Systems and methods for stabilizing videos

A method for stabilizing videos, the method performed by a system including a housing and one or more processors, the housing carrying an optical element, an image sensor, and a position sensor, the optical element configured to guide light within an optical field of view to the image sensor, the optical field of view being greater than a capture field of view for generating video content, the method comprising:

• generating, by the image sensor, an image output signal based on light that becomes incident thereon during a capture duration, the image output signal conveying image information that defines images with the optical field of view;
• generating, by the position sensor, a position output signal based on positions of the housing during the capture duration, the position output signal conveying position information that characterizes positions of the housing at different moments within the capture duration;
• determining, by the one or more processors, an observed trajectory of the housing during the capture duration based on the position information, the observed trajectory reflecting the positions of the housing at the different moments within the capture duration, the observed 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 one or more processors, a capture trajectory of the housing based on a subsequent portion of the observed trajectory such that a portion of the capture trajectory corresponding to the first portion of the observed trajectory is determined based on the second portion of the observed trajectory, the capture trajectory having smoother changes in the positions of the housing than the observed trajectory;
• determining, by the one or more processors, orientations of the capture field of view for the images with respect to the optical field of view of the images based on the capture trajectory of the housing;
• and
• generating, by the one or more processors, the video content based on visual content of the images within the capture field of view.

A system that stabilizes videos, the system comprising:

• a housing;
• an optical element carried by the housing and configured to guide light within an optical field of view to an image sensor, the optical field of view being greater than a capture field of view for generating video content;
• the image sensor carried by the housing and configured to generate an image output signal based on light that becomes incident thereon during a capture duration, the image output signal conveying image information that defines images with the optical field of view;
• a position sensor carried by the housing and configured to generate a position output signal based on positions of the housing during the capture duration, the positions of the housing including rotational positions and/or translational positions of the housing, the position output signal conveying position information that characterizes positions of the housing at different moments within the capture duration, the position information determined independent of the image information;
• and
• one or more physical processors configured by machine-readable instructions to:
• determine an observed trajectory of the housing during the capture duration based on the position information, the observed trajectory reflecting the positions of the housing at the different moments within the capture duration, the observed 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;
• determine a capture trajectory of the housing based on a subsequent portion of the observed trajectory such that a portion of the capture trajectory corresponding to the first portion of the observed trajectory is determined based on the second portion of the observed trajectory, the capture trajectory having smoother changes in the positions of the housing than the observed trajectory;
• determine orientations of the capture field of view for the images with respect to the optical field of view of the images based on the capture trajectory of the housing;
• and
• generate the video content based on visual content of the images within the capture field of view.