Motion Magnification (MM) is a collection of relative recent techniques within the realm of Image Processing. The main motivation of introducing these techniques in to support the human visual system to capture relevant displacements of an object of interest; these motions can be in object color and in object location. In fact, the goal is to opportunely process a video sequence to obtain as output a new video in which motions are magnified and visible to the viewer. We propose a numerical technique using the Phase-Based Motion Magnification which analyses the video sequence in the Fourier Domain and rely on the Fourier Shifting Property. We describe the mathematical foundation of this method and the corresponding implementation in a numerical algorithm. We present preliminary experiments, focusing on some basic test made up using synthetic images.

翻译：运动放大（Motion Magnification，简称MM）是图像处理领域中一系列相对较新的技术。引入这些技术的主要动机在于辅助人类视觉系统捕捉目标物体的相关位移；这些运动可体现在物体颜色与物体位置的变化上。实际上，其目标是通过对视频序列进行适当地处理，生成一段新的视频作为输出，使其中原本微小的运动被放大并清晰呈现给观察者。我们提出了一种基于相位分析的运动放大数值技术，该方法在傅里叶域中对视频序列进行分析，并依托于傅里叶平移性质。我们阐述了该方法的数学基础及其在数值算法中的具体实现。通过使用合成图像构建的基础测试案例，我们展示了初步的实验结果。