We have found one software suitable in our database for this conversion.
The best and likely also only way how you can export Visio smartshapes (.vss) as JPEG pictures (.jpg, .jpeg) would be to use Microsoft Vision. That is because Visio formats are almost never supported in 3rd party apps because the formats are proprietary.
Updated: July 22, 2016
A diagram application, that uses vector graphics to create diagrams. Microsoft Visio is distributed as part of Microsoft Office Family and also available as a subscription through Microsoft Office 365. The latest version is Visio 2016 that is compatible with Windows 7, Windows 8 and Windows 10.