Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated Holograms
We present a fast 3D analytical affine transformation (F3DAAT) method to obtain polygon-based computer-generated holograms (CGHs). CGHs consisting of tens of thousands of triangles from 3D objects are obtained by this method. We have attempted a revised method based on previous 3D affine transformat...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/14/6873 |
| _version_ | 1797433861979766784 |
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| author | Houxin Fan Bing Zhang Yaping Zhang Fan Wang Wenlong Qin Qingyang Fu Ting-Chung Poon |
| author_facet | Houxin Fan Bing Zhang Yaping Zhang Fan Wang Wenlong Qin Qingyang Fu Ting-Chung Poon |
| author_sort | Houxin Fan |
| collection | DOAJ |
| description | We present a fast 3D analytical affine transformation (F3DAAT) method to obtain polygon-based computer-generated holograms (CGHs). CGHs consisting of tens of thousands of triangles from 3D objects are obtained by this method. We have attempted a revised method based on previous 3D affine transformation methods. In order to improve computational efficiency, we have derived and analyzed our proposed affine transformation matrix. We show that we have further increased the computational efficiency compared with previous affine methods. We also have added flat shading to improve the reconstructed image quality. A 3D object from a 3D camera is reconstructed holographically by numerical and optical experiments. |
| first_indexed | 2024-03-09T10:22:57Z |
| format | Article |
| id | doaj.art-219ba9f841d74ebdb6f03f029026c762 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T10:22:57Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-219ba9f841d74ebdb6f03f029026c7622023-12-01T21:50:32ZengMDPI AGApplied Sciences2076-34172022-07-011214687310.3390/app12146873Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated HologramsHouxin Fan0Bing Zhang1Yaping Zhang2Fan Wang3Wenlong Qin4Qingyang Fu5Ting-Chung Poon6Yunnan Provincial Key Laboratory of Modern Information Optics, Kunming University of Science and Technology, Kunming 650500, ChinaYunnan Provincial Key Laboratory of Modern Information Optics, Kunming University of Science and Technology, Kunming 650500, ChinaYunnan Provincial Key Laboratory of Modern Information Optics, Kunming University of Science and Technology, Kunming 650500, ChinaYunnan Provincial Key Laboratory of Modern Information Optics, Kunming University of Science and Technology, Kunming 650500, ChinaYunnan Provincial Key Laboratory of Modern Information Optics, Kunming University of Science and Technology, Kunming 650500, ChinaYunnan Provincial Key Laboratory of Modern Information Optics, Kunming University of Science and Technology, Kunming 650500, ChinaBradley Department of Electrical and Computer Engineering, Virginia Tech, Blacksburg, VA 24061, USAWe present a fast 3D analytical affine transformation (F3DAAT) method to obtain polygon-based computer-generated holograms (CGHs). CGHs consisting of tens of thousands of triangles from 3D objects are obtained by this method. We have attempted a revised method based on previous 3D affine transformation methods. In order to improve computational efficiency, we have derived and analyzed our proposed affine transformation matrix. We show that we have further increased the computational efficiency compared with previous affine methods. We also have added flat shading to improve the reconstructed image quality. A 3D object from a 3D camera is reconstructed holographically by numerical and optical experiments.https://www.mdpi.com/2076-3417/12/14/6873CGHpolygon-based methodaffine transformation3D display |
| spellingShingle | Houxin Fan Bing Zhang Yaping Zhang Fan Wang Wenlong Qin Qingyang Fu Ting-Chung Poon Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated Holograms Applied Sciences CGH polygon-based method affine transformation 3D display |
| title | Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated Holograms |
| title_full | Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated Holograms |
| title_fullStr | Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated Holograms |
| title_full_unstemmed | Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated Holograms |
| title_short | Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated Holograms |
| title_sort | fast 3d analytical affine transformation for polygon based computer generated holograms |
| topic | CGH polygon-based method affine transformation 3D display |
| url | https://www.mdpi.com/2076-3417/12/14/6873 |
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