How to get precise surface representation of XYZ point data

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Pavel Onishchenko 2020-8-18

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https://ww2.mathworks.cn/matlabcentral/answers/581064-how-to-get-precise-surface-representation-of-xyz-point-data

评论： Pavel Onishchenko 2020-9-2

Hello everyone,

I`m trying to create algorithm for aortic valve leaflets generation. At this moment i`m facing with this problem: cant convert XYZ data (vector Mx3 with coordinates of each vertex, where M is generated in construction step, in some case >10000) to surface. Methods like delaunayTriangulation, B-splines, etc cannot precisely represent surface:

1) total view of leaflet generated with Delaunay and then Triangulation

2) elemens of this triangulation

so-so results i`ll get with alphaShape, but still get bad elements and some of vertex get lost:

Problem with alphaShape in aplha: large values gives vertex lost, small - holles. Results with alpha = criticalAlpha(shp, 'all-points') and 'one-region' doesnt satisfy me.

I am want to automaticly generate precise triangulation of my vertexes like it doing Materialize 3-matic with "Mesh data" tool whitch build surface from point cloud: