GradientFittedMesh

GradientFittedMesh[{p1,p2,…}]

gives a MeshRegion whose gradient best fits the normals at points p1,p2,….

Details and Options

Examples

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Basic Examples  (2)

Reconstruct a sphere from random points:

An oriented point sample of a Beethoven sculpture:

3D reconstructed mesh:

Scope  (2)

GradientFittedMesh works on coordinates:

It is equivalent to points without normals:

GradientFittedMesh works on oriented points:

Options  (2)

VertexNormals  (1)

Specify coordinate orientations using VertexNormals:

This is equivalent to passing oriented points:

PerformanceGoal  (1)

Generate a higher-quality mesh:

Emphasize performance, possibly at the cost of quality:

Applications  (1)

Reconstruct a mesh from oriented points in :

The reconstructed mesh:

Basic properties:

Reconstructed meshes are bounded:

Find its area and centroid:

Possible Issues  (1)

GradientFittedMesh only works on 3D points:

Wolfram Research (2021), GradientFittedMesh, Wolfram Language function, https://reference.wolfram.com/language/ref/GradientFittedMesh.html.

Text

Wolfram Research (2021), GradientFittedMesh, Wolfram Language function, https://reference.wolfram.com/language/ref/GradientFittedMesh.html.

CMS

Wolfram Language. 2021. "GradientFittedMesh." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GradientFittedMesh.html.

APA

Wolfram Language. (2021). GradientFittedMesh. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GradientFittedMesh.html

BibTeX

@misc{reference.wolfram_2024_gradientfittedmesh, author="Wolfram Research", title="{GradientFittedMesh}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/GradientFittedMesh.html}", note=[Accessed: 18-November-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_gradientfittedmesh, organization={Wolfram Research}, title={GradientFittedMesh}, year={2021}, url={https://reference.wolfram.com/language/ref/GradientFittedMesh.html}, note=[Accessed: 18-November-2024 ]}