What would be the out of Interp1?

  • Thread starter vivek91m
  • Start date
In summary, the conversation discusses the use of the interp1 function in GNU Octave for one-dimensional interpolation. The function must be used with strictly monotonic input values and will give an error if the input vectors do not represent a function. The help file for the function is suggested as a resource for further understanding, as well as plotting the data to visualize the interpolation.
  • #1
vivek91m
8
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Hello guys,

If i run the following command

y = interp([1:5 4:9], 1:11, 4);

what would be the output of the same, and what does it mean?
 
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  • #2
Code:
> y = interp([1:5 4:9], 1:11, 4)
error: `interp' undefined near line 92 column 5
error: evaluating assignment expression near line 92, column 3
... does not exist in gnu octave. How about interp1()?
Code:
> y = interp1([1:5 4:9], 1:11, 4)
y =  6
... which would be the last value calculated for x.
Put Y=11:-1:1 and it gives you

Find out what it means from the help file:
Code:
> help interp1
-- Function File: YI = interp1 (X, Y, XI)
     One-dimensional interpolation. Interpolate Y, defined at the
     points X, at the points XI. The sample points X must be strictly
     monotonic. If Y is an array, treat the columns of Y separately.
... or hunt down the function m-file.
... or just plot Y vs X and see where XI,YI compare.

Presumably you mean - "how does the interpolation function handle the case where the input vectors do not represent a function?"
 
  • #3
As mentioned in the help:

"The sample points X must be strictly monotonic."

interp1([1:5 4:9], 1:11, 4)

should give an error because x ([1:5 4:9]) is not strictly monotonic here, it doesn't have distinct values. Isn't it?
 

Related to What would be the out of Interp1?

1. What is Interp1 and how does it work?

Interp1 is a function in MATLAB that performs 1-D interpolation based on a set of given data points. It works by creating a mathematical model that estimates values between the data points, allowing for greater precision and smoother curves.

2. What are the inputs and outputs of Interp1?

The inputs for Interp1 include the data points, the values of interest, and the method of interpolation. The output is a vector of interpolated values based on the input data.

3. How does Interp1 differ from other interpolation methods?

Interp1 is specifically designed for 1-D interpolation, meaning it only works with data that varies along a single axis. Other interpolation methods, such as Interp2 for 2-D interpolation, can handle data with multiple dimensions. Additionally, Interp1 uses a piecewise polynomial interpolation method, while other methods may use splines or other mathematical models.

4. Can Interp1 handle missing or invalid data points?

No, Interp1 requires a complete and valid set of data points in order to perform accurate interpolation. Missing or invalid data points can result in inaccurate or undefined output values.

5. Are there any limitations to using Interp1?

One limitation of Interp1 is that it can only perform interpolation within the range of the given data points. It cannot accurately extrapolate beyond the range of the data. Additionally, Interp1 may not be the most suitable interpolation method for all types of data and may not always produce the most accurate results.

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