A Unified Shape-From-Shading Approach for 3D Surface Reconstruction Using Fast Eikonal Solvers
Object shape reconstruction from images has been an active topic in computer vision. Shape-from-shading (SFS) is an important approach for inferring 3D surface from a single shading image. In this paper, we present a unified SFS approach for surfaces of various reflectance properties using fast eiko...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Optics |
| Online Access: | http://dx.doi.org/10.1155/2020/6156058 |
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| author | Guohui Wang Xuan Zhang Jin Cheng |
| author_facet | Guohui Wang Xuan Zhang Jin Cheng |
| author_sort | Guohui Wang |
| collection | DOAJ |
| description | Object shape reconstruction from images has been an active topic in computer vision. Shape-from-shading (SFS) is an important approach for inferring 3D surface from a single shading image. In this paper, we present a unified SFS approach for surfaces of various reflectance properties using fast eikonal solvers. The whole approach consists of three main components: a unified SFS model, a unified eikonal-type partial differential image irradiance (PDII) equation, and fast eikonal solvers for the PDII equation. The first component is designed to address different reflectance properties including diffuse, specular, and hybrid reflections in the imaging process of the camera. The second component is meant to derive the PDII equation under an orthographic camera projection and a single distant point light source whose direction is the same as the camera. Finally, the last component is targeted at solving the resultant PDII equation by using fast eikonal solvers. It comprises two Godunov-based schemes with fast sweeping method that can handle the eikonal-type PDII equation. Experiments on several synthetic and real images demonstrate that each type of the surfaces can be effectively reconstructed with more accurate results and less CPU running time. |
| format | Article |
| id | doaj-art-577a798b86b944828dd1eda5e69a7fd1 |
| institution | Kabale University |
| issn | 1687-9384 1687-9392 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Optics |
| spelling | doaj-art-577a798b86b944828dd1eda5e69a7fd12025-02-03T06:46:53ZengWileyInternational Journal of Optics1687-93841687-93922020-01-01202010.1155/2020/61560586156058A Unified Shape-From-Shading Approach for 3D Surface Reconstruction Using Fast Eikonal SolversGuohui Wang0Xuan Zhang1Jin Cheng2School of Opto-Electronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaSchool of Opto-Electronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaSchool of Opto-Electronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaObject shape reconstruction from images has been an active topic in computer vision. Shape-from-shading (SFS) is an important approach for inferring 3D surface from a single shading image. In this paper, we present a unified SFS approach for surfaces of various reflectance properties using fast eikonal solvers. The whole approach consists of three main components: a unified SFS model, a unified eikonal-type partial differential image irradiance (PDII) equation, and fast eikonal solvers for the PDII equation. The first component is designed to address different reflectance properties including diffuse, specular, and hybrid reflections in the imaging process of the camera. The second component is meant to derive the PDII equation under an orthographic camera projection and a single distant point light source whose direction is the same as the camera. Finally, the last component is targeted at solving the resultant PDII equation by using fast eikonal solvers. It comprises two Godunov-based schemes with fast sweeping method that can handle the eikonal-type PDII equation. Experiments on several synthetic and real images demonstrate that each type of the surfaces can be effectively reconstructed with more accurate results and less CPU running time.http://dx.doi.org/10.1155/2020/6156058 |
| spellingShingle | Guohui Wang Xuan Zhang Jin Cheng A Unified Shape-From-Shading Approach for 3D Surface Reconstruction Using Fast Eikonal Solvers International Journal of Optics |
| title | A Unified Shape-From-Shading Approach for 3D Surface Reconstruction Using Fast Eikonal Solvers |
| title_full | A Unified Shape-From-Shading Approach for 3D Surface Reconstruction Using Fast Eikonal Solvers |
| title_fullStr | A Unified Shape-From-Shading Approach for 3D Surface Reconstruction Using Fast Eikonal Solvers |
| title_full_unstemmed | A Unified Shape-From-Shading Approach for 3D Surface Reconstruction Using Fast Eikonal Solvers |
| title_short | A Unified Shape-From-Shading Approach for 3D Surface Reconstruction Using Fast Eikonal Solvers |
| title_sort | unified shape from shading approach for 3d surface reconstruction using fast eikonal solvers |
| url | http://dx.doi.org/10.1155/2020/6156058 |
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