Looking for a capture card that will output HD-TVI

Does anyone know of such a product? I'm trying to screen capture a computer program onto a surveillance system DVR (specifically the EZHD-TRF16) and the only converters I can find go the wrong direction: HD-TVI in to HDMI out (I want basically ANYTHING ELSE into HD-TVI)

Did you look at anything from BlackMagic? This is a very uncommon conversion.