The main work and innovations are listed as following:1. A 3D total variation-based video repair method is presented.
本文通过从不同角度分析人类视觉的认知规律,对视频修复技术及其应用进行了深入的研究,主要工作和创新有：1.提出一种基于3D整体变分的视频修复方法。
参考来源 - 数字视频的修复方法研究Lyapunov exponent for discrete and continuous dynamic systems are investigated, and an effective criteria for determining chaos based on computing the largest Lyapunov exponent using variation method is proposed.
研究了离散动力系统和连续动力系统的Lyapunov指数，提出了定量识别混沌的新方法：计算最大Lvapunov指数的变分法，为判定混沌是否存在提供了有效方法。
参考来源 - 机构学及优化设计中基于混沌分形的理论与方法的研究·2,447,543篇论文数据，部分数据来源于NoteExpress
新原理将弹性理论中现有的各主要变分原理都统一在一个框架中，并揭示出它们之间更深一层的相互关系。
This new principle unifies all the main existing variational principles in elasticity into one frame and brings to light a more profound relationship among them.
有限元法实质上是变分问题的一种数值解法，是物理问题的通用计算方法。
Essentially, the finite element method is a numerical technique for the variational problems, which is a general approach to physical problems.
实例分析表明：变分差分方法对复杂区域具有较强的适应性和较高的求解精度。
The example shows that the variational\|difference method has well adaptability and precision for complex region.
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