Viewpoint path modeling

A mobile computing device comprising:

• a camera configured to capture a first set of images device as the mobile computing device moved along a path through space, wherein movement along the path is subject to variation along the path;
• and
• a processor configured to cause:
• determining a plurality of first coordinate points associated with a first set of images captured by a mobile computing device as the mobile computing device moved along a path through space around an object, wherein movement along the path is subject to variation along the path, each of the first coordinate points identifying a respective location in Cartesian coordinate space;
• converting the plurality of first coordinate points to second coordinate points, each of the second coordinate points identifying a respective location in polar coordinate space, wherein the polar coordinate space is defined relative to a center point corresponding to a location of the object;
• determining a first trajectory to remove variation along the path by smoothing the first trajectory through the polar coordinate space based on the second coordinate points, wherein smoothing comprises smoothing of radial coordinates of the mobile computing device in the polar coordinate space to reduce variation in radial distance from the object and reducing rotational position changes between images in the first set of images captured by the mobile computing device by evaluating a plurality of loss functions including a first loss function identifying a first difference between a first image's original rotational position and the first image's updated rotational position and a second loss function identifying a difference between a previous image's updated rotational position and a current image's updated rotational position;
• determining a second trajectory through the Cartesian coordinate space based on the first trajectory through the polar coordinate space;
• and
• determining a second set of images based on the first set of images and the second trajectory, one or more of the second set of images being determined by transforming one or more of the first set of images to match a respective viewpoint associated with the second trajectory, the second set of images having a smoothed trajectory.

One or more non-transitory computer readable media having instructions stored thereon for performing a method comprising:

• determining a plurality of first coordinate points associated with a first set of images captured by a mobile computing device as the mobile computing device moved along a path through space around an object, wherein movement along the path is subject to variation along the path, each of the first coordinate points identifying a respective location in Cartesian coordinate space;
• converting the plurality of first coordinate points to second coordinate points, each of the second coordinate points identifying a respective location in polar coordinate space, wherein the polar coordinate space is defined relative to a center point corresponding to a location of the object;
• determining a first trajectory to remove variation along the path by smoothing the first trajectory through the polar coordinate space based on the second coordinate points, wherein smoothing comprises smoothing of radial coordinates of the mobile computing device in the polar coordinate space to reduce variation in radial distance from the object and reducing rotational position changes between images in the first set of images captured by the mobile computing device by evaluating a plurality of loss functions including a first loss function identifying a first difference between a first image's original rotational position and the first image's updated rotational position and a second loss function identifying a difference between a previous image's updated rotational position and a current image's updated rotational position;
• determining a second trajectory through the Cartesian coordinate space based on the first trajectory through the polar coordinate space;
• and
• determining a second set of images based on the first set of images and the second trajectory, one or more of the second set of images being determined by transforming one or more of the first set of images to match a respective viewpoint associated with the second trajectory, the second set of images having a smoothed trajectory.