Denoising of high resolution small animal 3D PET data using the non-subsampled Haar wavelet transform
PET allows functional imaging of the living tissue. However, one of the most serious technical problems affecting the reconstructed data is the noise, particularly in images of small animals. In this paper, a method for high-resolution small animal 3D PET data is proposed with the aim to reduce the...
Saved in:
| Published in: | Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment Vol. 784; pp. 581 - 584 |
|---|---|
| Main Authors: | , , , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
01-06-2015
|
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | PET allows functional imaging of the living tissue. However, one of the most serious technical problems affecting the reconstructed data is the noise, particularly in images of small animals. In this paper, a method for high-resolution small animal 3D PET data is proposed with the aim to reduce the noise and preserve details. The method is based on the estimation of the non-subsampled Haar wavelet coefficients by using a linear estimator. The procedure is applied to the volumetric images, reconstructed without correction factors (plane reconstruction). Results show that the method preserves the structures and drastically reduces the noise that contaminates the image. |
|---|---|
| AbstractList | PET allows functional imaging of the living tissue. However, one of the most serious technical problems affecting the reconstructed data is the noise, particularly in images of small animals. In this paper, a method for high-resolution small animal 3D PET data is proposed with the aim to reduce the noise and preserve details. The method is based on the estimation of the non-subsampled Haar wavelet coefficients by using a linear estimator. The procedure is applied to the volumetric images, reconstructed without correction factors (plane reconstruction). Results show that the method preserves the structures and drastically reduces the noise that contaminates the image. |
| Author | Máynez, Leticia O. Vergara Villegas, Osslan O. Mejía, José M. Ochoa Domínguez, Humberto de Jesús Mederos, Boris Cruz Sánchez, Vianey G. |
| Author_xml | – sequence: 1 givenname: Humberto de Jesús surname: Ochoa Domínguez fullname: Ochoa Domínguez, Humberto de Jesús email: hochoa@uacj.mx organization: Departamento de Ingeniería Eléctrica y computación, Universidad Autónoma de Ciudad Juárez, Ciudad Juárez, Chih., Mexico – sequence: 2 givenname: Leticia O. surname: Máynez fullname: Máynez, Leticia O. organization: Departamento de Ingeniería Eléctrica y computación, Universidad Autónoma de Ciudad Juárez, Ciudad Juárez, Chih., Mexico – sequence: 3 givenname: Osslan O. surname: Vergara Villegas fullname: Vergara Villegas, Osslan O. organization: Departamento de Ingeniería Industrial, Universidad Autónoma de Ciudad Juárez, Ciudad Juárez, Chih., Mexico – sequence: 4 givenname: Boris surname: Mederos fullname: Mederos, Boris organization: Departamento de Ingeniería Eléctrica y computación, Universidad Autónoma de Ciudad Juárez, Ciudad Juárez, Chih., Mexico – sequence: 5 givenname: José M. surname: Mejía fullname: Mejía, José M. organization: Departamento de Ingeniería Eléctrica y computación, Universidad Autónoma de Ciudad Juárez, Ciudad Juárez, Chih., Mexico – sequence: 6 givenname: Vianey G. surname: Cruz Sánchez fullname: Cruz Sánchez, Vianey G. organization: Departamento de Ingeniería Eléctrica y computación, Universidad Autónoma de Ciudad Juárez, Ciudad Juárez, Chih., Mexico |
| BookMark | eNp9kM1OwzAQhC1UJFrgBTj5BVL80yaxxAW1hSJVgkM5W5t43bpK4spOi3h7HMqZvaw02m80OxMy6nyHhDxwNuWM54-HaedamArGZ1MukqauyJiXhcjUvMhHZJyOykwxJm7IJMYDS6OKckxwiZ130XU76i3du92eBoy-OfXOdzS20DQUBu-GyiX9WG2pgR7o6Zfo90hTkCyeqgjtsUFD1wCBfsEZG-xpH6CL1of2jlxbaCLe_-1b8vmy2i7W2eb99W3xvMlqWbA-AxBSglHMoMRcYFlZEMYaZeeyzpPC1WxWzi3mWEqQVYJkKSoBVcHAFlbeEnHxrYOPMaDVx5Cyh2_NmR6K0gc9PKOHojQXSVMJerpAmJKdHQYda4ddjcYFrHttvPsP_wEY93UO |
| CitedBy_id | crossref_primary_10_1016_j_nima_2017_10_056 crossref_primary_10_1109_TNS_2016_2616364 crossref_primary_10_1007_s11042_018_6269_x |
| Cites_doi | 10.1016/j.nima.2010.09.091 10.1214/aos/1176345632 10.1109/TMI.2013.2292881 10.1109/42.848178 10.1109/TIP.2007.891064 10.1016/j.patrec.2006.01.008 10.1109/TIP.2013.2271852 10.1109/34.192463 |
| ContentType | Journal Article |
| Copyright | 2015 Elsevier B.V. |
| Copyright_xml | – notice: 2015 Elsevier B.V. |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.nima.2014.12.109 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 1872-9576 |
| EndPage | 584 |
| ExternalDocumentID | 10_1016_j_nima_2014_12_109 S016890021500011X |
| GroupedDBID | --K --M -~X .~1 0R~ 123 1B1 1RT 1~. 1~5 4.4 457 4G. 5VS 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAXUO ABMAC ABNEU ABYKQ ACDAQ ACFVG ACGFS ACNCT ACRLP ADBBV ADEZE AEBSH AEKER AFKWA AFTJW AGUBO AGYEJ AHHHB AIEXJ AIKHN AITUG AIVDX AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AXJTR BKOJK BLXMC CS3 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FIRID FNPLU FYGXN G-Q GBLVA IHE J1W KOM LZ4 M41 MO0 N9A O-L O9- OAUVE OGIMB OZT P-8 P-9 PC. Q38 RIG RNS ROL RPZ SDF SDG SDP SES SHN SPC SPCBC SPD SSQ T5K TN5 ~02 ~G- 29N 3O- 53G 6TJ 8WZ A6W AAQXK AAXKI AAYXX ABFNM ABXDB ACNNM ADMUD ADVLN AFJKZ AGHFR ASPBG AVWKF AZFZN CITATION FEDTE FGOYB G-2 HME HVGLF HX~ HZ~ H~9 NCXOZ R2- SEW SSZ VOH WUQ |
| ID | FETCH-LOGICAL-c370t-aa233ad90de3e62e8bfa2dfd9f53c6e62194485fe6e83a3b370382b2ab70af7f3 |
| ISSN | 0168-9002 |
| IngestDate | Fri Nov 22 00:08:30 EST 2024 Fri Feb 23 02:36:36 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Haar wavelet transform PET image denoising Image denoising |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c370t-aa233ad90de3e62e8bfa2dfd9f53c6e62194485fe6e83a3b370382b2ab70af7f3 |
| PageCount | 4 |
| ParticipantIDs | crossref_primary_10_1016_j_nima_2014_12_109 elsevier_sciencedirect_doi_10_1016_j_nima_2014_12_109 |
| PublicationCentury | 2000 |
| PublicationDate | 2015-06-01 |
| PublicationDateYYYYMMDD | 2015-06-01 |
| PublicationDate_xml | – month: 06 year: 2015 text: 2015-06-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment |
| PublicationYear | 2015 |
| Publisher | Elsevier B.V |
| Publisher_xml | – name: Elsevier B.V |
| References | Ochoa, Ortega, Vergara (bib2) 2011; 652 Luisier, Blu, Unser (bib6) 2007; 16 Mallat (bib7) 1989; 2 (7) Qui, Leahy (bib9) 2000; 19 Lefkimmiatis, Unser (bib4) 2013; 22 Soares, Byrne, Glick (bib3) 2000; 19 Stein (bib5) 1981; 9 Chan, Fulton, Barnett, Feng, Meikle (bib1) 2014; 33 Boubchir, Fadili (bib8) 2006; 27 W. James, C. Stein, Estimation with quadratic loss, in: Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, 1961, pp. 361–379. Soares (10.1016/j.nima.2014.12.109_bib3) 2000; 19 Lefkimmiatis (10.1016/j.nima.2014.12.109_bib4) 2013; 22 10.1016/j.nima.2014.12.109_bib10 Chan (10.1016/j.nima.2014.12.109_bib1) 2014; 33 Luisier (10.1016/j.nima.2014.12.109_bib6) 2007; 16 Boubchir (10.1016/j.nima.2014.12.109_bib8) 2006; 27 Stein (10.1016/j.nima.2014.12.109_bib5) 1981; 9 Mallat (10.1016/j.nima.2014.12.109_bib7) 1989; 2 (7) Qui (10.1016/j.nima.2014.12.109_bib9) 2000; 19 Ochoa (10.1016/j.nima.2014.12.109_bib2) 2011; 652 |
| References_xml | – volume: 22 start-page: 4314 year: 2013 end-page: 4327 ident: bib4 article-title: Poisson image reconstruction with hessian schatten-norm regularization publication-title: IEEE Transactions on Image Processing contributor: fullname: Unser – volume: 27 start-page: 1370 year: 2006 end-page: 1382 ident: bib8 article-title: A closed-form nonparametric Bayesian estimator in the wavelet domain of images using an approximate a -stable prior publication-title: Pattern Recognition Letters contributor: fullname: Fadili – volume: 652 start-page: 798 year: 2011 end-page: 801 ident: bib2 article-title: Wavelet-based regularization and edge preservation for submillimetre 3D list-mode reconstruction data from a high resolution small animal PET system publication-title: Nuclear Instruments and Methods in Physics Research Section A contributor: fullname: Vergara – volume: 19 start-page: 261 year: 2000 end-page: 270 ident: bib3 article-title: Noise characterization of block-iterative reconstruction algorithmsi theory publication-title: IEEE Transactions on Medical Imaging contributor: fullname: Glick – volume: 33 start-page: 636 year: 2014 end-page: 650 ident: bib1 article-title: Post reconstruction non-local means filtering of whole-body PET with an anatomical prior publication-title: IEEE Transactions on Medical Imaging contributor: fullname: Meikle – volume: 2 (7) start-page: 674 year: 1989 end-page: 693 ident: bib7 article-title: A theory for multiresolution signal decompositionthe wavelet representation publication-title: IEEE Transactions on Pattern Analysis and Machine Intelligence II contributor: fullname: Mallat – volume: 19 start-page: 799 year: 2000 end-page: 806 ident: bib9 article-title: Resolution and noise properties of MAP reconstruction for fully 3-D PET publication-title: IEEE Transactions on Medical Imaging contributor: fullname: Leahy – volume: 9 start-page: 1135 year: 1981 end-page: 1151 ident: bib5 article-title: Estimation of the mean of a multivariate normal distribution publication-title: Annals of Statistics contributor: fullname: Stein – volume: 16 start-page: 593 year: 2007 end-page: 606 ident: bib6 article-title: A new SURE approach to image denoisinginterscale orthonormal wavelet thresholding publication-title: IEEE Transactions on Image Processing contributor: fullname: Unser – volume: 652 start-page: 798 year: 2011 ident: 10.1016/j.nima.2014.12.109_bib2 article-title: Wavelet-based regularization and edge preservation for submillimetre 3D list-mode reconstruction data from a high resolution small animal PET system publication-title: Nuclear Instruments and Methods in Physics Research Section A doi: 10.1016/j.nima.2010.09.091 contributor: fullname: Ochoa – volume: 9 start-page: 1135 year: 1981 ident: 10.1016/j.nima.2014.12.109_bib5 article-title: Estimation of the mean of a multivariate normal distribution publication-title: Annals of Statistics doi: 10.1214/aos/1176345632 contributor: fullname: Stein – volume: 33 start-page: 636 issue: 3 year: 2014 ident: 10.1016/j.nima.2014.12.109_bib1 article-title: Post reconstruction non-local means filtering of whole-body PET with an anatomical prior publication-title: IEEE Transactions on Medical Imaging doi: 10.1109/TMI.2013.2292881 contributor: fullname: Chan – volume: 19 start-page: 261 issue: April (4) year: 2000 ident: 10.1016/j.nima.2014.12.109_bib3 article-title: Noise characterization of block-iterative reconstruction algorithmsi theory publication-title: IEEE Transactions on Medical Imaging doi: 10.1109/42.848178 contributor: fullname: Soares – volume: 16 start-page: 593 issue: 3 year: 2007 ident: 10.1016/j.nima.2014.12.109_bib6 article-title: A new SURE approach to image denoisinginterscale orthonormal wavelet thresholding publication-title: IEEE Transactions on Image Processing doi: 10.1109/TIP.2007.891064 contributor: fullname: Luisier – ident: 10.1016/j.nima.2014.12.109_bib10 – volume: 27 start-page: 1370 year: 2006 ident: 10.1016/j.nima.2014.12.109_bib8 article-title: A closed-form nonparametric Bayesian estimator in the wavelet domain of images using an approximate a -stable prior publication-title: Pattern Recognition Letters doi: 10.1016/j.patrec.2006.01.008 contributor: fullname: Boubchir – volume: 22 start-page: 4314 issue: 11 year: 2013 ident: 10.1016/j.nima.2014.12.109_bib4 article-title: Poisson image reconstruction with hessian schatten-norm regularization publication-title: IEEE Transactions on Image Processing doi: 10.1109/TIP.2013.2271852 contributor: fullname: Lefkimmiatis – volume: 2 (7) start-page: 674 year: 1989 ident: 10.1016/j.nima.2014.12.109_bib7 article-title: A theory for multiresolution signal decompositionthe wavelet representation publication-title: IEEE Transactions on Pattern Analysis and Machine Intelligence II doi: 10.1109/34.192463 contributor: fullname: Mallat – volume: 19 start-page: 799 issue: 5 year: 2000 ident: 10.1016/j.nima.2014.12.109_bib9 article-title: Resolution and noise properties of MAP reconstruction for fully 3-D PET publication-title: IEEE Transactions on Medical Imaging contributor: fullname: Qui |
| SSID | ssj0000978 |
| Score | 2.206933 |
| Snippet | PET allows functional imaging of the living tissue. However, one of the most serious technical problems affecting the reconstructed data is the noise,... |
| SourceID | crossref elsevier |
| SourceType | Aggregation Database Publisher |
| StartPage | 581 |
| SubjectTerms | Haar wavelet transform Image denoising PET image denoising |
| Title | Denoising of high resolution small animal 3D PET data using the non-subsampled Haar wavelet transform |
| URI | https://dx.doi.org/10.1016/j.nima.2014.12.109 |
| Volume | 784 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3da9swEBdNy2AvY5-s-0IPexMutmXF9mO6ZGRl_YBkJW_mbMslhTpdkzD23-9OZ8fJOsY22IsTZNlWdL_cneTf3Qnx3kU72hi8OEjBiwptvARC8KAPxhRBnkBOC8XxJD6bJcNRNNrrtYUuu7b_KmlsQ1lT5OxfSHtzU2zA7yhzPKLU8fhHch_aejFfNlxmSkascEHdPFEtb-hNNNRz_FR6qC5GU0UcUbVetmFT9aL2lqhNgNIGl2oMcKe-AZWnWFE9CfZyt13aM8qIDI7VvqJMDMSrITxxbWqmqTsw0AuKNsPyxHKJ8oHTTUWBt3fv-x2qXPQnpVFYNQXcSruyXBbIpZZtEIWjs1_X89sd7g5qc8BVwY0jAAzrqzXvkI9d4RP0s0urTlAz4tnjwWY5cep6B99r7vyZAjvnoM6P2g6XlsoBg7qkyMkrjoE7RxcdlWPX6ZTycjBr8XhxN9_ZUAlMR_ziXb57kT688dpHw-D7bDksG4skDr3UcP2a1prESbRlDwzXo2lcC8Pn7lkt3kC5PiLpE9swoh3qwE87G71hTk5oIKnz1Jw7P-uJgxB1LKr4g8Gn0eykc0NSdkPagTcRY0xu_PlJv_bKtjyt6WPxqFkiyQFj-4nYs_VT8eCCMfRM2A3C5aKShHDZIVw6hEtGuNRDiQiXhHDpEC4R4XIX4ZIQLhuEyw3Cn4svH0fTD2OvKRbiFTr2Vx5AqDWUqV9abfuhTfIKwrIq08rooo8tQRpFials3yYadI4X6STMQ8hjH6q40i_EPj7fvhSyNHFQJYUFG0RRVJRJhcuYAjtpiIwP5aFQ7WRlt5wTJmvJktcZ_cCMpjYLQuJ3HArTzmfWeLXsrWYo_t9c9-ofr3stHnaofiP28a9v34resly_ayDyA6Cfx68 |
| link.rule.ids | 315,782,786,27933,27934 |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Denoising+of+high+resolution+small+animal+3D+PET+data+using+the+non-subsampled+Haar+wavelet+transform&rft.jtitle=Nuclear+instruments+%26+methods+in+physics+research.+Section+A%2C+Accelerators%2C+spectrometers%2C+detectors+and+associated+equipment&rft.au=Ochoa+Dom%C3%ADnguez%2C+Humberto+de+Jes%C3%BAs&rft.au=M%C3%A1ynez%2C+Leticia+O.&rft.au=Vergara+Villegas%2C+Osslan+O.&rft.au=Mederos%2C+Boris&rft.date=2015-06-01&rft.pub=Elsevier+B.V&rft.issn=0168-9002&rft.eissn=1872-9576&rft.volume=784&rft.spage=581&rft.epage=584&rft_id=info:doi/10.1016%2Fj.nima.2014.12.109&rft.externalDocID=S016890021500011X |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0168-9002&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0168-9002&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0168-9002&client=summon |