The proposed solution doesn't work really in my case. There are in the replies ±2 positive and ±9 negative. I also tried the manufacturer (Acer) provided system restore from a 19 days old full back-up, the restore didn't give problems but then at retrying making a Windows system recovery point, I still got the same error (0x80041321), tried also different other suggestions from the internet but no one worked in this case.
Also there was even no folder WindowsBackup available in Windows/System32/Tasks/Microsoft/Windows, so I runned a full Windows Back-up succesfully and then the missing folder was visible but after deleting the 2 tasks asked for and at trying to reconfigure the Windows Back-up procedure, it failed and gives an additional error 0x800700B7.
The Taskscheduler itself should open with the command taskschd.msc but it gives the same error (taskimage damaged or tampered) and also crashes when proceeding ok (+OptinNotification).
The System Restore still works perfectly apparently and the creation of new restorepoints by other programs works also perfectly.
So this seems to be a ±unsolvable Vista bug until now, actually it's not so important, the computer works fine, but may be other functions are hampered, don't know.
They say this error is mostly caused by some suspicious registercleaners like Regcure, I use ARO and WinOptimizer9 sometimes with no problems at first view, ARO can also create easily system restore points by system back-up.
May be the best solution is to upgrade from Vista to Windows7. In Windows7 by the way, there seems to be also a ±good and workable solution available for the same problem (0x80041321), see:
task backgroundconfigsurveyor:The task image is corrupt - Windows 7 Support Forums