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Alle Oberthemen / Informatik / Computergrafik / Schwerpunktkolloquium: Basic Techniques, Geometry Processing, Global Illumination
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Explain Poisson reconstruction in the context of mesh generation!
We assume an underlying characteristic function that represents the object

By convoluting with a smoothing kernel , we obtained a blurred version

of which the gradient coincides with the normals of the object we want to reconstruct.

Given points with estimated normals , we can thus state that



In order to solve for , we turn the problem into a Poisson equation:


Which can be discretized into a linear system by taking finite differences.

Non-oriented normals
If we only have normal directions without consistent orientations, we can state that should be parallel to the normal directions:




With the additonal smoothness constraint:
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Autor: janisborn
Oberthema: Informatik
Thema: Computergrafik
Schule / Uni: RWTH Aachen
Ort: Aachen
Veröffentlicht: 18.05.2022

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