A Non-convex Nonseparable Approach to Single-Molecule Localization Microscopy

Raymond H. Chan; Damiana Lazzaro; Serena Morigi; Fiorella Sgallari

doi:10.1007/978-3-030-22368-7_39

A Non-convex Nonseparable Approach to Single-Molecule Localization Microscopy

Raymond H. Chan
, Damiana Lazzaro
, Serena Morigi^*
, Fiorella Sgallari

^*Corresponding author for this work

Department of Mathematics

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

1 Citation (Scopus)

Abstract

We present a method for high-density super-resolution microscopy which integrates a sparsity-promoting penalty and a blur kernel correction into a nonsmooth, non-convex, nonseparable variational formulation. An efficient majorization minimization strategy is applied to reduce the challenging optimization problem to the solution of a series of easier convex problems.

Original language	English
Title of host publication	Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Proceedings
Editors	Jan Lellmann , Martin Burger, Jan Modersitzki
Publisher	Springer, Cham
Pages	498-509
Number of pages	12
Volume	11603 LNCS
ISBN (Electronic)	978-3-030-22368-7
ISBN (Print)	978-3-030-22367-0
DOIs	https://doi.org/10.1007/978-3-030-22368-7_39
Publication status	Published - Jun 2019
Event	7th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2019) - Conference Center Hofgeismar, Hofgeismar, Germany Duration: 30 Jun 2019 → 4 Jul 2019 http://ssvm2019.mic.uni-luebeck.de/

Publication series

Name	Lecture Notes in Computer Scienc
Volume	11603
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	7th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2019)
Abbreviated title	SSVM2019
Place	Germany
City	Hofgeismar
Period	30/06/19 → 4/07/19
Internet address	http://ssvm2019.mic.uni-luebeck.de/

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Chan, R. H., Lazzaro, D., Morigi, S., & Sgallari, F. (2019). A Non-convex Nonseparable Approach to Single-Molecule Localization Microscopy. In J. Lellmann , M. Burger, & J. Modersitzki (Eds.), Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Proceedings (Vol. 11603 LNCS, pp. 498-509). (Lecture Notes in Computer Scienc; Vol. 11603). Springer, Cham. https://doi.org/10.1007/978-3-030-22368-7_39

Chan, Raymond H. ; Lazzaro, Damiana ; Morigi, Serena et al. / A Non-convex Nonseparable Approach to Single-Molecule Localization Microscopy. Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Proceedings. editor / Jan Lellmann ; Martin Burger ; Jan Modersitzki. Vol. 11603 LNCS Springer, Cham, 2019. pp. 498-509 (Lecture Notes in Computer Scienc).

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title = "A Non-convex Nonseparable Approach to Single-Molecule Localization Microscopy",

abstract = "We present a method for high-density super-resolution microscopy which integrates a sparsity-promoting penalty and a blur kernel correction into a nonsmooth, non-convex, nonseparable variational formulation. An efficient majorization minimization strategy is applied to reduce the challenging optimization problem to the solution of a series of easier convex problems.",

author = "Chan, \{Raymond H.\} and Damiana Lazzaro and Serena Morigi and Fiorella Sgallari",

year = "2019",

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doi = "10.1007/978-3-030-22368-7\_39",

language = "English",

isbn = "978-3-030-22367-0",

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booktitle = "Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Proceedings",

note = "7th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2019) , SSVM2019 ; Conference date: 30-06-2019 Through 04-07-2019",

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Chan, RH, Lazzaro, D, Morigi, S & Sgallari, F 2019, A Non-convex Nonseparable Approach to Single-Molecule Localization Microscopy. in J Lellmann , M Burger & J Modersitzki (eds), Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Proceedings. vol. 11603 LNCS, Lecture Notes in Computer Scienc, vol. 11603, Springer, Cham, pp. 498-509, 7th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2019) , Hofgeismar, Germany, 30/06/19. https://doi.org/10.1007/978-3-030-22368-7_39

A Non-convex Nonseparable Approach to Single-Molecule Localization Microscopy. / Chan, Raymond H.; Lazzaro, Damiana; Morigi, Serena et al.
Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Proceedings. ed. / Jan Lellmann ; Martin Burger; Jan Modersitzki. Vol. 11603 LNCS Springer, Cham, 2019. p. 498-509 (Lecture Notes in Computer Scienc; Vol. 11603).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

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AU - Chan, Raymond H.

AU - Lazzaro, Damiana

AU - Morigi, Serena

AU - Sgallari, Fiorella

PY - 2019/6

Y1 - 2019/6

N2 - We present a method for high-density super-resolution microscopy which integrates a sparsity-promoting penalty and a blur kernel correction into a nonsmooth, non-convex, nonseparable variational formulation. An efficient majorization minimization strategy is applied to reduce the challenging optimization problem to the solution of a series of easier convex problems.

AB - We present a method for high-density super-resolution microscopy which integrates a sparsity-promoting penalty and a blur kernel correction into a nonsmooth, non-convex, nonseparable variational formulation. An efficient majorization minimization strategy is applied to reduce the challenging optimization problem to the solution of a series of easier convex problems.

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U2 - 10.1007/978-3-030-22368-7_39

DO - 10.1007/978-3-030-22368-7_39

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 978-3-030-22367-0

VL - 11603 LNCS

T3 - Lecture Notes in Computer Scienc

SP - 498

EP - 509

BT - Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Proceedings

A2 - Lellmann , Jan

A2 - Burger, Martin

A2 - Modersitzki, Jan

PB - Springer, Cham

T2 - 7th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2019)

Y2 - 30 June 2019 through 4 July 2019

ER -

Chan RH, Lazzaro D, Morigi S, Sgallari F. A Non-convex Nonseparable Approach to Single-Molecule Localization Microscopy. In Lellmann J, Burger M, Modersitzki J, editors, Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Proceedings. Vol. 11603 LNCS. Springer, Cham. 2019. p. 498-509. (Lecture Notes in Computer Scienc). Epub 2019 Jun 5. doi: 10.1007/978-3-030-22368-7_39

A Non-convex Nonseparable Approach to Single-Molecule Localization Microscopy

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