NeuralUDF
NeuralUDF
Learning Unsigned Distance Fields for Multi-view Reconstruction of Surfaces with Arbitrary Topologies
Background
SDF and OF (occupancy) : implicit
Marching Cube: extract mesh from implicit and expensive
Motivation
- SDF 局限于 closed surfaces
Overview
- UDF and density function of the volume rendering
- Differentiable indicator function
- iso-surface regularizer
Unbiased volume density function
- SDF
- UDF
\(\Phi(t)\) is the indicator.
Visibility indicator function
Use soft probabilistic distribution instead of using hard \(\epsilon\) bound
Gradient-aware indicator
增加 UDF 梯度 Mask 
Iso-surface regularizer
\(M\) is the number of samples. 产生更清晰的等值面。
overall loss function
