Technical Specification: Interactive Voronoi Diagram & Lloyd's Relaxation Tool

Overview

A high-performance, single-file, browser-based utility for generating Voronoi diagrams and applying Lloyd's Algorithm to achieve Centroidal Voronoi Tessellation (CVT). The tool prioritizes a clean, minimalist aesthetic, focusing on smooth interactivity and instant visual feedback.

Core Functionality

• Dynamic Point Placement: Users click on the canvas to add seeds. Dragging existing seeds updates the diagram in real-time.
• Lloyd's Algorithm Relaxation: A 'Relax' button that executes the algorithm iteratively, shifting points toward the center of their Voronoi cells.
• Configurable Settings:
  • Iteration Count (for animation loop).
  • Point Density Controls.
  • Color Palette/Stroking toggles.
• Export: Generate high-resolution PNG or vector-ready SVG files of the current state.

UI/UX Design

• Layout:
  • Header: Contains the app title and an "About" modal trigger.
  • Toolbar (Top): Responsive container holding Action Buttons (Add, Clear, Relax, Export) and Settings (Slider for iterations, Toggle for showing/hiding seeds).
  • Canvas Area: Large, central focus area with a subtle drop-shadow and rounded corners. Must handle resizing.
• Aesthetic:
  • Color Palette: Off-white backgrounds (#F9FAFB), crisp borders (#E5E7EB), vibrant accent colors for seeds (#4F46E5 - Indigo), and dark slate for text (#111827).
  • Animations: CSS transitions on button hover (0.2s ease), smooth fading for modal interactions, and fluid canvas updates using requestAnimationFrame.

Implementation Directives

• Architecture: Single file (HTML/CSS/JS). Use <script> tags for D3.js or similar libraries if needed to handle Voronoi triangulation math.
• Constraints:
  • No Storage: Do not use localStorage. State management must be handled entirely in volatile memory.
  • Sandbox Compatibility: No alert(), confirm(), or prompt(). Create custom CSS-based modals for user interactions.
  • Browser Compatibility: Must use pure Vanilla JavaScript for event handling and DOM manipulation.
  • Performance: Use Canvas API for rendering high volumes of points. Optimize the relaxation loop to run 60FPS where possible.
• Responsiveness: Implement a flexible grid system. The canvas should fill available space while maintaining aspect ratio or scaling to fit the mobile device's viewport.

Developer Checklist

• Ensure all assets are linked via CDN (no local files).
• Verify no localStorage usage.
• Test on Chrome, Firefox, and Safari for responsive canvas behaviors.
• Ensure clean, descriptive HTML semantic tags (e.g., <main>, <header>, <nav>).