Multi-dimensional Systems Design and Implementation

多维系统设计与实现

• 批准号: RGPIN-2020-06047
• 负责人: Agathoklis, Panajotis
• 金额: $ 2.4万
• 依托单位: University of Victoria
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2022
• 资助国家: 加拿大
• 起止时间: 2022-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=752014
• 关键词: Multi; dimensional; Systems; Design; Implementation

Multi-dimensional (MD) systems are used to process signals which have more than one independent variable. These variables can be temporal or spatial, continuous or discrete. As such multidimensional systems encompass a large variety of dynamic systems based on partial differential, partial difference and differential-difference equations. Some of the most important applications of MD systems include image, video, light field processing as well as processing of broadband signals carried by plane waves. This research proposal deals with the development of new design and implementation techniques of MD systems to address problems in the above application areas. In the area of light field image processing, new techniques for depth filtering, refocusing occlusion suppression and image based rendering will be developed. The work on processing of light field videos will deal with depth-velocity filtering and denoising. The approach used here will be based on analyzing the light field images and video in the 4D and 5D frequency domain. This will allow carrying out the design by extending design methods developed for 2D and 3D systems. This is expected to lead to techniques which will be considerably more computationally efficient than current state of the art light field processing methods. Another emerging application is light field is editing. This will be addressed here with a new method which is based on editing in the gradient domain instead of the intensity domain. The work will focus on the reconstruction of light field images/video from gradient data obtained from processing in the gradient domain. The approach will be wavelet based, multiresolution which will further allow the use of iterative Poisson solvers at each resolution to improve smoothness. In the area of broadband beamforming, new techniques and efficient implementations of MD filters will be developed for applications such as communications, radio astronomy etc. The challenge in this area is to develop design techniques for systems with high angular selectivity over a wide range of temporal frequencies and which at the same time can be implemented efficiently. Since signals which have more than one independent variable are central to many applications, the proposed research is expected to lead to important and novel results for several applications areas. In particular, the work on light field image and video processing will have provide new methods to deal with important emerging applications. The work on broadband beamforming, will open new possibilities for fast and computationally efficient methods of implementations in various applications.

多维（MD）系统用于处理具有多于一个独立变量的信号。这些变量可以是时间或空间的，连续或离散的。因此，多维系统包含基于偏微分、偏差分和微分-差分方程的各种各样的动态系统。MD系统的一些最重要的应用包括图像、视频、光场处理以及处理由平面波携带的宽带信号。 本研究建议涉及MD系统的新设计和实现技术的发展，以解决上述应用领域中的问题。 在光场图像处理领域，将开发深度滤波、重聚焦遮挡抑制和基于图像的绘制等新技术。处理光场视频的工作将涉及深度-速度滤波和去噪。这里使用的方法将基于在4D和5D频域中分析光场图像和视频。这将允许通过扩展为2D和3D系统开发的设计方法来进行设计。预期这将导致比现有技术的光场处理方法在计算上更加有效的技术。 另一个新兴的应用是光场编辑。这将在这里解决一个新的方法，是基于编辑的梯度域，而不是强度域。该工作将重点关注根据梯度域处理获得的梯度数据重建光场图像/视频。该方法将小波为基础，多分辨率，这将进一步允许使用迭代泊松求解器在每个分辨率，以提高平滑度。 在宽带波束形成领域，新技术和有效的MD滤波器的实现将被开发的应用，如通信，射电天文学等，在这一领域的挑战是开发设计技术的系统具有高角度的选择性在很宽的时间频率范围内，并在同一时间可以有效地实施。 由于具有多个独立变量的信号是许多应用的核心，因此预计所提出的研究将在多个应用领域产生重要和新颖的结果。特别是，光场图像和视频处理的工作将提供新的方法来处理重要的新兴应用。宽带波束形成的工作，将打开新的可能性，快速和计算效率的方法，在各种应用中的实现。