  Fully homomorphic encryption has allowed devices to outsource computation to
third parties while preserving the secrecy of the data being computed on. Many
images contain sensitive information and are commonly sent to cloud services to
encode images for different devices. We implement image processing
homomorphically that ensures secrecy of the image while also providing
reasonable overhead. We first present some previous related work, as well as
the fully homomorphic encryption scheme we use. Then, we introduce our schemes
for JPEG encoding and decoding, as well as schemes for bilinear and bicubic
image resizing, as well as some data and analysis of our homomorphic schemes.
Finally, we outline several issues with the homomorphic evaluation of
proprietary algorithms, and how a third party can gain information on the
algorithm through noise.
