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Mesh Simplification (QEM-based)

This project implements a mesh simplification algorithm using edge collapse and the Quadric Error Metric (QEM), built upon a custom half-edge data structure. It supports three modes of simplification:

🔧 Features

Half-Edge Mesh Data Structure

Efficient mesh representation with support for fast adjacency queries.

1. Single Edge Collapse

Validates and collapses a single edge while preserving manifoldness. Used for debugging and small-step testing.

2. Edge-Length-Based Simplification

Repeatedly collapses the shortest valid edge. Includes edge cost updates and visualization of the collapse priority.

3. QEM Simplification

Implements full QEM for optimal vertex placement and edge cost. Solves a 4x4 linear system for each collapse using a provided numerical solver.

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