mathematical Institute, Russian Academy of Sciences, 455:67-83 (2017).
English version:
Journal of Mathematical Sciences, 234:158-169 (2018).
DOI: 10.1007/s10958-018-3992-9

Rafael Reisenhofer, Johannes Kiefer, Emily J. King.
Shearlet-Based Detection of Flame Fronts. 
Exp Fluids 57: 41 (2016).
DOI: 10.1007/s00348-016-2128-6

Wojciech Czaja, Emily J. King. 
Anistropic shearlet transforms for L2(ℝk). 
Math. Nachr. 287, No. 8-9, 903-915 (2014).
DOI: 10.1002/mana.201000035

Emily J. King, Gitta Kutyniok, Xiaosheng Zhuang.
Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis. 
J. Math Imaging Vis 48: 205  (2014).
DOI: 10.1007/s10851-013-0422-y

Emily J. King.
Smooth parseval frames for L2(ℝ) and generalizations to L2(ℝd) . 
Int. J. Wavelets Multiresolut Inf. Process., 11, 1350047 (2013).
DOI: 10.1142/S0219691313500471

Wojciech Czaja, Emily J. King.
Isotropic shearlet analogs for L2(ℝk) and localization operators. 
Numerical Functional Analysis and Optimization, 33:7-9, 872-905 (2012).
DOI: 10.1080/01630563.2012.682137

Emily J. King, Maria A. Skopina.
Quincunx multiresolution analysis for L2(ℚ2
2
). 

p-Adic Num Ultrametr Anal Appl 2:222 (2010).
DOI: 10.1134/S2070046610030040

John J. Benedetto, Emily J. King.
Smooth functions associated with wavelet sets on ℝd, d≥1, and frame bound gaps. 
Acta Appl. Math. 107:121 (2009).
DOI: 10.1007/s10440-008-9412-2

Proceedings:

E. J. King (joint work with A. Fink, C. Vinzant, and S. Waldron)
Decomposing (equiangular) tight frames into (equiangular) tight frames for their spans.
Oberwolfach Reports -MiniWorkshop: Algebraic, Geometric, and Combinatorial Methods in Frame Theory, 46(2018): 29-32.
DOI: 10.4171/OWR/2018/46

Emily J. King, James M. Murphy. 
A theoretical guarantee for data completion via geometric separation. 
Proc. Appl. Math. Mech. 17, 833 – 834 (2017).
DOI: 10.1002/pamm.201710384
https://arxiv.org/abs/1705.10745

Emily J. King. 
Algebraic and geometric spread in finite frames. 
Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970B, (24 August 2015).
DOI: 10.1117/12.2188541

Emily J. King, Rafael Reisenhofer, Johannes Kiefer, Wang-Q Lim, Zhen Li, Georg Heygster. 
Shearlet-based edge detection: flame fronts and tidal flats. 
Proc. SPIE 9599, Applications of Digital Image Processing XXXVIII, 959905, (22 September 2015).
DOI: 10.1117/12.2188652

Emily J. King, Gitta Kutyniok, Wang-Q Lim. 
Image inpainting: theoretical analysis and comparison of algorithms. 
Proc. SPIE 8858, Wavelets and Sparsity XV, 885802 (26 September 2013).
DOI: 10.1117/12.2025401

Emily J. King. 
Frame theory for locally compact abelian groups. 
Proc. SPIE 8858, Wavelets and Sparsity XV, 88581R (26 September 2013).
DOI: 10.1117/12.2025018

Martin Ehler, Julia Dobrosotskaya, Emily J. King, Robert F. Bonner. 
Quantification of retinal chromophores through autofluorescence imaging to identify precursors of age-related macular degeneration. 
In: Andrews T., Balan R., Benedetto J., Czaja W., Okoudjou K. (eds)
Excursions in Harmonic Analysis, Volume 2. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston.
DOI: 10.1007/978-0-8176-8379-5_18

Emily J. King. 
Analysis of inpainting via clustered sparsity and microlocal analysis. 
Oberwolfach Reports: Applied Harmonic Analysis and Sparse Approximation, 29 (2012):44-48.

Emily J. King, Gitta Kutyniok, Xiaosheng Zhuang. 
Analysis of data separation and recovery problems using clustered sparsity. 
Proc. SPIE 8138, Wavelets and Sparsity XIV, 813818 (27 September 2011).
DOI: 10.1117/12.892723

Martin Ehler, Julia Dobrosotskaya, Emily J. King, Wojciech Czaja, Robert F. Bonner. 
Modeling photo-bleaching kinetics to map local variations in rod rhodopsin density. 
Proc. SPIE 7963, Medical Imaging 2011: Computer-Aided Diagnosis, 79633R (9 March 2011).
DOI: 10.1117/12.878421

E. Dobrosotskaya, M. Ehler, E. King, R. Bonner, W. Czaja. 
Modeling of the rhodopsin bleaching with variational analysis of retinal images.
Proc. SPIE 7962, Medical Imaging 2011: Image Processing, 79624N (31 May 2011).
DOI: 10.1117/12.878709

Emily J. King. 
Shearlets and representation theory (and the Wick calculus). 
Oberwolfach Reports - Operator Algebras and Representation Theory: Frames, Wavelets and Fractals.

M. Ehler, Z. Majumdar, E. King, E. Dobrosotskaya, E. Chew, W. Wong, D. Cunningham, W. Czaja, R. Bonner. 
High-resolution autofluorescence imaging for mapping molecular processes within the human retina.
In: Herold K.E., Vossoughi J., Bentley W.E. (eds) 
26th Southern Biomedical Engineering Conference SBEC 2010, (April 30 - May 2, 2010) College Park, Maryland, USA. IFMBE Proceedings, vol 31.
Springer, Berlin, Heidelberg.
DOI: 10.1007/978-3-642-14998-6_88

Julia Dobrosotskaya, Martin Ehler, Emily J. King, Robert Bonner, Wojciech Czaja. 
Sparse representation and variational methods in retinal image processing. 
In: Herold K.E., Vossoughi J., Bentley W.E. (eds) 
26th Southern Biomedical Engineering Conference SBEC 2010, (April 30 - May 2, 2010) College Park, Maryland, USA. IFMBE Proceedings, vol 32.
Springer, Berlin, Heidelberg.
DOI: 10.1007/978-3-642-14998-6_92