A 3D Gaussian Splatting variant that uses persistent homology to guide point-cloud densification and to regularize training, improving rendering quality on standard NVS benchmarks.
The third bound is obtained by noting that |∇2 W λtopoLtopo(Wt)|2 consists of quadratic functions, which are bounded by B + 4B = 5B
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Topology-Aware 3D Gaussian Splatting: Leveraging Persistent Homology for Optimized Structural Integrity
A 3D Gaussian Splatting variant that uses persistent homology to guide point-cloud densification and to regularize training, improving rendering quality on standard NVS benchmarks.