Paper shows surfaces with same SRNF but different shapes.
problem SRNF degeneracy in shape space.
method Introduced Square Root Normal Field (SRNF) to represent and compare surfaces.
result Examples of surfaces with same SRNF but different shapes.
On-device research index
arXiv research
A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
168,742 papers · 148 categories
Trend · papers per month
5 results for “SRNF”
SRNF framework extends surface distance to Lipschitz surfaces.
problem Defining a distance metric for unparametrized surfaces.
method Square Root Normal Fields (SRNF) and Wasserstein Fisher Rao (WFR) metric.
result SRNF distance on Lipschitz surfaces is equivalent to WFR metric.
Paper connects surface shape analysis and unbalanced optimal transport.
problem Computing the SRNF shape distance on piecewise linear surfaces.
method Characterizes SRNF shape distance as WFR distance pullback, proposes new algorithm for WFR distance computation.
result Direct computation of SRNF shape distance on piecewise linear surfaces.
New elastic metrics for surface shape analysis.
problem Analyzing shapes of surfaces in 3D space.
method Introducing a family of elastic metrics on surface spaces, computing geodesics, and comparing results.
result New metrics generalize SRNF and include geodesics for comparison.
A new numerical framework simplifies elastic surface matching and comparison.
problem Challenging problem in surface comparison and matching in computer vision.
method Relaxing the geodesic boundary constraint using a varifold fidelity metric.
result Flexibility to deal with arbitrary topologies and sampling patterns, scalability to large meshes.