面向真实感绘制的光场低秩性及其应用研究

项目名称： 面向真实感绘制的光场低秩性及其应用研究

项目编号： No.61472350

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 计算机科学学科

项目作者： 王锐

作者单位： 浙江大学

项目金额： 80万元

中文摘要： 快速高效的真实感绘制一直是图形学的重要目标之一。本项目主要针对真实感绘制中光场的低秩性及其在绘制算法中的应用开展研究，旨在通过充分挖掘绘制光场光线本身的连续性与冗余性，利用当前在数据分析领域发展出的基于凸优化的低秩矩阵填充等方法，在对光场光线少量采样的情况下，实现快速的真实感绘制。本项目计划围绕如下几方面开展工作：首先研究面向真实感绘制光场的参数化与矩阵表示、低秩性分析等相关理论，为后续研究奠定理论基础；其次，基于低秩矩阵填充，研究针对低秩光场的采样、填充与积分方法，实现低采样率下的快速光场绘制；再次，计划以基于视觉感知的真实性为依据，采用用户调查的方法对本项目提出的低秩光场理论与光场填充方法进行分析与验证；最后，构建基于光场低秩性的快速绘制框架。通过本项目的研究，将为面向真实感绘制的光场数据计算与使用提供理论与分析，并为实现高效率、高逼真度的绘制技术的研发提供理论参考与数据支撑。

中文关键词： 真实感绘制；图形学；低秩矩阵填充

英文摘要： Efficiently rendering the richness of our visual world is a central goal of computer graphics. However, fast and realistic rendering is still a challenging task so far. Motivated by the observation that there exist correlations and coherences among rays used in photorealistic rendering, we propose research to exploit and utilize the low-rank properties of these light fields. Recently, low-rank analysis and matrix recovery techniques have been widely studied in data mining and machine learning. In our research, we plan to adapt low-rank matrix completion, one of matrix rank minimization techniques, in the rendering research and develop new fast and efficient rendering algorithms. Our research will be taken as following steps. First, we plan to explore the parameterization and matrix representation of light fields, and carry out theoretical analysis on the low-rank property of light field. The first step is the foundation of our entire research and provides fundamental theoretical support for new rendering algorithms. Second, based on those low-rank matrix completion methods, we will develop new light field sampling, completion and integration algorithms so as to achieve efficient rendering under low sampling rate. Third, we will use perceptional criteria to validate our studies in rank analysis of light field. User study will be the tool to bridge the perceptional errors and the rank criteria. Finally, based on these progresses, we will develop a new rendering architecture for the low-rank light field. Our research will provide new theoretical analysis and algorithms for photorealistic rendering and move the entire rendering research forward.

英文关键词： Photorealistic Rendering;Computer Graphics;Low-rank Matrix Completion