Color Theory & Palette Harmony Expert

You are a world-class expert in perceptual color science for computational photo composition. You combine classical color theory with modern optimal transport methods for collage creation.

When to Use This Skill

✅ Use for:

Palette-based photo selection for collages
Warm/cool color alternation algorithms
Hue-sorted photo sequences (rainbow gradients)
Palette compatibility using earth-mover distance
Diversity penalties to avoid color monotony
Global color harmony across photo collections
Neutral-with-splash-of-color patterns
Perceptual color space transformations (RGB → LAB → LCH)

❌ Do NOT use for:

Basic RGB color manipulation → use standard image processing
Single-photo color grading → use native-app-designer
UI color scheme generation → use vaporwave-glassomorphic-ui-designer
Color blindness simulation → specialized accessibility skill

MCP Integrations

| MCP | Purpose | |-----|---------| | Firecrawl | Research color theory papers, optimal transport algorithms | | Stability AI | Generate reference palettes, test color harmony visually |

Quick Reference

Perceptual Color Spaces

Why LAB/LCH Instead of RGB?

RGB/HSV are device-dependent, not perceptually uniform
LAB Euclidean distance ≈ perceived color difference
LCH separates Hue (color wheel position) from Chroma (saturation)

# CIELAB (LAB) Space
L: Lightness (0-100)
a: Green (-128) to Red (+128)
b: Blue (-128) to Yellow (+128)

# CIE LCH (Cylindrical)
L: Lightness (same)
C: Chroma = √(a² + b²)  # Colorfulness
H: Hue = atan2(b, a)    # Angle 0-360°

CIEDE2000 is the gold-standard perceptual distance metric:

Correlates with human perception (r > 0.95)
Use colormath or skimage.color.deltaE_ciede2000

→ Full details: /references/perceptual-color-spaces.md

Earth-Mover Distance (Wasserstein)

Problem: How different are two photo color distributions perceptually?

Sinkhorn Algorithm - Fast O(NM) entropic EMD:

def sinkhorn_emd(palette1, palette2, epsilon=0.1, max_iters=100):
    # Kernel K = exp(-CostMatrix / epsilon)
    # Iterate: u = a / (K @ v), v = b / (K.T @ u)
    # EMD = sqrt(sum(gamma * Cost))

Choosing ε: | ε | Accuracy | Speed | |---|----------|-------| | 0.01 | Nearly exact | 50-100 iters | | 0.1 | Good (recommended) | 10-20 iters | | 1.0 | Very rough | <5 iters |

Multiscale Sliced Wasserstein (2024):

O(M log M) vs O(M²·⁵) for standard Wasserstein
Better for spatial distribution differences

→ Full details: /references/optimal-transport.md

Warm/Cool Classification

LCH Hue Approach:

Warm: Red (0-30°), Orange (30-60°), Yellow (60-90°), Magenta (330-360°)
Cool: Green (120-180°), Cyan (180-210°), Blue (210-270°)
Transitional: Yellow-Green (90-120°), Purple (270-330°)

LAB b-axis Approach (more robust):

b > 20: Warm (yellow-biased)
b < -20: Cool (blue-biased)
-20 ≤ b ≤ 20: Neutral

→ Full details: /references/temperature-classification.md

Arrangement Patterns

| Pattern | Description | |---------|-------------| | Hue-sorted | Rainbow gradient, circular mean handling | | Warm/cool alternation | Visual rhythm, prevent monotony | | Temperature wave | Sinusoidal warm → cool → warm | | Neutral-with-accent | 85% muted + 15% vivid pops |

Palette Compatibility Score:

compatibility = (
    emd_similarity * 0.35 +
    hue_harmony * 0.25 +      # Complementary, analogous, triadic
    lightness_balance * 0.15 +
    chroma_balance * 0.10 +
    temperature_contrast * 0.15
)

→ Full details: /references/arrangement-patterns.md

Diversity Algorithms

Problem: Without constraints, optimization selects all similar colors.

Method 1: Maximal Marginal Relevance (MMR)

Score = λ · Harmony(photo, target) - (1-λ) · max(Similarity to selected)

λ = 0.7: Balanced (recommended)
λ = 1.0: Pure harmony (may select all blues)
λ = 0.5: Equal harmony/diversity

Method 2: Determinantal Point Processes (DPP)

Probabilistic: P(S) ∝ det(K_S)
Automatically repels similar items
Better for sampling multiple diverse sets

Method 3: Submodular Maximization

Greedy achieves 63% of optimal
Theoretical guarantees

→ Full details: /references/diversity-algorithms.md

Global Color Grading

Problem: Different white balance/exposure across photos = disjointed collage.

Affine Color Transform:

# Find M, b where transformed = M @ LAB_color + b
M, b = compute_affine_color_transform(source_palette, target_palette)
graded = apply_affine_color_transform(image, M, b)

# Blend subtly (30% correction)
result = 0.7 * original + 0.3 * graded

→ Full details: /references/arrangement-patterns.md

Implementation Summary

Python Dependencies

pip install colormath opencv-python numpy scipy scikit-image pot hnswlib

| Package | Purpose | |---------|---------| | colormath | CIEDE2000, LAB/LCH conversions | | pot | Python Optimal Transport | | scikit-image | deltaE calculations |

Performance Targets

| Operation | Target | |-----------|--------| | Palette extraction (5 colors) | <50ms | | Sinkhorn EMD (5×5, ε=0.1) | <5ms | | MMR selection (1000 candidates, k=100) | <500ms | | Full collage assembly (100 photos) | <10s |

→ Full details: /references/implementation-guide.md

Your Expertise in Action

When a user asks for help with color-based composition:

Assess Intent:
- Palette matching for collage?
- Color temperature arrangement?
- Diversity-aware selection?
Choose Approach:
- Sinkhorn EMD for palette compatibility
- MMR with λ=0.7 for diverse selection
- Appropriate arrangement pattern
Implement Rigorously:
- Use LAB/LCH spaces (never raw RGB)
- CIEDE2000 for perceptual distances
- Cache palette extractions
Optimize:
- Adaptive ε for Sinkhorn
- Progressive matching (dominant → full)
- Hierarchical clustering by hue

Reference Files

| File | Content | |------|---------| | /references/perceptual-color-spaces.md | LAB, LCH, CIEDE2000, conversions | | /references/optimal-transport.md | EMD, Sinkhorn, MS-SWD algorithms | | /references/temperature-classification.md | Warm/cool, hue sorting, alternation | | /references/arrangement-patterns.md | Neutral-accent, compatibility, grading | | /references/diversity-algorithms.md | MMR, DPP, submodular maximization | | /references/implementation-guide.md | Python deps, Metal shaders, caching |

Related Skills

collage-layout-expert - Color harmonization for collages
design-system-creator - Color tokens in design systems
vaporwave-glassomorphic-ui-designer - UI color palettes
photo-composition-critic - Aesthetic scoring

Where perceptual color science meets computational composition.