Linear Interpolation for scattered 3-D data
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I have a dataset of scattered 3-D points (non-regular) that carry some variable and am trying to interpolate that variable to a new point. I have currently implemented a couple of methods, but don't like the behavior of inverse distance and am getting overshoot issues with the polyharmonic spline RBF. Is there a method that would simply provide me with a linear interpolation? If possible, a detailed explanation/example of a matrix setup would be greatly appreciated.
For example (and for those familiar), the software Tecplot has an option for linear interpolation, but I can't find any documentation on its method.
interpolation data-analysis
asked Nov 21 at 17:39
Travis
145110
add a comment |
up vote
1
down vote
favorite
I have a dataset of scattered 3-D points (non-regular) that carry some variable and am trying to interpolate that variable to a new point. I have currently implemented a couple of methods, but don't like the behavior of inverse distance and am getting overshoot issues with the polyharmonic spline RBF. Is there a method that would simply provide me with a linear interpolation? If possible, a detailed explanation/example of a matrix setup would be greatly appreciated.
For example (and for those familiar), the software Tecplot has an option for linear interpolation, but I can't find any documentation on its method.
interpolation data-analysis
asked Nov 21 at 17:39
Travis
145110
Does the standard linear regression model serve your purpose?
– Adrian Keister
Nov 28 at 14:11
To my knowledge a linear regression wouldn't guarantee that the fit would "pass through" or reproduce values at the known data points. I need them to maintain values at known points and vary linearly in space between them
– Travis
Nov 28 at 17:07
Tryscipy.interpolate.griddatafrom thescipylibrary in Python. It's at least sure to be well-documented.
– Adrian Keister
Nov 28 at 17:16
Thanks for the tip. I'll look into this
– Travis
Nov 28 at 17:30
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
I have a dataset of scattered 3-D points (non-regular) that carry some variable and am trying to interpolate that variable to a new point. I have currently implemented a couple of methods, but don't like the behavior of inverse distance and am getting overshoot issues with the polyharmonic spline RBF. Is there a method that would simply provide me with a linear interpolation? If possible, a detailed explanation/example of a matrix setup would be greatly appreciated.
For example (and for those familiar), the software Tecplot has an option for linear interpolation, but I can't find any documentation on its method.
interpolation data-analysis
asked Nov 21 at 17:39
Travis
145110
I have a dataset of scattered 3-D points (non-regular) that carry some variable and am trying to interpolate that variable to a new point. I have currently implemented a couple of methods, but don't like the behavior of inverse distance and am getting overshoot issues with the polyharmonic spline RBF. Is there a method that would simply provide me with a linear interpolation? If possible, a detailed explanation/example of a matrix setup would be greatly appreciated.
For example (and for those familiar), the software Tecplot has an option for linear interpolation, but I can't find any documentation on its method.
interpolation data-analysis
interpolation data-analysis
asked Nov 21 at 17:39
Travis
145110
asked Nov 21 at 17:39
Travis
145110
asked Nov 21 at 17:39
Travis
145110
asked Nov 21 at 17:39
Travis
145110
asked Nov 21 at 17:39
Travis
145110
145110
Does the standard linear regression model serve your purpose?
– Adrian Keister
Nov 28 at 14:11
To my knowledge a linear regression wouldn't guarantee that the fit would "pass through" or reproduce values at the known data points. I need them to maintain values at known points and vary linearly in space between them
– Travis
Nov 28 at 17:07
Tryscipy.interpolate.griddatafrom thescipylibrary in Python. It's at least sure to be well-documented.
– Adrian Keister
Nov 28 at 17:16
Thanks for the tip. I'll look into this
– Travis
Nov 28 at 17:30
add a comment |
Does the standard linear regression model serve your purpose?
– Adrian Keister
Nov 28 at 14:11
To my knowledge a linear regression wouldn't guarantee that the fit would "pass through" or reproduce values at the known data points. I need them to maintain values at known points and vary linearly in space between them
– Travis
Nov 28 at 17:07
Tryscipy.interpolate.griddatafrom thescipylibrary in Python. It's at least sure to be well-documented.
– Adrian Keister
Nov 28 at 17:16
Thanks for the tip. I'll look into this
– Travis
Nov 28 at 17:30
Does the standard linear regression model serve your purpose?
– Adrian Keister
Nov 28 at 14:11
Does the standard linear regression model serve your purpose?
– Adrian Keister
Nov 28 at 14:11
To my knowledge a linear regression wouldn't guarantee that the fit would "pass through" or reproduce values at the known data points. I need them to maintain values at known points and vary linearly in space between them
– Travis
Nov 28 at 17:07
To my knowledge a linear regression wouldn't guarantee that the fit would "pass through" or reproduce values at the known data points. I need them to maintain values at known points and vary linearly in space between them
– Travis
Nov 28 at 17:07
Try
scipy.interpolate.griddata from the scipy library in Python. It's at least sure to be well-documented.– Adrian Keister
Nov 28 at 17:16
Try
scipy.interpolate.griddata from the scipy library in Python. It's at least sure to be well-documented.– Adrian Keister
Nov 28 at 17:16
Thanks for the tip. I'll look into this
– Travis
Nov 28 at 17:30
Thanks for the tip. I'll look into this
– Travis
Nov 28 at 17:30
add a comment |
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Does the standard linear regression model serve your purpose?
– Adrian Keister
Nov 28 at 14:11
To my knowledge a linear regression wouldn't guarantee that the fit would "pass through" or reproduce values at the known data points. I need them to maintain values at known points and vary linearly in space between them
– Travis
Nov 28 at 17:07
Try
scipy.interpolate.griddatafrom thescipylibrary in Python. It's at least sure to be well-documented.– Adrian Keister
Nov 28 at 17:16
Thanks for the tip. I'll look into this
– Travis
Nov 28 at 17:30