angles_to_normals — REPRCONV direction op

• Data kinds: pairs → normals

• Call: import fullseye as fs; fs.ledger.angles_to_normals(pairs) (to call the implementation directly, import reprconv; reprconv.angles_to_normals(pairs); from the registry, opsreprconv.get("angles_to_normals"))

Usage

Azimuth/elevation pairs (N,2) [deg] → unit normals (N,3). The exit from pairs.

The exact inverse of normals_to_angles (in the sense of normalising to unit length). Elevations outside [-90, 90] are rejected -- an elevation of 100 degrees folds into "80 degrees on the opposite side" and is plausibly wrong, so it is not silently accepted.

Args:

pairs: (N, 2) [azimuth deg, elevation deg], or a tuple of 2 equal-length 1-D arrays.

Returns:

(N, 3) float64, unit length per row.

Raises:

ValueError: invalid shape / non-finite / elevation outside [-90, 90].

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 normals as input)

normals_to_angles · normals_to_egi

Same category (direction)

normals_to_angles · normals_to_egi

*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.