points_to_gaussians — REPRCONV gaussians op

• Data kinds: points → gaussians

• Call: import fullseye as fs; fs.ledger.points_to_gaussians(points, k=6, scale=1.0) (to call the implementation directly, import reprconv; reprconv.points_to_gaussians(points, k=6, scale=1.0); from the registry, opsreprconv.get("points_to_gaussians"))

Usage

A point set (N,3) → isotropic gaussians. The only entry into this type.

gaussians is a type that fuse3d.to_points consumes in the ledger, but not even 1 op produced it (measured) -- a type that only has consumers is never executed unless a generator is planted as a seed. Here it is built the same way as the initialisation of 3D Gaussian Splatting: sigma is the mean distance to each point's k nearest neighbours, and the weights are an equal split of 1/N.

mu is the input points themselves, so a round trip with gaussians_to_points is bit-identical (measured max|Δ| = 0.0). sigma and w do not come back in the round trip -- they are quantities the point cloud never had to begin with, so this is not a loss but an addition.

Args:

points: (N, 3). N >= 2.

k: number of neighbours that determines sigma (default 6). Values above N-1 are clipped to N-1.

scale: factor multiplied onto sigma (default 1.0).

Returns:

dict(mu (N,3) / sigma (N,) / w (N,)).

Raises:

ValueError: N < 2 / k < 1 / scale <= 0 / bad shape / non-finite.

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• representation_roundtrip — py -3.11 examples/representation_roundtrip.py

Ops the type connects to (they accept gaussians as input)

gaussians_to_points · gaussians_to_voxel

Same category (gaussians)

gaussians_to_points · gaussians_to_voxel


*Provenance: reprconv.py — REPRCONV operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.