In various implementations, provided are systems and methods for correcting the distortion present in a fisheye image, and rendering the image for display as 360-degree video. In various implementations, a computing device can receive 2-dimensional video data captured by an omnidirectional camera. The computing device can map an image from each video frame to a 3-dimensional hemispherical representation. In various implementations, this mapping can be executed using a polynomial model. The 3-dimensional hemispherical representation can then be used in a 360-degree video presentation, to provide a virtual reality experience.