The Infinity release is in general (but not always) softer than the Facets release, but I think that it has it has better color fidelity to the original film elements than the Facets does (again, in general). For example, regarding Dekalog 5 I remember reading that Kieslowski said to his cinematographer something like "If you want to shoot the film in s**t green, that's your business." Until the Infinity release I've never seen 5 in green (the Korean "A Short Film About Killing" DVD is more yellow than green).

The Facets release seems to be cropped a bit and is missing some content at the top and bottom (as compared with the Infinity). The Infinity has a bit of black on the left and/or right edges of the image (in order to get the full vertical content in frame). You can see the cropping clearly in the Dekalog 10 screen captures.

The most surprising difference is that each episode of the Facets is SHORTER than the Infinity. The time difference builds up gradually, which leads me to believe that the Facets might have been mastered from a PAL video source.

The only significant shortcoming of the Infinity release is the quality of the English subtitles. The subtitle text has some spelling, grammatical, and typographical errors, and in some instances is displayed on the screen for too short a period of time. The amount of dialog contained in the Decalogue is less than a typical film, so the problem is mitigated a bit, but nevertheless you might find the subtitle errors distracting. Examples from the first three episodes can be found HERE

The Infinity set contains the documentary "I'm so-so..." on a separate DVD and a booklet (written in Korean). The DVDs also contain a "What is Dekalog..." on each disc, which appears to be a description (in Korean text) of each episode.
 - Paul Whitelock

NOTE: there is a distinct difference in the picture quality of the 3 disc single-sided Facets discs with the two disc double sided version. The three disc version appears to have sharper quality from the brief analysis that we gave it.