二维动画中图层相对运动的计算与应用——以一点透视的等物距运动为例

Calculation and Application of Relative Motion Between Layers in 2D Animation:A Case Study of Motion in Equal Object Distance of Single Point Perspective

图层相对运动原理是二维动画设计的重要基础理论,对图层相对运动和一点透视的等物距运动进行阐述,明确二维动画中图层相对运动的重要作用。利用摄像机成像原理和几何学,以一点透视的等物距运动为例,对二维动画中图层相对运动的重要参数进行计算,并推导其计算公式。图层相对运动的计算原理和影响因素既是计算公式的理论基础,也决定了其适用的范围。通过典型的水平跟拍镜头实例,分析制作过程,并应用计算公式分别对图层相对运动速度、相对位移距离,以及各图层总画幅的尺寸进行了演示计算。总结了定量计算与其它因素结合的要点,为今后的二维动画创作提供一定的参考。

The principle of relative motion between layers is important basic theory in 2D animation design.The concept of relative motion between layers and the concept of motion in equal object distance of single point perspective are expounded,and that play important parts in 2D animation. In the case study motion in equal object distance of single point perspective,with imaging principle of the camera system and geometry,the important parameters of relative motion between layers are calculated,and the calculating formula is deduced. The calculation principle and influence factors are the theoretical basis,and they determine the scope of application. Taking horizontal follow shot as an example,the process is analyzed. The relative motion speed,the moving distance and the total frame are calculated by the formula. The main points of combining quantitative calculation with other factors are summarized,that will provide some reference for the future creation of 2D animation.