diff --git a/README.md b/README.md
index e212520..c9cd90b 100644
--- a/README.md
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@@ -4,18 +4,50 @@ Client-side image deskewing tool. Upload a photo taken at an angle, place refere
Everything runs in the browser -- no server, no uploads.
+## Example
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+ Before — angled shot
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+ After — corrected perspective
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+ Measured — annotations baked in
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## How it works
-1. **Upload** a JPG or HEIC image (HEIC is converted automatically)
-2. **Review EXIF** data -- camera, lens, focal length
-3. **Place datums** on the image -- rectangles or lines with known real-world dimensions
-4. **Run correction** -- OpenCV.js computes a perspective transform and outputs a corrected image
+1. **Upload** a JPG or HEIC image (HEIC is converted automatically). Past uploads are cached and reopen straight into Measure with their datums and annotations restored.
+2. **Review EXIF** data -- camera, lens, focal length.
+3. **Place datums** on the image -- rectangles, lines, or ellipses (circles) with known real-world dimensions. Each datum carries a 1--5 confidence score. One datum can be flagged as the world-axis reference to fix the output orientation.
+4. **Deskew** -- OpenCV.js computes a perspective transform and produces a corrected image at a configurable px/mm scale, with per-datum residuals and a global RMS error reported.
+5. **Measure** -- annotate the corrected image with lines, rectangles, ellipses, circles, and angles in real-world units. Export the bare PNG, or the image with measurements baked in (full resolution or current viewport).
### The algorithm
-The highest-confidence rectangle datum defines the initial perspective correction via `getPerspectiveTransform`. All other datums (rectangles and lines) are projected through that transform and measured. Per-axis weighted scale corrections are computed from the discrepancies, folded back into the destination rectangle, and a single clean `warpPerspective` produces the output. One matrix, one warp, no post-hoc distortion.
+The pipeline picks a **primary** datum that fixes the output gauge (orientation, position, scale): any datum the user explicitly flagged as the world-axis reference, otherwise the highest-confidence rectangle, then ellipse, then line. The primary's known dimensions are mapped onto an axis-aligned output frame via `cv.getPerspectiveTransform` -- that's the warm-start homography.
-Datum confidence scores (1--5) act as weights in the correction.
+That homography is then refined by an alternating-minimization loop around `cv.findHomography` (which internally runs DLT + Levenberg-Marquardt). On every outer pass, each datum is turned into output-space point correspondences using its shape constraint:
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+- **Rectangle** -- Procrustes-fit an ideal `w × h` rectangle to the current projection of the user-marked corners.
+- **Line** -- preserve the projected midpoint and direction, rescale to the expected length.
+- **Ellipse** -- sample 12 points along the user ellipse, project them, then radially snap to a circle of the expected diameter centred on the projected user-marked centre. Forces circles to stay circular under perspective.
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+Confidence scores (1--5) are realised as integer replication of correspondences -- `cv.findHomography` has no native weighting. The primary additionally gets a ×3 gauge boost so its anchors don't drift while secondary datums are being satisfied. The loop runs until the homography stops moving (max-entry relative delta below 1e-6) or 30 iterations, with period-2 oscillation detection logging a warning if the alternating minimization fails to converge.
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+A single `cv.warpPerspective` with Lanczos resampling produces the corrected image at the requested px/mm scale; output bounds are derived by projecting the source image corners through the final homography and clamped to a 12288 px maximum dimension to keep WASM heap usage bounded.
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+Per-datum residuals are reported alongside the result: edge length error and corner perpendicularity for rectangles, length error for lines, and isotropy / skew / equivalent-diameter error from the projected conic for ellipses, plus a global RMS percentage across all of them.
## Quick start
@@ -57,7 +89,7 @@ pnpm type-check # vue-tsc
## Datum presets
-Rectangles: A3, A4, A5, A6, 15x10 cm. Custom dimensions supported. Lines: any length.
+Rectangles: A3, A4, A5, A6, 15×10 cm. Circles: €1, €2, US 25¢, UK 1p, CD. Custom dimensions supported on every type; lines accept any length.
## How Skwik compares
@@ -73,8 +105,8 @@ There are plenty of tools that do *part* of what Skwik does, but none that combi
| [Toolschimp Image Measure](https://www.toolschimp.com/image-measure) | ✅ | ❌ | ✅ | ✅ | ❌ |
| [Aspose Deskew](https://products.aspose.app/imaging/image-deskew) | ❌ | ❌ | ❌ | ❌ | ❌ |
-Most deskew tools just pull 4 corners to a rectangle without any real-world dimensions -- the output has no scale. Most measurement tools calibrate against a single reference and don't correct perspective. Skwik uses multiple weighted datums (rectangles + lines, each with a confidence score) to solve both problems in one pass, and lets you measure distances or export with a scale bar on the corrected image.
+Most deskew tools just pull 4 corners to a rectangle without any real-world dimensions -- the output has no scale. Most measurement tools calibrate against a single reference and don't correct perspective. Skwik uses multiple weighted datums (rectangles, lines, and ellipses, each with a confidence score) to solve both problems in one pass, and lets you measure distances or export with a scale bar on the corrected image.
## License
-MIT
+GNU General Public License v3.0