Analysis of the weighted conical Radon transform
In this article, we consider the weighted conical Radon transform—the transform is motivated by Compton camera imaging as well as optical tomography. Our contribution involves introducing new inversion formulas for the weighted conical Radon transform, including explicit formulas and properties asso...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2024-01-01
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| Series: | Journal of Physics Communications |
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| Online Access: | https://doi.org/10.1088/2399-6528/ad2b8d |
| _version_ | 1827307696020258816 |
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| author | Nguyen Ngoc Duy |
| author_facet | Nguyen Ngoc Duy |
| author_sort | Nguyen Ngoc Duy |
| collection | DOAJ |
| description | In this article, we consider the weighted conical Radon transform—the transform is motivated by Compton camera imaging as well as optical tomography. Our contribution involves introducing new inversion formulas for the weighted conical Radon transform, including explicit formulas and properties associated with convolution frames. Furthermore, we propose reconstruction formulas that solve for variety weighted parameters in the two-dimensional space. |
| first_indexed | 2024-04-24T18:45:00Z |
| format | Article |
| id | doaj.art-30632bf6817247cd86e855ca2c8484ce |
| institution | Directory Open Access Journal |
| issn | 2399-6528 |
| language | English |
| last_indexed | 2024-04-24T18:45:00Z |
| publishDate | 2024-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Journal of Physics Communications |
| spelling | doaj.art-30632bf6817247cd86e855ca2c8484ce2024-03-27T07:06:36ZengIOP PublishingJournal of Physics Communications2399-65282024-01-018303500410.1088/2399-6528/ad2b8dAnalysis of the weighted conical Radon transformNguyen Ngoc Duy0https://orcid.org/0009-0007-7977-1826High School for the Gifted, Ho Chi Minh City, Vietnam; Vietnam National University , Ho Chi Minh City, VietnamIn this article, we consider the weighted conical Radon transform—the transform is motivated by Compton camera imaging as well as optical tomography. Our contribution involves introducing new inversion formulas for the weighted conical Radon transform, including explicit formulas and properties associated with convolution frames. Furthermore, we propose reconstruction formulas that solve for variety weighted parameters in the two-dimensional space.https://doi.org/10.1088/2399-6528/ad2b8dtomographyweighted conical Radon transformv-line Radon transformintegral geometrymedical imageconvolution frame |
| spellingShingle | Nguyen Ngoc Duy Analysis of the weighted conical Radon transform Journal of Physics Communications tomography weighted conical Radon transform v-line Radon transform integral geometry medical image convolution frame |
| title | Analysis of the weighted conical Radon transform |
| title_full | Analysis of the weighted conical Radon transform |
| title_fullStr | Analysis of the weighted conical Radon transform |
| title_full_unstemmed | Analysis of the weighted conical Radon transform |
| title_short | Analysis of the weighted conical Radon transform |
| title_sort | analysis of the weighted conical radon transform |
| topic | tomography weighted conical Radon transform v-line Radon transform integral geometry medical image convolution frame |
| url | https://doi.org/10.1088/2399-6528/ad2b8d |
| work_keys_str_mv | AT nguyenngocduy analysisoftheweightedconicalradontransform |