The error message is telling you that the program depends on an outdated version of Qt Designer (3.3). In theory, that is fixable; but I would guess it would be just the first in a long chain of outdated dependencies.
The basic problem is that program has not been updated since 2007. Debian removed the package from both testing and unstable in June, 2012. Ubuntu removed the package from 12.10 both because Debian did so and because it depends on obsolete Qt3 libraries.
k3dsurf is, however, available in the Universe repository in 12.04. If you are already running 12.04 or can install 12.04 to a new partition or to an external drive, that is your best bet for using the program.
The most recent version
0.6.2.4-1 is available directly from the Software Center, so you won't need to worry about installing from source.
Update: The OP stated in a comment that the
k3dsurf Windows version runs fine under Wine.
Given that the software is fairly old and is using an older version of Qt, it may a good idea to be aware of security risks with Wine, no matter how unlikely they may be.
The Wine FAQ on risks states:
Just because Wine runs on a non-Windows OS doesn't mean you're protected from viruses, trojans, and other forms of malware.
Securing Wine on the Wine Wiki warns:
Wine doesn't support most Windows security constructs, and instead relies on the underlying operating system for security. Unless you run Wine as root, for instance, it's hard for malicious software in Wine to modify files belonging to other users. But Wine doesn't protect you against malware you run yourself.
Both pages go on to list several ways to improve security.