🧩 As-Rigid-As-Possible (ARAP) Mesh Deformation — From Scratch

A clean and minimal implementation of the ARAP deformation model (as introduced by Sorkine & Alexa, 2007).

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✨ Features

• 🔧 Local Step — SVD-based rotation estimation for each cell
• 🔁 Global Step — Solve the Poisson linear system for vertex updates
• 🎯 Handle Constraints — Arbitrary vertex positions can be fixed
• 🔺 Triangular Mesh Support — Works on general triangle meshes
• 🐍 Pure Python Implementation — Using NumPy + SciPy

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📦 Installation

pip install -r requirements.txt

🎥 Visualization (Open3D)

The deformation result is rendered with Open3D in a native window (requires a local GUI environment).

1. Run python arap_main.py to perform the deformation.
2. An Open3D window opens for handle selection (Shift+LMB drag to box-select, C to clear, Q/Esc to finish).
3. Another Open3D window shows the deformed mesh.