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Editorial Team
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Editorial Team
Asked: May 25, 20262026-05-25T16:48:05+00:00 2026-05-25T16:48:05+00:00

I am looking for the fastest available algorithm for distance transform. According to this

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I am looking for the fastest available algorithm for distance transform.

According to this site http://homepages.inf.ed.ac.uk/rbf/HIPR2/distance.htm, it describes: “The distance transform can be calculated much more efficiently using clever algorithms in only two passes (e.g. Rosenfeld and Pfaltz 1968).”

Searching around, I found: “Rosenfeld, A and Pfaltz, J L. 1968. Distance Functions on Digital Pictures. Pattern Recognition, 1, 33-61.”

But I believe we should have a better and faster algorithm than the one in 1968 already? In fact, I could not find the source from 1968, so any help is highly appreciated.

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  1. Editorial Team
    Editorial Team
    2026-05-25T16:48:06+00:00Added an answer on May 25, 2026 at 4:48 pm

    There’s tons of newer work on computing distance functions.

    • Fast marching algorithms that originally came from Tsitsiklis (not Sethian like Wikipedia says). Tons of implementations are available for this.
    • Fast sweeping algorithms from Zhao
    • O(n) (approximate) fast marching by Yatziv

    By the way, you’d really want to use these instead of the work by Rosenfeld, specifically when you want to compute distances in the presence of obstacles.

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