Affine shear tight frames with two-layer structure

Zhihua Che; Xiaosheng Zhuang

doi:10.1117/12.2272398

Affine shear tight frames with two-layer structure

Zhihua Che^*
, Xiaosheng Zhuang

^*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

Abstract

Affine shear tight frames with 2-layer structure in arbitrary dimensions are constructed. Affine shear filter banks with 2-layer structure associated with affine shear tight frames with 2-layer structure are designed and show to be with the perfect reconstruction property. The redundancy rate and computational complexity of affine shear filter banks are discussed. Applications to video denoising are conducted to demonstrate the effectiveness of the affine shear filter banks with 2-layer structure.

Original language	English
Title of host publication	Proceedings of SPIE - Wavelets and Sparsity XVII
Editors	Yue M. Lu, Dimitri Van De Ville, Manos Papadakis
Publisher	SPIE
Volume	10394
ISBN (Print)	9781510612457
DOIs	https://doi.org/10.1117/12.2272398
Publication status	Published - Aug 2017
Event	Wavelets and Sparsity XVII 2017 - San Diego, United States Duration: 6 Aug 2017 → 9 Aug 2017 https://spie.org/OP17O/conferencedetails/wavelets-sparsity https://spie.org/Publications/Proceedings/Paper/10.1117/12.2272398

Conference

Conference	Wavelets and Sparsity XVII 2017
Place	United States
City	San Diego
Period	6/08/17 → 9/08/17
Internet address	https://spie.org/OP17O/conferencedetails/wavelets-sparsity https://spie.org/Publications/Proceedings/Paper/10.1117/12.2272398

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10.1117/12.2272398

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@inproceedings{ac1c1f6bfae24b3ca4455adb64a57eda,

title = "Affine shear tight frames with two-layer structure",

abstract = "Affine shear tight frames with 2-layer structure in arbitrary dimensions are constructed. Affine shear filter banks with 2-layer structure associated with affine shear tight frames with 2-layer structure are designed and show to be with the perfect reconstruction property. The redundancy rate and computational complexity of affine shear filter banks are discussed. Applications to video denoising are conducted to demonstrate the effectiveness of the affine shear filter banks with 2-layer structure.",

author = "Zhihua Che and Xiaosheng Zhuang",

year = "2017",

month = aug,

doi = "10.1117/12.2272398",

language = "English",

isbn = "9781510612457",

volume = "10394",

editor = "Lu, \{Yue M. \} and \{Van De Ville\}, \{Dimitri \} and Papadakis, \{Manos \}",

booktitle = "Proceedings of SPIE - Wavelets and Sparsity XVII",

publisher = "SPIE",

address = "United States",

note = "Wavelets and Sparsity XVII 2017 ; Conference date: 06-08-2017 Through 09-08-2017",

url = "https://spie.org/OP17O/conferencedetails/wavelets-sparsity, https://spie.org/Publications/Proceedings/Paper/10.1117/12.2272398",

}

Affine shear tight frames with two-layer structure. / Che, Zhihua ; Zhuang, Xiaosheng.
Proceedings of SPIE - Wavelets and Sparsity XVII. ed. / Yue M. Lu; Dimitri Van De Ville; Manos Papadakis. Vol. 10394 SPIE, 2017. 1039422.

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

TY - GEN

T1 - Affine shear tight frames with two-layer structure

AU - Che, Zhihua

AU - Zhuang, Xiaosheng

PY - 2017/8

Y1 - 2017/8

N2 - Affine shear tight frames with 2-layer structure in arbitrary dimensions are constructed. Affine shear filter banks with 2-layer structure associated with affine shear tight frames with 2-layer structure are designed and show to be with the perfect reconstruction property. The redundancy rate and computational complexity of affine shear filter banks are discussed. Applications to video denoising are conducted to demonstrate the effectiveness of the affine shear filter banks with 2-layer structure.

AB - Affine shear tight frames with 2-layer structure in arbitrary dimensions are constructed. Affine shear filter banks with 2-layer structure associated with affine shear tight frames with 2-layer structure are designed and show to be with the perfect reconstruction property. The redundancy rate and computational complexity of affine shear filter banks are discussed. Applications to video denoising are conducted to demonstrate the effectiveness of the affine shear filter banks with 2-layer structure.

UR - https://www.scopus.com/pages/publications/85033564017

UR - https://www.scopus.com/pages/publications/85033564017#tab=impact

U2 - 10.1117/12.2272398

DO - 10.1117/12.2272398

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

SN - 9781510612457

VL - 10394

BT - Proceedings of SPIE - Wavelets and Sparsity XVII

A2 - Lu, Yue M.

A2 - Van De Ville, Dimitri

A2 - Papadakis, Manos

PB - SPIE

T2 - Wavelets and Sparsity XVII 2017

Y2 - 6 August 2017 through 9 August 2017

ER -

Affine shear tight frames with two-layer structure

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GRF: On the Design and Applications of Multidimensional Subdivision Schemes and Directional FIR Filter Banks

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Affine shear tight frames with two-layer structure

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Conference

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GRF: On the Design and Applications of Multidimensional Subdivision Schemes and Directional FIR Filter Banks

Cite this