complex_steerable_reconstruct — MOTIONMAG decompose op

Data kinds: tableimage2d

Call: import motionmag; motionmag.complex_steerable_reconstruct(decomposition) -> 'np.ndarray' (or opsmotionmag.get("complex_steerable_reconstruct"))

Usage

Invert :func:complex_steerable_decompose -> `(H, W)` real image.

Exact: the analysis bank is a tight frame after the divisor correction, so

the round trip is the identity up to floating-point rounding (measured

`6.66e-16` maximum absolute error on a 64x64 random frame with the default

4 scales x 4 orientations). Editing a band before calling this — scaling its

phase, zeroing it — is how every other operator in this module works.

Refuses a dict whose bands do not match the declared shape or count, because

a partially edited decomposition would otherwise reconstruct something

plausible from the wrong frame size.

Detailed usage guide

motion_magnification family guide

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)

motion_magnificationpy -3.11 examples/motion_magnification.py

Ops the type connects to (they accept image2d as input)

complex_steerable_decompose

Same category (decompose)

complex_steerable_decompose


*Provenance: motionmag.py — MOTIONMAG 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.