transform op• Data kinds: image2d → table
• Call: import fullseye as fs; fs.ledger.abel_inverse_image(image, dr: 'float' = 1.0, *, center: 'float | None' = None, method: 'str' = 'onion') -> 'dict' (to call the implementation directly, import mathtransforms; mathtransforms.abel_inverse_image(image, dr: 'float' = 1.0, *, center: 'float | None' = None, method: 'str' = 'onion') -> 'dict'; from the registry, opsmath.get("abel_inverse_image"))
> This operator's description has not been translated yet. The original text follows as it is.
軸対称な物体を横から撮った画像(縦 = 対称軸の向き、横 = 軸からの距離)を、行ごとに逆 Abel して断面画像にする。
炎・プラズマ・噴流の写真は、奥行き方向に足し合わさった投影しか写らない。各行を中心列で左右に分け、
2 つの半分を平均してから(左右の非対称を均す)逆 Abel する。`center` は対称軸の列(既定 = 明るさの重心、
行ごとではなく画像全体で 1 本)。返り値 `{"slice", "center", "asymmetry"}` —— slice は (H, R) の f(z, r)、
asymmetry は左右の半分の差の大きさ(0 に近いほど軸対称の仮定が成り立つ)。
門: 3-D のガウスの塊の投影から、断面のガウスが戻る(閉じた式)。
Every mathops op validates its input before computing (nothing slips through silently):
• **complex input raises ValueError** — coercing to float64 silently discards the imaginary part (numpy only emits a ComplexWarning and returns a plausible-looking wrong real number). State .real/.imag/abs() explicitly, or use complexops, which handles complex data.
• **masked arrays with masked elements raise ValueError** — the implicit conversion that peels off the mask and uses the raw values underneath is refused. Say explicitly whether to fill or to drop.
• **NaN/Inf raises ValueError on every input** (refused with the count stated — it propagates through the whole result).
• Shapes are strict: 1-D and 2-D are never implicitly promoted or broadcast (a matrix in a vector slot, or a vector in a matrix slot, raises ValueError; reshape explicitly).
• Size cap: ops that take a matrix, and the stat_histogram bins, raise ValueError beyond mathops.MAX_ELEMENTS (2^26 ≈ 67 million elements).
• 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.
• transforms_tour — py -3.11 examples/transforms_tour.py
table as input)dynsys_poincare_section · dwt_inverse · chebyshev_eval_nd
transform)abel_transform · abel_inverse · abel_revolve · hankel_transform · tf_poles_zeros · tf_freq_response · tf_impulse_response · tf_step_response
*Provenance: mathtransforms.py — MATH 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.