rot_scale_to_matrix — REPRCONV algebra op

• Data kinds: rot_scale → matrix

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

Usage

(angle [deg], scale) → a 2-D similarity matrix (2,2). The exit from rot_scale.

Turns the 2-tuple returned by match_logpolar_z directly into a matrix. Round trip with matrix_to_rot_scale measured max|Δ| = 2.8e-14 (angle in degrees, scale dimensionless).

Args:

rot_scale: sequence of length 2 (angle_deg, scale). scale > 0.

Returns:

(2, 2) float64.

Raises:

ValueError: length is not 2 / scale <= 0 / 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_conversion — py -3.11 examples/representation_conversion.py

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

matrix_to_descriptor · matrix_to_angle · matrix_to_rot_scale

Same category (algebra)

angle_to_matrix · matrix_to_angle · matrix_to_rot_scale · shift_to_vector · vector_to_shift · cscalar_to_polar · polar_to_cscalar · countrate_to_counts

*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.