Multidimensional System Design and Implementation

多维系统设计与实现

• 批准号: RGPIN-2014-06629
• 负责人: Agathoklis, Panajotis
• 金额: $ 1.82万
• 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: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=637463
• 关键词: Multidimensional; System; 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 dynamical systems based on partial difference, partial difference and differential-difference equations. Some of the most important applications of MD systems include image, video and 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 processing, new techniques for depth filtering, refocusing and image based rendering will be developed using a 4D representation of light fields. This approach will allow carrying out the design in the 4D frequency domain and using 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. In the area of image and video processing, the work will focus on the reconstruction of images/video from gradient data obtained either from processing in the gradient domain or from measurements like the Shack-Hartmann wavefront sensor. The approach will be wavelet based, multiresolution which will further allow the use of Poisson solvers at each resolution to improve accuracy. Video editing, vision-realistic rendering will be some of the applications to be considered. In the area of broadband beamforming, new techniques and efficient implementations of MD filters will be developed for applications such as communications and radio astronomy. 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 broadband beamforming, video processing and light field processing will open new possibilities for fast and computationally efficient methods in these fast evolving research areas.

多维 (MD) 系统用于处理具有多个自变量的信号。这些变量可以是时间的或空间的、连续的或离散的。因此，此类多维系统包含多种基于偏差分、偏差分和微分方程的动力系统。 MD系统的一些最重要的应用包括图像、视频和光场处理以及平面波承载的宽带信号的处理。本研究提案涉及 MD 系统新设计和实现技术的开发，以解决上述应用领域的问题。在光场处理领域，将使用光场的 4D 表示来开发深度过滤、重新聚焦和基于图像的渲染的新技术。这种方法将允许在 4D 频域中进行设计，并使用为 2D 和 3D 系统开发的设计方法。预计这将带来比当前最先进的光场处理方法计算效率更高的技术。在图像和视频处理领域，工作重点是从梯度域处理或 Shack-Hartmann 波前传感器等测量获得的梯度数据重建图像/视频。该方法将是基于小波的多分辨率，这将进一步允许在每个分辨率下使用泊松解算器来提高精度。视频编辑、视觉逼真渲染将是需要考虑的一些应用。在宽带波束形成领域，将为通信和射电天文学等应用开发MD滤波器的新技术和高效实现。该领域的挑战是开发在宽时间频率范围内具有高角度选择性的系统设计技术，同时可以有效地实现。由于具有多个自变量的信号是许多应用的核心，因此这项研究预计将为多个应用领域带来重要且新颖的结果。特别是宽带波束形成、视频处理和光场处理方面的工作将为这些快速发展的研究领域中快速且计算高效的方法开辟新的可能性。