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Perceptual photomosaic generator — Oklab color matching, MKL optimal transport, Hungarian placement, and Oklch tile-pool expansion + recoloring

Project description

mosaicraft

A Python photomosaic generator built on the Oklab perceptual color space, MKL optimal transport, Laplacian pyramid blending, and Oklch recoloring.

PyPI version Python CI License: MIT Code style: ruff

Target vs mosaicraft output


mosaicraft rebuilds a target image as a grid of smaller tile photographs. Most photomosaic libraries use mean-color matching in RGB or HSV. mosaicraft does something different: every step of the pipeline runs in a perceptual color space, and every cell of the output is a distinct photograph.

What's inside:

  • Oklab perceptual color space — Björn Ottosson's 2020 colour space, noticeably more uniform than CIELAB on the saturated colours photomosaics spend most of their compute budget matching, at the same compute cost.
  • MKL optimal transport color transfer — matches the full covariance of each tile's color distribution to the target, preserving the shape of the original tile instead of flattening it.
  • Hungarian 1:1 placement — globally optimal assignment of tiles to cells via the Jonker–Volgenant algorithm. Falls back to FAISS + Floyd–Steinberg error diffusion when the cost matrix exceeds memory.
  • Laplacian pyramid blending — removes grid lines without blurring detail.
  • Oklch tile-pool expansion — generates N hue-rotated variants of every tile in the pool, multiplying the effective catalog size by (N+1) with zero extra photographs.
  • Oklch whole-image recoloring — rotates the finished mosaic through 21 named presets (or any #RRGGBB) while preserving every tile's lightness exactly, so the result has no boundary artifacts.

The hero image above is reproducible from this repository. python scripts/download_demo_assets.py fetches ~8 MB of public-domain paintings and CC0 tiles; python scripts/generate_readme_figures.py then writes every image in this README.

Installation

pip install mosaicraft                # PyPI
pip install "mosaicraft[faiss]"       # with FAISS for huge tile pools

Requires Python 3.9+, NumPy ≥ 1.23, OpenCV ≥ 4.6, SciPy ≥ 1.10, scikit-image ≥ 0.20. No GPU required; FAISS is optional.

Quick start

CLI

# Basic: target image + tile directory.
mosaicraft generate photo.jpg --tiles ./tiles --output mosaic.jpg

# Pick a preset and target cell count.
mosaicraft generate photo.jpg -t ./tiles -o vivid.jpg --preset vivid -n 5000

# Expand a 1,024-tile pool into 5,120 candidates with Oklch hue rotation.
mosaicraft generate photo.jpg -t ./tiles -o big.jpg --color-variants 4

# Pre-build a feature cache so subsequent runs load in under a second.
mosaicraft cache --tiles ./tiles --cache-dir ./cache --sizes 56 88 120

# Recolor a finished mosaic in Oklab (no regeneration).
mosaicraft recolor mosaic.jpg -o mosaic_blue.jpg  --preset blue
mosaicraft recolor mosaic.jpg -o mosaic_sepia.jpg --preset sepia
mosaicraft recolor mosaic.jpg -o mosaic_brand.jpg --hex "#3b82f6"

# List all presets.
mosaicraft presets
mosaicraft recolor-presets

Before and after

Target: Vermeer, Girl with a Pearl Earring (1,366 × 1,600 px). 1,024-image CC0 tile pool × 4 augmentations = 4,096 candidates. 52 × 61 = 3,172 cells. Preset vivid.

Python API

from mosaicraft import MosaicGenerator, recolor

gen = MosaicGenerator(
    tile_dir="./tiles",
    preset="vivid",
    color_variants=4,              # 1,024 tiles -> 5,120 candidates
)
result = gen.generate("photo.jpg", "mosaic.jpg", target_tiles=5000)

# Then recolor the finished mosaic without regenerating anything.
recolor("mosaic.jpg", "mosaic_blue.jpg", preset="blue")
recolor("mosaic.jpg", "mosaic_sepia.jpg", preset="sepia")

Pipeline

                  ┌─────────────────────┐
                  │  Tile collection    │
                  └──────────┬──────────┘
                             │
                  ┌──────────▼──────────┐    ┌────────────────────┐
                  │  Feature extraction │───▶│ 4x flip/brightness │
                  │   (191 dimensions)  │    │ + Oklch variants   │
                  └──────────┬──────────┘    └─────────┬──────────┘
                             │                         │
                             └────────────┬────────────┘
                                          │
   ┌────────────────────┐       ┌─────────▼───────────┐
   │  Target image      │──────▶│  Per-cell features  │
   └────────────────────┘       │  + Oklab means      │
                                └─────────┬───────────┘
                                          │
                       ┌──────────────────▼──────────────────┐
                       │  Saliency-weighted cost matrix      │
                       │  (191-D L2 + Oklab ΔE)              │
                       └──────────────────┬──────────────────┘
                                          │
                       ┌──────────────────▼──────────────────┐
                       │  Hungarian 1:1 assignment           │
                       │  (or FAISS + Floyd–Steinberg)       │
                       └──────────────────┬──────────────────┘
                                          │
                       ┌──────────────────▼──────────────────┐
                       │  Neighbor-swap refinement (2-opt)   │
                       │  then NCC + SSIM rerank             │
                       └──────────────────┬──────────────────┘
                                          │
                       ┌──────────────────▼──────────────────┐
                       │  Per-tile MKL optimal transport     │
                       │  Laplacian pyramid blend            │
                       │  Oklch vibrance / skin protection   │
                       └──────────────────┬──────────────────┘
                                          ▼
                                       output

Why Oklab? CIELAB was calibrated on small colour differences; it underestimates perceptual distance for the large jumps a photomosaic routinely makes. Oklab (Björn Ottosson, 2020) was rebuilt on modern colour-difference data and is noticeably more uniform on the saturated regions a photomosaic spends most of its compute budget matching. Dropping it into the cost function is free and visibly improves matches on saturated photos.

Why MKL optimal transport? Reinhard color transfer matches the first and second moments of the LAB distribution. MKL (Pitié et al., 2007) matches the full covariance, so the shape of the tile's color distribution is preserved as its statistics slide toward the target cell. Details survive; averages don't win.

Zoom detail

Left: the center of the mosaic — at reading distance, the painting is recognizable. Right: a 2× nearest-neighbor zoom — every cell is a distinct CC0 photograph.

Oklch tile-pool expansion

Tile pool sample

One of the hardest problems in photomosaic generation is having enough tiles. A 1,000-image pool gives ~1,000 mean colors, so a 5,000-cell mosaic is forced to repeat. color_variants=N rotates every tile through N evenly-spaced hue shifts in Oklch (the default schedule is 72° / 144° / 216° / 288°), reusing the same photograph at four new positions on the a/b plane:

gen = MosaicGenerator(tile_dir="./tiles", preset="vivid", color_variants=4)

Lightness is preserved exactly, so texture and shading are untouched — only hue and chroma move. For a 1,024-tile pool this turns into 5,120 candidates after Oklch expansion (1,024 × 5 = original + 4 hue rotations), or 20,480 once the default flip + brightness augmentation is layered on top. The Hungarian assignment then has an order of magnitude more material to work with.

Oklch whole-image recoloring

Recolor gallery

A finished mosaic can be recolored through any of 21 named presets (blue, cyan, teal, purple, pink, orange, yellow, lime, sepia, cyberpunk, ...) or an arbitrary #RRGGBB, and the operation preserves the Oklab L channel exactly. Because L is untouched, the per-tile shading survives the rotation — no boundary artifacts, no re-rendering, no tile reload. One 5-MB mosaic becomes a gallery of themed variants in a few hundred milliseconds each.

from mosaicraft import recolor

recolor("mosaic.jpg", "mosaic_blue.jpg",  preset="blue")
recolor("mosaic.jpg", "mosaic_sepia.jpg", preset="sepia")
recolor("mosaic.jpg", "mosaic_brand.jpg", target_hex="#3b82f6")
recolor("mosaic.jpg", "mosaic_shift.jpg", hue_shift_deg=60)

Under the hood: convert to Oklab, split into L and C·exp(iH), rotate H and scale C, convert back. Optional highlight / shadow chroma fading keeps paper-white and deep-black areas neutral.

Presets

Preset Best for
vivid Recommended. MKL optimal transport with skin protection.
ultra Hungarian + Laplacian blend. Highest pixel fidelity.
natural Photo-realistic look, restrained saturation.
tile Emphasizes individual tiles. Strongest mosaic look.
fast FAISS + error diffusion only. No rerank, no Hungarian.

Pass a dict to MosaicGenerator(preset={...}) to override individual keys. See src/mosaicraft/presets.py for the full schema.

Preset comparison

Benchmarks

Small-pool wall time (256-tile pool, cold start)

Produced by python benchmarks/benchmark_pipeline.py — a single MosaicGenerator pass, tiles loaded from disk every time, no feature cache, no GPU, no FAISS.

preset 200 cells 500 cells 1,000 cells
fast 3.00 s 4.42 s 6.87 s
natural 2.79 s 4.38 s 7.49 s
ultra 2.86 s 4.64 s 7.61 s
vivid 2.92 s 4.69 s 7.85 s

AMD Ryzen 7 7735HS, WSL2 / Ubuntu 24.04, Python 3.12, NumPy + OpenCV wheels.

Large-pool regime (1,024-tile pool, up to 30,000 cells)

Run python benchmarks/benchmark_pipeline.py --scale large to reproduce. Every cell is one tile selected from the 1,024 CC0 photograph pool × 4 augmentations (1 horizontal flip + 3 brightness shifts) = 4,096 candidates. Every case is run cold — tiles loaded from disk on every invocation.

preset metric 5,000 cells 10,000 cells 20,000 cells 30,000 cells
fast wall time 28.3 s 51.1 s 95.0 s 190.2 s
fast peak RSS 4,691 MB 4,840 MB 9,373 MB 7,264 MB
ultra wall time 73.9 s 99.8 s 110.7 s 181.7 s

The 30,000-cell output is 8,904 × 10,472 px ≈ 93 megapixels and the finished JPEG is ~47 MB. (ultra runs faster than fast at the 20k / 30k end because the Hungarian assignment saturates before the FAISS + error-diffusion code path stops benefiting from more cells; your mileage will vary with the tile pool / cell size ratio.)

50,000-cell estimate (CPU only, no GPU):

preset est. time est. peak RAM
fast ~5–7 min 8–12 GB
vivid ~4–6 min 12–16 GB
vivid --color-variants 4 ~10–15 min 20–25 GB

Output: ~14,000 × 14,000 px ≈ 200 megapixels. The dominant memory cost is the dense Hungarian cost matrix (n_cells × n_candidates × 8 bytes); fast avoids it via FAISS.

Compared against other photomosaic OSS

Cell diversity vs other tools

Cell diversity is what separates a photomosaic from a four-colour halftone — at 8% the grid is essentially the same dozen tiles repeated all over, at 40%+ each cell is its own photo. The chart above shows the metric on Vermeer's Girl with a Pearl Earring against a shared 1,024-image CC0 pool, regenerated by benchmarks/compare_tools.py and saved to docs/assets/bench_outputs/metrics.json.

4-painting comparison

The same vivid preset against four very different source styles — Vermeer, Van Gogh, Hokusai's Great Wave and Red Fuji — using one shared 1,024-image CC0 tile pool. No tile pool was tuned per painting.

mosaicraft is not the only library that uses linear-sum assignment for tile placement: phomo, phomo-rs, and image-collage-maker all do 1:1 placement too. The combination that makes mosaicraft different is Oklab perceptual colour matching + per-tile MKL optimal-transport colour transfer + Oklch hue-rotation pool expansion in the same pipeline. To my knowledge no other OSS photomosaic library ships all three.

Pixel metrics (click to expand)

Target: Vermeer, Girl with a Pearl Earring. Grid: 40×40 = 1,600 cells. 1,024 CC0 tiles. Numbers below are read directly from docs/assets/bench_outputs/metrics.json; rerun python benchmarks/compare_tools.py --target pearl_earring.jpg --grid 40 to refresh.

Tool Wall SSIM ↑ LPIPS ↓ ΔE2000 ↓ Diversity ↑
codebox/mosaic (RGB mean) 1.3 s 0.250 0.544 10.32 0.079
photomosaic 0.3.1 (CIELAB) 2.1 s 0.065 0.776 37.18 0.111
mosaicraft fast 17.2 s 0.216 0.630 10.85 0.341
mosaicraft vivid 22.2 s 0.148 0.627 15.12 0.424
mosaicraft vivid --cv 4 77.6 s 0.224 0.559 11.06 0.384

SSIM and ΔE2000 reward pixel fidelity, which structurally favours mean-matching tools that reuse the same tiles. LPIPS (Zhang et al., CVPR 2018) correlates better with human judgement. Cell diversity counts the number of visually distinct cells (5-bit-quantised mean colour) — at 0.42 the same Vermeer that looks like a flat halftone in codebox (0.08) is built from ~670 distinct photos out of 1,600 cells.

vivid --cv 4 trades a small amount of bucket diversity (0.424 → 0.384) for an LPIPS gain (0.627 → 0.559) and a ΔE2000 improvement (15.12 → 11.06): the 4× hue-rotated pool gives the cost-matrix more colour matches, so cells get colour-closer tiles instead of more distinct tiles. Pick vivid if cell diversity matters most, vivid --cv 4 if perceptual fidelity does.

python benchmarks/compare_tools.py --target pearl_earring.jpg --grid 40

Python API

from mosaicraft import MosaicGenerator, recolor, rotate_hue_oklch

# Generator
gen = MosaicGenerator(
    tile_dir="./tiles",          # or cache_dir="./cache"
    preset="vivid",              # preset name or dict
    augment=True,                # 4x flip + brightness augmentation
    color_variants=0,            # set to >0 to expand pool via Oklch rotation
)
result = gen.generate("photo.jpg", "mosaic.jpg", target_tiles=2000, tile_size=88)

# Recolor a finished mosaic
recolor("mosaic.jpg", "mosaic_sepia.jpg", preset="sepia")

# Rotate a single tile or patch in Oklch (preserves L exactly)
rotated_bgr = rotate_hue_oklch(tile_bgr, hue_shift_deg=90)

MosaicResult exposes image (numpy BGR), grid_cols, grid_rows, tile_size, output_path, n_tiles.

Helpers:

  • mosaicraft.list_presets() — mosaic preset names.
  • mosaicraft.list_recolor_presets() — recolor preset names.
  • mosaicraft.build_cache(tile_dir, cache_dir, tile_sizes, thumb_size=120) — precompute features.
  • mosaicraft.calc_grid(target_tiles, aspect_w, aspect_h) — pick a grid for a desired cell count.

Lower-level building blocks live in mosaicraft.color, mosaicraft.features, mosaicraft.placement, mosaicraft.blending, mosaicraft.postprocess, mosaicraft.saliency, mosaicraft.color_augment, mosaicraft.recolor, mosaicraft.tiles, and mosaicraft.utils.

Reproducible figures

Every image in this README — hero, before/after, preset comparison, zoom detail, tile sample, paintings gallery, comparison table, recolor gallery — is produced by two self-contained scripts:

# 1. Bootstrap public-domain demo assets (~8 MB, one time).
python scripts/download_demo_assets.py
python scripts/download_demo_assets.py --verify-only   # SHA256 integrity check

# 2. Render figures.
python scripts/generate_readme_figures.py
python scripts/generate_readme_figures.py --quick                 # faster iteration
python scripts/generate_readme_figures.py --target starry_night   # swap target

# 3. Run the OSS comparison benchmark.
python benchmarks/compare_tools.py --target pearl_earring --grid 40

SHA256 and license metadata for every bootstrapped file live in docs/assets/MANIFEST.json. The raw image files are not committed; the manifest is.

Public-domain paintings gallery

All four public-domain targets the scripts can feature — swap with --target {pearl_earring,starry_night,great_wave,red_fuji}.

Testing

pip install -e ".[dev]"
pytest                        # unit + pipeline + CLI tests
ruff check src tests          # lint
bandit -r src -ll             # security scan

Contributing

Bug reports, feature requests, and pull requests are welcome. See CONTRIBUTING.md for the development workflow. Security issues: see SECURITY.md.

License and image credits

MIT License. See LICENSE.

Every figure in this README is reproducible from public-domain / CC0 sources:

  • Target paintings — public domain, via Wikimedia Commons: Johannes Vermeer, Girl with a Pearl Earring (c. 1665); Vincent van Gogh, The Starry Night (1889); Katsushika Hokusai, The Great Wave off Kanagawa (c. 1831) and Fine Wind, Clear Morning (Red Fuji) (c. 1831).
  • Tile pool — 1,024 photographs from picsum.photos (Unsplash-sourced, Unsplash License — effectively CC0).

References

mosaicraft stands on the following classic and modern work:

  • Björn Ottosson, A perceptual color space for image processing (2020, blog). Oklab.
  • Pitié, F. et al., The linear Monge-Kantorovitch linear colour mapping for example-based colour transfer (IET-CVMP 2007). MKL.
  • Reinhard, E. et al., Color transfer between images (IEEE CGA 2001).
  • Zhang, R. et al., The Unreasonable Effectiveness of Deep Features as a Perceptual Metric (CVPR 2018). LPIPS.
  • Wang, Z. et al., Image quality assessment: from error visibility to structural similarity (IEEE TIP 2004). SSIM.
  • Tesfaldet, M. et al., Convolutional Photomosaic Generation via Multi-Scale Perceptual Losses (ECCVW 2018). Multi-scale perceptual loss for photomosaic quality assessment.
  • Burt, P. & Adelson, E., A multiresolution spline with application to image mosaics (ACM ToG 1983). Laplacian pyramid blending.
  • Kuhn, H. W., The Hungarian method for the assignment problem (Naval Research Logistics 1955).

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