The latter is made linear interpolation,while the former is made non-linear interpolation using quaternion interpolation algorithm. By this strategy,the deformation gradient vector of tween-frame posture is composed,according to which the tween-frame mesh mode is calculated.
随后将各仿射变换分解为旋转成分与拉伸缩放成分,对拉伸缩放成分进行线性插值,而对旋转成分采用四元数插值算法进行非线性插值,合成中间帧姿态的变形梯度向量,并据此计算出中间帧网格模型。
参考来源 - 一种3维动画中间帧非线性插值算法 in C·2,447,543篇论文数据，部分数据来源于NoteExpress
本文通过变分途径建立了变形梯度张量的极分解和加法分解之间的联系。
Through a variational approach, the passage from the additive decomposition to polar decomposition of deformation gradient has been completed.
本文根据分层总和法的基本概念及表达式给出了变形系数表及变形梯度系数表。
Based on the fundamental concept of layer-wise summation method, this paper presents tables for deciding the coefficients of deformation and deformation grade.
建立了局部(塑性)剪切变形梯度与局部(塑性)剪切应变分布之间的关系及速度梯度与应变率分布之间的关系。
The relation between the gradient of local (plastic) shear deformation and the local (plastic) shear strain and that between the gradient of velocity and the strain rate were established.
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