An Intelligent Proofreading for Remote Skiing Actions Based on Variable Shape Basis

Tie Li, Jun Wang, Katarzyna Wiltos, Marcin Woźniak
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Abstract

The current proofreading algorithms for action regulation mainly recover the 3D structure and action information of non-rigid objects from image sequences by factorization. Most of algorithms assume that the camera model is an affine model. This assumption only holds if the size and depth of the object change very little relative to the distance from the object to the camera, which is in the case of fixed-shape basis. When the object is very close to the camera, this assumption causes a large reconstruction error. This paper solves this problem by the intelligent proofreading algorithms for remote skiing teaching actions based on variable shape basis. Firstly, the improved Retinex algorithm is used to enhance the multi-frame video images of skiing actions to make the action details more prominent. Then, measurement matrix is calculated after eliminating the translation vector by coordinate transformation. Under the condition of rank constraint, the measurement matrix is decomposed by singular value decomposition algorithm, and the correct shape basis structure of 3D action features can be obtained by using the variable shape basis. Finally, by randomly initializing a parameter, the optimized parameter and the least square algorithm are used to optimize the randomly initialized parameter further. The iteration until the convergence of the objective function can be used to calculate the deformation degree of the actions. The test results show that this algorithm improves the proofreading accuracy of action regulation in skiing teaching, and the proofreading results of various uploaded sliding actions are correct, which can be applied to remote skiing teaching and community learning.

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基于可变形状基础的远程滑雪动作智能校对技术
目前用于动作调节的校对算法主要是通过因式分解从图像序列中恢复非刚性物体的三维结构和动作信息。大多数算法都假设摄像机模型是仿射模型。这一假设只有在物体的大小和深度相对于物体到摄像机的距离变化很小的情况下才成立,即在固定形状的基础上。当物体距离摄像机非常近时,这一假设会导致较大的重建误差。本文通过基于可变形状基础的远程滑雪教学动作智能校对算法解决了这一问题。首先,使用改进的 Retinex 算法增强滑雪动作的多帧视频图像,使动作细节更加突出。然后,通过坐标变换消除平移向量后计算测量矩阵。在秩约束条件下,利用奇异值分解算法对测量矩阵进行分解,并利用可变形状基础得到三维动作特征的正确形状基础结构。最后,通过随机初始化一个参数,利用优化参数和最小二乘法算法进一步优化随机初始化参数。迭代直到目标函数收敛,即可计算出动作的变形程度。测试结果表明,该算法提高了滑雪教学中动作规范的校对精度,各种上传滑动动作的校对结果正确,可应用于远程滑雪教学和社区学习。
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