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VGL
Germany
5 Posts |
 Posted - 01/12/2021 : 2:17:24 PM
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Hi all!
I'm currently using OriginPro in order to create ternary phase diagrams. Since I only have a limited number of data points, I'm using the smoothing function for interpolation. Origin offers a smoothing option for ternary diagrams which uses Thin Plate Spline (https://www.originlab.com/doc/Origin-Help/PD-Dialog-ContourInfo-Tab#Smoothing). However, since I'm working with phase transitions I'd like Origin to interpolate using an ln-function or something that better represents eutectic points (basically sharp minima and broad maxima).
Maybe this picture helps to understand what I'm trying to do:
Is there an easy way to accomplish this within the ternary diagram plot?
OriginPro 2020b, Win10 |
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YimingChen
1623 Posts |
Posted - 01/13/2021 : 09:26:51 AM
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Hi,
It looks not a "smoothing" problem. If you just want to connect two points with a curved line, you can try the curve tool which can plot line with adjustable curvature.
James |
Edited by - YimingChen on 01/13/2021 09:31:04 AM |
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VGL
Germany
5 Posts |
Posted - 01/13/2021 : 09:44:42 AM
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Hi James,
Thanks for your help. You are probably right about it being no smoothing problem (at least not exclusively). I'm trying to change the way Origin interpolates my data. I think I need to clarify what my graph looks like:
It's a ternary diagram of the XYZ(Z2) type. Z2 is my height data. Circles labeled 1-10 are my data points. The height profile in-between is being interpolated by Origin. Now what I need to adjust is the way the mountain profile falls off between my data points. Currently it's looking like an n-polynom, I would prefer a log-function with broad maxima and sharp minima. Is there a way to adjust the function Origin uses for interpolating the data.
However, the smoothing option adds fictive data points all over the grid and I assume their distribution is following the Thin Plate Spline function.
Any ideas? |
Edited by - VGL on 01/13/2021 09:45:41 AM |
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YimingChen
1623 Posts |
Posted - 01/13/2021 : 11:42:10 AM
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Hi,
Currently Origin doesn't support such smoothing/interpolation method. I have reported to our developer see if we can improve. You can use the jira ID (ORG-23087) to check the update with us. By the way, do you have any reference article/paper of doing such or any software/package that support this type of interpolation?
Thanks
James |
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VGL
Germany
5 Posts |
Posted - 01/13/2021 : 11:57:29 AM
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Hi James,
Thanks for the heads-up and for creating a ticket regarding this.
I don't have a corresponding paper at hand, but I have some 3D-visualization of what I'm looking for.
Here is a 3D-plot of a ternary phase diagram for melting temperatures:
https://docplayer.org/docs-images/43/3662271/images/page_19.jpg
As you can see, the peaks are broad while the minima are discontinuous (see the image in my first post).
EDIT: Here is a paper featuring the kind of phase diagrams I'm trying to produce in origin. Note how the minima converge into lines (labeled ternary eutectic) in Figure 2 instead of building an area: https://www.tulane.edu/~sanelson/eens212/ternaryphdiag.htm |
Edited by - VGL on 01/13/2021 12:05:56 PM |
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YimingChen
1623 Posts |
Posted - 01/13/2021 : 12:05:53 PM
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Thank you. This is helpful.
James |
Edited by - YimingChen on 01/13/2021 12:30:56 PM |
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YimingChen
1623 Posts |
Posted - 01/15/2021 : 11:01:26 AM
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Hi,
In the ternary phase diagram in the link, the contour was divided by three boundary curves. Do you know how to determine these boundary curves? Once that was done, we can smooth each region using the current method respectively.
Yiming |
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VGL
Germany
5 Posts |
Posted - 01/15/2021 : 12:33:20 PM
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quote:
Originally posted by YimingChen
Hi,
In the ternary phase diagram in the link, the contour was divided by three boundary curves. Do you know how to determine these boundary curves? Once that was done, we can smooth each region using the current method respectively.
Yiming
Hi!
The boundary lines are a result of the "domes" meeting each other. The intersection of these shapes defines the boundaries. The "domes" can probably be described by a negative log-function starting at the maximas of the 3D field that is calculated by TPS. A customizable parameter for the steepness of the log-function would be amazing.
Thanks! |
Edited by - VGL on 01/15/2021 12:34:38 PM |
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YimingChen
1623 Posts |
Posted - 01/18/2021 : 09:59:06 AM
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Hi,
We discussed here and we feel it is still difficult to define the negative log function. To define each negative log function for each region, boundary has to be predetermined. We couldn't find anything useful related to this on the internet.
James |
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VGL
Germany
5 Posts |
Posted - 01/18/2021 : 10:38:59 AM
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quote:
Originally posted by YimingChen
Hi,
We discussed here and we feel it is still difficult to define the negative log function. To define each negative log function for each region, boundary has to be predetermined. We couldn't find anything useful related to this on the internet.
James
Then I will keep working with the given smoothing method. Thanks anyway! |
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Topic |
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Ternary diagram smoothing with lnx instead of TPS?