从焦堆重建光场的滤波背投-解卷积法

IF 3.5 2区 工程技术 Q2 OPTICS Optics and Lasers in Engineering Pub Date : 2024-09-16 DOI:10.1016/j.optlaseng.2024.108576
Gangrong Qu , Shan Gao , Duo Liu
{"title":"从焦堆重建光场的滤波背投-解卷积法","authors":"Gangrong Qu ,&nbsp;Shan Gao ,&nbsp;Duo Liu","doi":"10.1016/j.optlaseng.2024.108576","DOIUrl":null,"url":null,"abstract":"<div><p>In the simplification, a light field is a four-dimensional (4D) function, and light field reconstruction aims to recover this 4D function from a three-dimensional (3D) focal stack, so it is a seriously ill-posed reconstruction problem from incomplete projection data. Based on the known 3D data of the focal stack in the frequency domain, we introduce a 3D assumption for the light field and derive an analytical reconstruction formula of the light field with an infinite depth range <em>ρ</em>. Subsequently, we establish the filtered back projection (FBP) algorithm to reconstruct the light field from the focal stack. Under certain assumptions concerning the light field and window functions, we prove the convergence of our proposed method at any continuous point. Since in actual data sampling scenarios, the light field is reconstructed only by a small number of focal stacks, a deconvolution algorithm is introduced based on the FBP algorithm to further enhance quality, which is called the filtered back projection-deconvolution (FBP-D) method. Our experimental results demonstrate the superiority of the proposed algorithm compared to the FBP method and other existing methods. Notably, the algorithm exhibits enhanced performance when employing a smooth boundary window and a larger depth range <em>ρ</em>.</p></div>","PeriodicalId":49719,"journal":{"name":"Optics and Lasers in Engineering","volume":"184 ","pages":"Article 108576"},"PeriodicalIF":3.5000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Filtered back projection-deconvolution method for light field reconstruction from the focal stack\",\"authors\":\"Gangrong Qu ,&nbsp;Shan Gao ,&nbsp;Duo Liu\",\"doi\":\"10.1016/j.optlaseng.2024.108576\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In the simplification, a light field is a four-dimensional (4D) function, and light field reconstruction aims to recover this 4D function from a three-dimensional (3D) focal stack, so it is a seriously ill-posed reconstruction problem from incomplete projection data. Based on the known 3D data of the focal stack in the frequency domain, we introduce a 3D assumption for the light field and derive an analytical reconstruction formula of the light field with an infinite depth range <em>ρ</em>. Subsequently, we establish the filtered back projection (FBP) algorithm to reconstruct the light field from the focal stack. Under certain assumptions concerning the light field and window functions, we prove the convergence of our proposed method at any continuous point. Since in actual data sampling scenarios, the light field is reconstructed only by a small number of focal stacks, a deconvolution algorithm is introduced based on the FBP algorithm to further enhance quality, which is called the filtered back projection-deconvolution (FBP-D) method. Our experimental results demonstrate the superiority of the proposed algorithm compared to the FBP method and other existing methods. Notably, the algorithm exhibits enhanced performance when employing a smooth boundary window and a larger depth range <em>ρ</em>.</p></div>\",\"PeriodicalId\":49719,\"journal\":{\"name\":\"Optics and Lasers in Engineering\",\"volume\":\"184 \",\"pages\":\"Article 108576\"},\"PeriodicalIF\":3.5000,\"publicationDate\":\"2024-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optics and Lasers in Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0143816624005542\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optics and Lasers in Engineering","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0143816624005542","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0

摘要

在简化过程中,光场是一个四维(4D)函数,而光场重构的目的是从三维(3D)焦堆中恢复这个 4D 函数,因此这是一个从不全投影数据中进行重构的严重问题。基于频域中已知的三维焦堆数据,我们引入了光场的三维假设,并推导出无限深度范围 ρ 的光场解析重建公式。在光场和窗口函数的某些假设条件下,我们证明了我们提出的方法在任何连续点上的收敛性。由于在实际数据采样场景中,光场仅由少量焦堆重建,因此我们在 FBP 算法的基础上引入了一种解卷积算法,以进一步提高质量,这种算法被称为滤波背投-解卷积(FBP-D)方法。我们的实验结果表明,与 FBP 方法和其他现有方法相比,所提出的算法更具优势。值得注意的是,该算法在采用平滑边界窗口和更大深度范围 ρ 时表现出更强的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Filtered back projection-deconvolution method for light field reconstruction from the focal stack

In the simplification, a light field is a four-dimensional (4D) function, and light field reconstruction aims to recover this 4D function from a three-dimensional (3D) focal stack, so it is a seriously ill-posed reconstruction problem from incomplete projection data. Based on the known 3D data of the focal stack in the frequency domain, we introduce a 3D assumption for the light field and derive an analytical reconstruction formula of the light field with an infinite depth range ρ. Subsequently, we establish the filtered back projection (FBP) algorithm to reconstruct the light field from the focal stack. Under certain assumptions concerning the light field and window functions, we prove the convergence of our proposed method at any continuous point. Since in actual data sampling scenarios, the light field is reconstructed only by a small number of focal stacks, a deconvolution algorithm is introduced based on the FBP algorithm to further enhance quality, which is called the filtered back projection-deconvolution (FBP-D) method. Our experimental results demonstrate the superiority of the proposed algorithm compared to the FBP method and other existing methods. Notably, the algorithm exhibits enhanced performance when employing a smooth boundary window and a larger depth range ρ.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Optics and Lasers in Engineering
Optics and Lasers in Engineering 工程技术-光学
CiteScore
8.90
自引率
8.70%
发文量
384
审稿时长
42 days
期刊介绍: Optics and Lasers in Engineering aims at providing an international forum for the interchange of information on the development of optical techniques and laser technology in engineering. Emphasis is placed on contributions targeted at the practical use of methods and devices, the development and enhancement of solutions and new theoretical concepts for experimental methods. Optics and Lasers in Engineering reflects the main areas in which optical methods are being used and developed for an engineering environment. Manuscripts should offer clear evidence of novelty and significance. Papers focusing on parameter optimization or computational issues are not suitable. Similarly, papers focussed on an application rather than the optical method fall outside the journal''s scope. The scope of the journal is defined to include the following: -Optical Metrology- Optical Methods for 3D visualization and virtual engineering- Optical Techniques for Microsystems- Imaging, Microscopy and Adaptive Optics- Computational Imaging- Laser methods in manufacturing- Integrated optical and photonic sensors- Optics and Photonics in Life Science- Hyperspectral and spectroscopic methods- Infrared and Terahertz techniques
期刊最新文献
Multifunctional processor based on cascaded switchable polarization-multiplexed metasurface Double spiral phase filter digital in-line holography for particle field recording and tracking Femtosecond laser processing with aberration correction based on Shack-Hartmann wavefront sensor Efficient point cloud occlusion method for ultra wide-angle computer-generated holograms In-situ full-wafer metrology via coupled white light and monochromatic stroboscopic illumination
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1