Systems and methods for stabilizing videos

A method for stabling videos, the method performed by a computing system including one or more processors, the method comprising:

• determining, by the computing system, a trajectory of an image capture device during a capture duration based on positions of the image capture device at different moments within the capture duration, the image capture device including an optical element and an image sensor, the optical element configured to guide light within a field of view to the image sensor, the image sensor configured to generate a visual output signal conveying visual information based on light that becomes incident thereon during the capture duration, the visual information defining visual content having the field of view, wherein the trajectory reflects the positions of the image capture device at the different moments within the capture duration, the trajectory including a first portion corresponding to a first moment within the capture duration and a second portion corresponding to a second moment subsequent to the first moment within the capture duration;
• determining, by the computing system, a smoothed trajectory of the image capture device based on a subsequent portion of the trajectory such that a portion of the smoothed trajectory corresponding to the first portion of the trajectory is determined based on the second portion of the trajectory, the smoothed trajectory having smoother changes than the trajectory;
• determining, by the computing system, a viewing window for the visual content based on the smoothed trajectory of the image capture device, the viewing window defining one or more extents of the visual content;
• and
• generating, by the computing system, stabilized visual content of a video based on the viewing window, the stabilized visual content including a punchout of the one or more extents of the visual content within the viewing window.