inkmap

Per-pixel foreground coverage for photographed marks.

Given a photo of a printed mark and a model of its shape, say — for every pixel — how much of it is foreground (the mark) and how much is background (the substrate). Not a boolean mask: a continuous 0–1 area fraction, accurate enough to measure on.

pip install inkmap

import inkmap

coverage = inkmap.foreground("photo.jpg")   # (H, W) float32 in [0, 1]

The idea

Decoding a QR code is a solved problem. Reading text is a solved problem. Measuring the mark itself is not: if you need to know the reflectance, density, or colour of the printed material — as opposed to what it says — you need to know exactly which pixels are mark, which are substrate, and which are neither.

The shape is the input, not a special case. A model answers one question — is this point, in my own coordinate system, foreground? — and everything else (locating, sub-pixel refinement, rasterising, measuring) is written against that one question. So QR symbols, barcodes, printed letters and arbitrary artwork all go through one pipeline.

from inkmap import models

inkmap.find(photo)                                        # auto-detect QR / barcode
inkmap.find(photo, model=models.text_model("ABC"), quad=q)  # printed text
inkmap.find(photo, model=models.RasterModel(logo), quad=q)  # anything you can draw
inkmap.find(photo, model=models.PolygonModel(outlines), quad=q)   # exact vector shape

Writing your own is two members and no base class:

class Disc:
    extent = (20.0, 20.0)      # model space is 20 x 20 units
    feature_size = 10.0        # smallest feature that must be resolved

    def occupancy(self, u, v):                    # vectorised
        return (u - 10) ** 2 + (v - 10) ** 2 < 81

inkmap.find(photo, model=Disc(), quad=corners)

What you get back

ink = inkmap.find("photo.jpg")        # an InkMap, or None

ink.placement.quad                    # (4, 2) corners — a quadrilateral, not a
                                      # rectangle; perspective is expected
ink.placement.transform               # (3, 3) model space -> image pixels
ink.placement.pixels_per_feature      # the resolution figure that governs everything

ink.coverage                          # (H, W) float32 — foreground area fraction
ink.region                            # OUTSIDE / MARGIN / BACKGROUND / FOREGROUND
ink.weight                            # (H, W) float32 — safe-to-measure weighting

Then measure:

result = inkmap.measure("photo.jpg", ink)

result.foreground_mean                # sRGB-linearised mean over safe pixels
result.background_mean
result.contrast
result.measurability.ok               # False if this image can't support it

measure accepts any frame registered to the one you located in, so geometry can be established once on the sharpest image and reused across exposures, channels or modalities.

The three 0–1 channels

Conflating these is the fastest route to a wrong measurement:

	what it is	use it for
coverage	geometric — fraction of the pixel's area under foreground	reporting, print QC, finding mixed pixels
weight	blur-aware — coverage eroded by how far the PSF actually reaches	the only channel that should gate a measurement
confidence	epistemic — how much to trust the label here	quality gating, artefact rejection

If the underlying reality is binary, "probability this pixel is foreground" is confidence. If it isn't — a pixel genuinely straddling an edge — the degree of membership is coverage. They are different numbers and both are worth having.

Measured on synthetic scenes with exact ground truth, recovering a foreground-only signal at 6 px per feature:

pixel selection	no blur	σ=1	σ=2	σ=3
coverage > 0.5 (what a threshold gives you)	−3.3%	−12.2%	−23.3%	−32.4%
coverage == 1.0 (geometrically pure)	−0.0%	−8.0%	−19.9%	−30.1%
weight (PSF-eroded)	+0.0%	−0.2%	−0.6%	−1.5%

Geometric purity is not sufficient: blur drags background signal into pixels entirely under foreground, and that contamination has a different footprint from partial coverage — so no coverage-based weighting removes it. Only spatial erosion does. See docs/validation.md.

Terminology

The classes are foreground and background, never dark/light — appearance inverts (white-on-black print, reflectance-reversed symbols, inverted imaging), so an appearance-based name would mean the mark in one image and the substrate in the next. Polarity carries that mapping explicitly:

from inkmap import Polarity
inkmap.find(photo, polarity=Polarity.FOREGROUND_IS_LIGHT)

The continuous value is coverage, after ISO 12647-2 area coverage. Full cross-field mapping to ISO/IEC 18004, 15415, DIBCO, printing, matting, remote sensing and medical-imaging vocabulary: docs/terminology.md.

How it works

photograph ──► locate ──► recover model ──► refine transform ──► rasterise ──► erode

1. Locate — a cascade of zxing-cpp, OpenCV's Aruco-based QR detector and OpenCV's classic detector, plus linear barcodes. On 189 real photographs: zxing 74%, aruco 68%, OpenCV 43%, union 80%. For marks nothing can auto-detect, inkmap.place() takes the corners from you.
2. Recover the model — from a bit-exact rectification where a decoder offers one, otherwise sampled from the image. Never by re-encoding a decoded payload: error-correction level, mask pattern and code-set choices are not recoverable from the text, so re-encoding can silently produce a different pattern.
3. Refine — align the rendered model to the photograph with ECC. Four locator corners are four observations; the model has thousands. Takes corner error from ~1 px to 0.02–0.03 px (4–53× depending on conditions).
4. Rasterise — supersample each pixel, back-project through the transform, ask the model occupancy(u, v). Exact up to the supersampling rate, and independent of lighting. Coverage MAE against exact ground truth is 0.0000–0.0005.
5. Erode to a weight — by ~2× the estimated blur σ, because geometric purity is not enough (see the table above).

Decoding is optional throughout. A mark whose material barely deposited will not decode, and that is exactly the case that must still work.

Sub-pixel geometry turns out to hinge on three half-pixel conventions agreeing — pixel-centre vs pixel-corner rasterisation, the template raster, and the fact that different locators disagree about what a "corner" is. Getting them wrong cost 50× in accuracy during development, and none of it is visible on inspection: the mask still looks like a mask. The diagnostic, if you ever chase this: if the error grows with the mark's rotation angle following R(d) − d, the residual d is a convention offset, not noise.

How well it works

Validated three ways, because no single way is sufficient — synthetic scenes (exact ground truth by construction), real photographs (round-trip through an independent decoder), and DIBCO (hand-labelled per-pixel ink truth).

	detection	round-trip geometry	round-trip when measurable
QR (189 real photos)	80%	77%	96%
Barcode (56 real photos)	95%	48%	89%
Text (86 real words)	— (no locator; you supply the quad)	—	see below

The conditional matters: when inkmap judges an image measurable, an independent decoder confirms the geometry 96% of the time. Failures concentrate where the library already says not to trust it.

On real ink with hand-labelled ground truth (DIBCO), eroding a perfect mask by one pixel shifts the measured foreground mean by 17% of the foreground/background contrast — so the contamination argument is not an artefact of synthetic data.

Text is the honest weak spot. Placement works (IoU 0.76 with an image-derived shape) but a glyph model with the wrong font does not (IoU 0.17). Measured directly: with the correct font IoU is 0.997–1.000; with a wrong one, 0.46–0.80. For text, pass the actual font or take the shape from the image.

📄 Methods and results (PDF) — the full write-up: approach, algorithms, every number, the datasets, the limits, and a barcode defect the evaluation caught and forced a fix for (round-trip 5% → 48%).

Extending it

inkmap.LOCATORS["mine"] = my_locator          # (bgr, gray) -> list[Placement]
inkmap.find(photo, locators=["mine", "qr_zxing"])

Tunable defaults live in inkmap.config — supersampling, ECC parameters, erosion margin, saturation levels — as documented constants rather than inline magic numbers.

Skills for AI agents

If you drive inkmap from an agent, the shipped skill inkmap-usage is the short version of everything that is easy to get wrong: choosing a model, the corner-order trap, which of the three 0–1 channels to use for what, and gating on measurability. Install it with skill, or just read it.

Test data

384 real photographs of marks in the wild — 189 QR, 56 barcodes, 139 printed text — (CC0 / public domain / CC BY / CC BY-SA), fetched on demand and cached:

from inkmap import corpus

corpus.kinds()                        # {'qr': 189, 'barcode': 56, 'text': 139}
paths = corpus.fetch(kind="barcode")
print(corpus.attribution_text())      # attribution is required for CC BY / CC BY-SA

Synthetic scenes with exact ground-truth coverage — the only way to validate a 0–1 output, since no photograph comes with per-pixel truth:

from inkmap import synth

scene = synth.render(my_model, perspective=0.05, blur=1.2, glare=0.3, jpeg_quality=80)
scene.image      # the degraded photograph
scene.coverage   # exact ground truth, by construction

Looking at results

Coverage maps look plausible when subtly wrong, so check them:

from inkmap import viz
import cv2

# original | overlay | coverage | weight
cv2.imwrite("check.png", viz.panel(photo, ink))
cv2.imwrite("grid.png", viz.overlay(photo, ink, draw_grid=True))

Install notes

Hard dependencies are numpy, opencv-python-headless and zxing-cpp — all permissively licensed (BSD / Apache-2.0), all pure wheels, no system libraries.

If you already have opencv-python or opencv-contrib-python, install with --no-deps and keep yours: all four opencv-* distributions provide the same cv2 and conflict when more than one is installed.

segno is needed only to build a QR for an arbitrary payload (inkmap[synth]); Pillow only for GlyphModel (inkmap[text]).

Deliberately not used: qrdet / qreader, which are MIT on the tin but depend on ultralytics, which is AGPL-3.0.

License

MIT