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I'm a bit naive on this topic, and wanted to understand the difference in the mechanics of Bézier splines and Loess curves as curve-fitting methods.

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    $\begingroup$ They're completely different, so different that writing a comparison would be a strange exercise. For one, there is a big difference between interpolation and smoothing. You've tagged this question well, although I would drop the "curve-fitting" tag and add "interpolation" as a tag, and searching with the tags will show that there are several questions on this forum that should help you understand. The forum doesn't work like Siri. $\endgroup$
    – Nick Cox
    Oct 30, 2014 at 10:41
  • $\begingroup$ "Layman's terms" could mean almost anything. What does it mean here? No equations? No calculus? $\endgroup$
    – Nick Cox
    Oct 30, 2014 at 10:49
  • $\begingroup$ @nick-cox I've edited the question. Thanks for the suggestion. Edit: Removed the phrase "In layman's terms"; Added the tag "interpolation". $\endgroup$ Oct 30, 2014 at 11:20
  • $\begingroup$ Thanks, but I think this remains unlikely to be answered as you would wish. $\endgroup$
    – Nick Cox
    Oct 30, 2014 at 11:26

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