<p>If you have a map from a mesh into the 2D plane. How do you measure its distortion? I know that theoretically what you do is express the differential map of the transformation then use SVD to figure out your components and then find the magnitudes of the principal axes.</p>
<p>But how do I even define the differential map on a mesh?</p>
<p>When talking about distortion I mean the metrics of the differential map. i.e. things like the eigen values of the matrix obtained from the matrix representation of the differential map.</p>
<p><a href="https://www.researchgate.net/post/How-can-I-measure-distortion-of-mesh-parameterization" rel="nofollow noreferrer">https://www.researchgate.net/post/How-can-I-measure-distortion-of-mesh-parameterization</a></p>

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2023-08-30T20:53:32.303Z
You already said that you have a map from a mesh to a 2D plane. I also suppose that most users on here do not know the definition of distortion that you're referring to, so a reference would be welcome.
lightxbulb
<mathematics><computational-geometry><geometry><mesh>
How to measure distortion of a parametrization?
Makogan
# How to measure distortion of a parametrization?

(Asked by: username_0 on 2023-08-30)

If you have a map from a mesh into the 2D plane. How do you measure its distortion? I know that theoretically what you do is express the differential map of the transformation then use SVD to figure out your components and then find the magnitudes of the principal axes.

But how do I even define the differential map on a mesh?

When talking about distortion I mean the metrics of the differential map. i.e. things like the eigen values of the matrix obtained from the matrix representation of the differential map.

<https://www.researchgate.net/post/How-can-I-measure-distortion-of-mesh-parameterization>

**Tags:** mathematics, computational-geometry, geometry, mesh
> **Comments:**
> **username_1**: You already said that you have a map from a mesh to a 2D plane. I also suppose that most users on here do not know the definition of distortion that you're referring to, so a reference would be welcome.  

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## 0 answers

