Reproduce “A Theory of Topological Derivatives for Inverse Rendering of Geometry” on OpenResearch

Turn your favorite coding agents into research agents that review literature, develop hypotheses, and run experiments.

Universal app for Apple silicon and Intel. Requires macOS 11 or later.

About this paper

Ishit Mehta, Manmohan Chandraker, Ravi Ramamoorthi

The authors introduce topological derivatives for inverse rendering, estimating whether small changes away from an existing boundary would improve an image match. In 2D, the method supports hole and phase nucleation; in 3D, it acts at visible surface points under assumptions of locally constant radiance and curvature. Synthetic examples show topology recovery; the 3D derivation does not establish phase nucleation.

Summary by alphaXiv.

Tip: change arxiv.org to autoarxiv.org in any arXiv abstract link to open the paper here.