According to rice ' s idea , rice condition numbers for these subspaces are defined by applying perturbation expansions of orthogonal projection operators . the expressions of the rice condition numbers and the first - order perturbation estimations for these subspaces are derived . compared with sun ' s approach , the rice condition numbers are independent of the choices of basis 在子空间基底扰动展开的基础上，基于rice的想法，运用正交投影算子与空间基底选取无关的特性，改进了前人所定义的子空间和子空间对的条件数，并得到了这些rice条件数的具体表达式。
In this thesis , motion estimation and compensation , the key technology of video coding , are investigated . its specific work includes : making analysis on the video motion models , deducing the parametric model which describes the orthographic projection of 3 - d rigid motion of a surface to the 2 - d image plane 本文对视频压缩编码中的关键技术? ?运动估计和补偿方法进行了研究,内容包括:对视频运动模型进行分析,推导了三维刚体经摄像机正交投影到二维空间后的运动场参数模型。
