svd

SVD Image Compression - Screenshots

This folder contains project screenshots showcasing the various features and interfaces of the SVD Image Compression application developed for MATH 3120: Numerical Linear Algebra at the University of Pennsylvania.

Screenshot Overview

📱 main-interface.png

Main Application Interface

• Shows the welcome section with sci-fi themed design
• Features the matrix rain background effects
• Displays the primary navigation and introduction to SVD concepts
• Demonstrates the professional educational interface designed for MATH 3120 students

🔢 matrix.png

Matrix Visualization Interface

• Displays interactive matrix representation of image data
• Shows how images are converted to numerical matrices for SVD processing
• Demonstrates the fundamental concept of representing visual data mathematically
• Features the educational tool for understanding the bridge between linear algebra theory and image processing

📊 compression-performance.png

Performance Analytics Dashboard

• Shows real-time processing metrics and performance analytics
• Displays compression ratios, quality scores, processing times, and memory usage
• Demonstrates computational complexity insights for SVD algorithms
• Features educational tools for understanding algorithm efficiency and optimization

🧠 quiz.png

Interactive Quiz Interface

• Displays the educational quiz system for testing SVD concept understanding
• Shows questions about singular value decomposition and image compression
• Demonstrates interactive learning tools for MATH 3120 concepts
• Features immediate feedback and educational reinforcement mechanisms

🏗️ architecture-diagram.svg

System Architecture Diagram

• Comprehensive technical overview of the client-side application structure
• Shows data flow within the browser between UI, workers, and mathematical processing components
• Demonstrates how academic algorithms integrate with modern client-side architecture
• Features scalable vector graphics for detailed technical documentation

📈 compression-comparison.svg

Compression Analysis Visualization

• Interactive SVG diagram comparing original vs compressed images
• Shows detailed metrics and mathematical analysis of compression effectiveness
• Demonstrates visual feedback on different SVD rank approximations
• Features dynamic visualization of compression quality trade-offs

Usage in Documentation

These screenshots are referenced throughout the main project README.md file to:

1. Showcase Functionality: Provide visual evidence of the application’s capabilities
2. Educational Value: Demonstrate how mathematical concepts are visualized
3. User Experience: Show the professional interface design and user interactions
4. Academic Context: Illustrate the educational tools created for MATH 3120

Technical Details

• Format: PNG (Portable Network Graphics)
• Resolution: High-resolution screenshots optimized for documentation
• Naming Convention: Descriptive names that clearly indicate content
• Usage: Embedded in markdown documentation with detailed descriptions

File Specifications

Screenshot	Format	Purpose	Key Features Shown
main-interface.png	PNG	Landing page overview	Welcome section, navigation, design theme
matrix.png	PNG	Matrix visualization	Numerical representation, data conversion
compression-performance.png	PNG	Performance analytics	Metrics, processing time, computational insights
quiz.png	PNG	Educational assessment	Interactive learning, concept testing
architecture-diagram.svg	SVG	System architecture	Technical overview, component relationships
compression-comparison.svg	SVG	Compression analysis	Visual comparison, quality metrics, effectiveness

Academic Context

These screenshots document the final project for MATH 3120: Numerical Linear Algebra at the University of Pennsylvania, demonstrating the practical application of course concepts in a professional web application. Each image showcases different aspects of how Singular Value Decomposition theory is implemented and visualized for educational purposes.

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Screenshots captured from the SVD Image Compression application
MATH 3120 Final Project - Fall 2024
University of Pennsylvania, School of Engineering and Applied Science