eval_poly_surface — 3D surface_fit op

• Data kinds: poly_surface × image2d × image2d → image2d

• Call: import fullseye as fs; fs.ledger.eval_poly_surface(model, x, y) (to call the implementation directly, import match3d; match3d.eval_poly_surface(model, x, y); from the registry, ops3d.get("eval_poly_surface"))

Usage

Evaluate the model at (x,y) → z (returned in the shape of x).

*model* is the return value (dict) of fit_poly_surface. fail-closed: passing the tck of a B-spline surface/curve (a FITPACK list) used to crash at model["degree"] with TypeError: list indices must be integers... (measured 7 times on 2026-09-01). Polynomial models and B-spline models have different contents, so they are rejected explicitly here (the ops3d ledger also keeps the types poly_surface / bspline_surface separate).

Raises ValueError: model is not a polynomial-model dict / a required key is missing.

Background guides (the physics and conventions behind this op)

• blas_threads_and_memory — Why matrix decompositions are slow — BLAS threads, caches, memory layout

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.

Runnable examples (verified samples that actually call this op)

• contours_to_terrain — py -3.11 examples_3d/contours_to_terrain.py

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

fuse_to_voxel · fit_poly_surface · surface_form_error · background_flatten · polar_unwrap · fit_zernike · matcap_shade · antialias

Same category (surface_fit)

fit_poly_surface · surface_form_error · background_flatten

*Provenance: match3d.py — 3D 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.