Mathematical Optimization and Applications in Biomedical Sciences INSTITUTE OF MATHEMATICS AND SCIENTIFIC COMPUTING Artifact-Free JPEG Decompression with Total Generalized Variation Martin Holler and Kristian Bredies Institute for Mathematics and Scientific Computing Karl-Franzens University Graz Supported by FWF Grant F3202-N18
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Artifact-Free JPEG Decompression with Total Generalized ... · Artifact-Free JPEG Decompression with Total Generalized Variation ... JPEG is the most common lossy compression standard
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Mathematical Optimization andApplications in Biomedical Sciences
Mathematical Optimization andApplications in Biomedical Sciences
INSTITUTE OF MATHEMATICSAND SCIENTIFIC COMPUTING
JPEG Compression/Decompression
The JPEG standard:
JPEG is the most common lossy compression standard for digital images.
It allows a high compression rate but leads to artifacts (noise) in the standard reconstruction due to loss ofimage data.
TGV-based reconstruction of JPEG compressed images:
The method uses any given JPEG file to uniquely determine the set of all possible source images.
It then applies the TGV functional to particularly choose one of these possible source images and with thatobtain a highly improved reconstruction. This is realized by an iterative process. The reconstructed imagecan then be displayed or saved to hard disk in higher quality.
bird.jpgStandard Compression
StandardDecompression
TGV-basedDecompression
Original Image JPEG File Reconstruction
Standard reconstruction. TGV-based reconstruction.
Mathematical Optimization andApplications in Biomedical Sciences
INSTITUTE OF MATHEMATICSAND SCIENTIFIC COMPUTING
JPEG Compression/Decompression
The JPEG standard:
JPEG is the most common lossy compression standard for digital images.
It allows a high compression rate but leads to artifacts (noise) in the standard reconstruction due to loss ofimage data.
TGV-based reconstruction of JPEG compressed images:
The method uses any given JPEG file to uniquely determine the set of all possible source images.
It then applies the TGV functional to particularly choose one of these possible source images and with thatobtain a highly improved reconstruction. This is realized by an iterative process. The reconstructed imagecan then be displayed or saved to hard disk in higher quality.
bird.jpgStandard Compression
StandardDecompression
TGV-basedDecompression
Original Image JPEG File Reconstruction
Standard reconstruction. TGV-based reconstruction.
Mathematical Optimization andApplications in Biomedical Sciences
INSTITUTE OF MATHEMATICSAND SCIENTIFIC COMPUTING
JPEG Compression/Decompression
The JPEG standard:
JPEG is the most common lossy compression standard for digital images.
It allows a high compression rate but leads to artifacts (noise) in the standard reconstruction due to loss ofimage data.
TGV-based reconstruction of JPEG compressed images:
The method uses any given JPEG file to uniquely determine the set of all possible source images.
It then applies the TGV functional to particularly choose one of these possible source images and with thatobtain a highly improved reconstruction. This is realized by an iterative process. The reconstructed imagecan then be displayed or saved to hard disk in higher quality.
bird.jpgStandard Compression
StandardDecompression
TGV-basedDecompression
Original Image JPEG File Reconstruction
Standard reconstruction. TGV-based reconstruction.
Standard decompression (Image from http://topbrasilturismo.wordpress.com/)
TGV-based decompression (Image from http://topbrasilturismo.wordpress.com/)
Standard decompression
TGV-based decompression
Mathematical Optimization andApplications in Biomedical Sciences
INSTITUTE OF MATHEMATICSAND SCIENTIFIC COMPUTING
Contact and Patent Information
Scientific contact:
Martin Holler (Developer)Institute for Mathematics and ScientificComputingKarl-Franzens University GrazHeinrichstraße 36, A-8010 GrazPhone:+43 316 380 5156Mail: [email protected]
Kristian Bredies (Developer)Institute for Mathematics and ScientificComputingKarl-Franzens University GrazHeinrichstraße 36, A-8010 GrazPhone: +43 316 380 5158Mail: [email protected]
Business Contact:
Michael Freidl (Business Development)Intellectual Property RightsOffice of Research Management and ServiceKarl-Franzens University GrazUniversitaetsplatz 3, A-8010 GrazPhone: +43 316 380-3994Mail: [email protected]: www.uni-graz.at/de/forschen/fms