A storage controller receives a command from a host application to perform a point-in-time backup of a source dataset to a storage cloud. The storage controller generates a target dataset via a point-in-time copy of the source dataset, and a mapping that indicates a correspondence between locations of the source dataset and locations of the target dataset. The storage controller copies the target dataset to the storage cloud to generate a backup dataset that is the point-in-time backup of the source dataset, wherein the backup dataset is accessible via reference to the locations of the source dataset.