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Re: Should interp1.m function allow jumps in X-values?
From: |
Ben Abbott |
Subject: |
Re: Should interp1.m function allow jumps in X-values? |
Date: |
Tue, 21 Aug 2012 07:04:55 -0400 |
On Aug 21, 2012, at 4:26 AM, vivek dogra wrote:
> Hello,
> Currently, interp1.m allows at most one identical pair of values in X. My
> concern is should it really do that? My arguments are as follows:
>
> In my opinion repeated values should not be allowed for interpolation. Let's
> say i have following data points:
>
> x f(x)
> 0 4
> 1 6
> 2 8
> 3 10
>
> Now if i want to get f(1.5) then i will take the value midway between f(1)
> and f(2) which would be 7. Now in case i have repeated values the data points
> will be:
>
> x f(x)
> 0 4
> 1 6
> 1 7
> 2 8
> 3 10
>
> Now in this case what f(1.5) will be? 7 or 7.5? (What will you call the best
> interpolation?) There will be ambiguity in this case. Also in the present
> case the sample points are nicely behaving so there is not much difference
> between 7 and 7.5. Although in some cases (if let's say f(1) = 6 and f(1) =
> 9) there can be lot of difference between answers when we choose one data
> point over another.
> So Octave should not allow repeated x values.
Is the ambiguity due to a lack of clarity of the documentation, or does
interp1() not work in a consistent manner?
Ben
- Should interp1.m function allow jumps in X-values?, vivek dogra, 2012/08/21
- Re: Should interp1.m function allow jumps in X-values?,
Ben Abbott <=
- Re: Should interp1.m function allow jumps in X-values?, vivek dogra, 2012/08/21
- Re: Should interp1.m function allow jumps in X-values?, Ben Abbott, 2012/08/21
- Re: Should interp1.m function allow jumps in X-values?, vivek dogra, 2012/08/21
- Re: Should interp1.m function allow jumps in X-values?, vivek dogra, 2012/08/21
- Re: Should interp1.m function allow jumps in X-values?, Martin Helm, 2012/08/21
- Re: Should interp1.m function allow jumps in X-values?, vivek dogra, 2012/08/21
- Re: Should interp1.m function allow jumps in X-values?, Juan Pablo Carbajal, 2012/08/21
- Re: Should interp1.m function allow jumps in X-values?, Juan Pablo Carbajal, 2012/08/21
- Re: Should interp1.m function allow jumps in X-values?, vivek dogra, 2012/08/21
- Re: Should interp1.m function allow jumps in X-values?, Michael D Godfrey, 2012/08/21