image op• Data kinds: image2d × image2d → table
• Call: import fullseye as fs; fs.ledger.harmonic_rotation(image, reference, orders=(3, 4, 5), rings=((14, 24), (30, 40), (46, 56)), center=None, tol=0.05) -> 'dict' (implementation को सीधे call करना हो तो import residue; residue.harmonic_rotation(image, reference, orders=(3, 4, 5), rings=((14, 24), (30, 40), (46, 56)), center=None, tol=0.05) -> 'dict', registry से लेना हो तो opsresidue.get("harmonic_rotation"))
reference के सापेक्ष image का 360 degrees पर absolute in-plane rotation -> dict।
> नीचे का विस्तृत विवरण मूल text में है — सारांश और headings का अनुवाद हो चुका है।
A feature with n-fold symmetry (n lobes, n holes, n slots) tells the rotation only modulo 360/n degrees: its order-n circular harmonic has phase n*theta. Features of several orders, each ambiguous alone, fix theta uniquely whenever the orders have no common divisor (3 and 4: 360 / gcd = 360). This op samples each annulus rings[i] (radii in px around center, default the image centre), takes the order orders[i] angular Fourier coefficient of image and reference, and solves the angle by residue_crt with the coefficient amplitudes as weights.
Returns {"angle_deg", "per_order_deg", "residual_deg", "margin", "suspect", "amplitude"}. angle_deg is counter-clockwise on screen (rows down) — the convention of scipy.ndimage.rotate — in [0, 360). suspect is the index of the ring whose residual is worst relative to its period (or -1 if all are within tol) — a smudged, occluded or broken feature shows up there before it corrupts the angle. With >= 3 orders and only one corrupted, residue_fault_locate gives a hard decision; this op keeps the soft one.
Rotate greyscale images (interpolate, then threshold if needed): rotating a binary mask with nearest-neighbour sampling roughens the edges and biases the harmonics.
• Sample data catalog (DL URL / license) — 2-D के लिए skimage.data (BSD/public) + synthetic, 3-D के लिए real data sources (Stanford/PDS आदि) के DL URL।
• Operators का स्रोत और संदर्भ — इस op family के मूल research/methods के स्रोत।
• Algorithm का मानक स्रोत (लेखक, वर्ष) और उपयोग ऊपर की family usage guide में दिए गए हैं।
• poc_residue_crt — py -3.11 examples/poc_residue_crt.py
table को input के रूप में लेते हैं)—
image)*Provenance: residue.py — RESIDUE operator registry. यह per-op note tools/opdocs.py md से अपने-आप generate होता है (हाथ से edit न करें)।*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.