ListInterpolate and missing values

*To*: mathgroup at smc.vnet.net*Subject*: [mg124834] ListInterpolate and missing values*From*: Mark Coleman <markspcoleman at gmail.com>*Date*: Thu, 9 Feb 2012 05:34:51 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hi, I'm looking for a way to linearly interpolate missing values in a large list of numbers such that the interpolated values reflect the size of the "gap" between non-missing values. For instance, say I have the following list: x={1,2,10,,12,2,6,6,,,12,22} The list x has two gaps. A gap of size "1" at x[4], and a gap a size "2" at x[10]-x[11]. I'm looking for a linear interpolation method such that x[4] = 11, x[10]=8, x[11]=10 That is, each of the interpolated values is a constant increment between the two surrouding non-missing values. My actually problem has millions of such lists, where gaps are dispersed randomly (In thinking about his more, missing endpoints could also be interpolated by "extending" the line between the two succeeeding or preceeding points). I'm wondering if ListInterpolate can handle this sort of problem directly? If not, any help would be much appreciated. Cheers, Mark

**Follow-Ups**:**Re: How to select only points which are inside a domain***From:*Bob Hanlon <hanlonr357@gmail.com>

**Re: ListInterpolate and missing values***From:*Ulrich Arndt <ulrich.arndt@data2knowledge.de>

**Re: ListInterpolate and missing values***From:*Bob Hanlon <hanlonr357@gmail.com>