Interactive Math Canvas

A web-based drawing application that recognizes handwritten mathematical expressions and provides real-time calculations with visual feedback.

Pragnya Overview

🎯 Project Overview

An intelligent canvas application that combines freehand drawing with mathematical expression recognition. Users can draw equations naturally, and the system automatically detects, interprets, and solves mathematical expressions while maintaining a smooth drawing experience.

✨ Key Features

Drawing Tools

Brush Tool - Natural drawing with customizable colors
Eraser Tool - Precise erasing with adjustable size
Color Picker - Full spectrum color selection
Size Controls - Dynamic brush/eraser sizing

Smart Math Recognition

Handwriting Detection - Converts drawn math expressions to LaTeX
Real-time Processing - Instant mathematical computation
Visual Feedback - Overlay results directly on canvas
Expression History - Maintains record of solved equations

User Experience

Keyboard Shortcuts - Professional hotkey support
Undo/Redo System - Complete action history with instant recovery
Responsive Design - Works across different screen sizes

🚀 Technical Highlights

Canvas Management

// State-driven canvas with real-time updates
const [isDrawing, setIsDrawing] = useState(false);
const [canvasHistory, setCanvasHistory] = useState([]);
const [historyStep, setHistoryStep] = useState(-1);

Smart Drawing Logic

// Pressure-sensitive drawing with smooth curves
const handleMouseMove = (e) => {
  if (!isDrawing) return;
  // Custom drawing algorithm with optimized performance
};

Keyboard Integration

// Professional shortcuts for enhanced workflow
useEffect(() => {
  const handleKeyDown = (event) => {
    if (event.ctrlKey && event.key === 'z') handleUndo();
    if (event.key === 'b') setBrushMode();
    if (event.key === 'e') setEraserMode();
  };
}, []);

🎮 Keyboard Shortcuts

Shortcut	Action
`Ctrl + Z`	Undo last action
`Ctrl + Y`	Redo action
`B`	Switch to brush tool
`E`	Switch to eraser tool
`Ctrl + Shift + >`	Increase brush size
`Ctrl + Shift + <`	Decrease brush size

🛠️ Technology Stack

Frontend: React with TypeScript
Canvas API: HTML5 Canvas with custom drawing engine
Math Processing: LaTeX recognition and computation
State Management: React Hooks with optimized re-renders
Styling: Modern CSS with responsive design

💡 Core Innovations

Intelligent Expression Detection

Advanced algorithms to recognize mathematical notation
Context-aware parsing of complex equations
Real-time validation and error handling

Performance Optimization

Efficient canvas rendering with minimal redraws
Lazy loading for complex mathematical computations
Memory-optimized history management

Intuitive User Interface

Natural drawing experience with pressure sensitivity
Visual feedback for tool selection and sizing
Seamless transition between drawing and calculation modes

🎨 Design Philosophy

The application prioritizes natural interaction over complex menus. Users can focus on their mathematical thinking while the interface adapts intelligently to their needs. Every feature is designed to feel intuitive and responsive.

🔧 Key Challenges Solved

Canvas State Management - Efficient undo/redo with large drawing data
Math Recognition Accuracy - Balancing speed with precision in expression detection
Performance at Scale - Maintaining smooth drawing with complex calculations
Cross-platform Compatibility - Consistent experience across devices

📈 Future Enhancements

Advanced gesture recognition for geometric shapes
Collaborative drawing with real-time synchronization
Export functionality for mathematical expressions
Integration with external mathematical libraries

This project demonstrates proficiency in React ecosystem, canvas manipulation, mathematical computing, and user experience design.

प्रज्ञा.AI

Technologies