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mkazhdan / PoissonRecon

Poisson Surface Reconstruction
MIT License
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The relationship between B-Spline and Indicator function #239

Open WangYangDi opened 2 years ago

WangYangDi commented 2 years ago

Hi,Professor

I have a question about the relationship between B-Spline and Indicator function. Indicator function takes the value 1 inside the surface and 0 outside the surface.B-spline is the function that define in the each node of the tree.how to make Indicator function out of B-spline functions?

mkazhdan commented 2 years ago

Indeed. At the end of the day, the indicator function is represented as a linear combination of the B-splines. So that solving for the indicator function amounts to solving for a coefficient at each node, giving the contribution of that node's B-spline to the overall function.

mkazhdan commented 2 years ago

I'm afraid I cannot parse that.

WangYangDi commented 2 years ago

Thanks

WangYangDi commented 1 year ago

Hi,professor

I have a question that how to obtain a triangular grid from the obtained indicative function. By means of Poisson reconstruction, we can calculate the indicative function of space. If I want a triangular grid on a surface, how can i achieve it by Poisson reconstruction?

mkazhdan commented 1 year ago

Methods like Marching Cubes are designed to extract triangle meshes from implicit functions (represented by voxel grids).

WangYangDi commented 1 year ago

Thanks，professor