shape_index_to_curvature — REPRCONV `curvature` op

• Data kinds: pairs → curvature

• Call: import reprconv; reprconv.shape_index_to_curvature(pairs) (or opsreprconv.get("shape_index_to_curvature"))

Usage

Shape index and curvedness `(N,2) → principal curvatures (N,2). The inverse of :func:curvature_to_shape_index`.

> The detailed description below is the original text — the summary and the headings are translated.

theta = pi*S/2 として `k1 = C(sin+cos), k2 = C(sin-cos)`。

(S, C) の定義式を解いた閉形式で、近似も反復も入っていない。

Args:

pairs: (N, 2) の `[S, C]`。

Returns:

(N, 2) float64 の `[k1, k2]`(k1 >= k2)。

Raises:

ValueError: |S| > 1 / C < 0 / 形状不正 / 非有限。

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 `curvature` as input)

curvature_to_shape_index · curvature_to_table

Same category (`curvature`)

curvature_to_shape_index · curvature_to_table

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

shape_index_to_curvature — REPRCONV curvature op