You should be able to convert between VEC and IM7 format using DaViS program.
Convert DaVis graphic file to DaVis graphics file.
We have found one software suitable in our database for this conversion.
Microsoft Windows software - convert vec to im7 on Windows
A software for intelligent (laser) imaging applications
Convert from vec file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.