On May 1, 12:54 am, Chetan <
vinc...@gmail.com> wrote:
> On Apr 30, 3:56 pm, Kalyan <
kkolach...@yahoo.com> wrote:
>
>
>
> > But the actual scene that was being shot was in colour.
>
> Not if you were to believe Calvin's dad :)
>
>
http://multifamilyinvestor.com/wp-content/uploads/2010/03/calvin-hobb...
>
> > So, if that
> > can be restored with some accuracy (I believe different colours map to
> > different shades of grey in a B&W film)
>
> This is obviously true, but the reverse is not. In other words, the
> mapping is not one-to-one. 3 color dimensions (R,G,B) map to 1 gray-
> scale dimension. Trying to reconstruct the original colors from this -
> even if we assume there is value in it - is like trying to reconstruct
> a 3D shape from its projection on a line. It is not possible.
>
> C
Reconstruction of a higher-dimensional entity from a lower-dimensional
one is an ill-posed inverse problem. But it can be solved (to a degree
of approximation) if appropriate constraints are added on the solution
space. These constraints arise from knowledge about what one really
expects to see as the solution. The 3D shape of an object can be
reconstructed from two images of that object taken from very nearby
viewpoints (it's called shape from stereo), making some assumptions
about the 3D shape - such as its smoothness or self-similarity.
Another example is interpolation given a bunch of samples - it can be
done successfully if you make appropriate assumptions about the
function. (Technical digression: under appropriate conditions, it is
possible to reconstruct the entire function *perfectly*, i.e. with
zero error, from a very small set of samples. That's what the field of
compressive sensing is all about).
Similarly, there are algorithms for transferring color onto grayscale
images. I have no idea whether they were employed in the actual
colorization of the black and white movies or what method was really
used. My guess is that perhaps a few color pictures of some scenes
from black and white movies had been already been acquired - and later
carefully preserved. Given a bunch of such color images and their
grayscale counterparts, a mapping function (or a whole set of them)
was "learned". This (set of) mapping function(s) was/were used for
performing the transfer for the other grayscale frames of the movie.
Perhaps, there was quite a degree of manual intervention to correct
for artifacts. The end product looks fabulous from a technical
perspective - i.e. there are no color artifacts or changes in hue.