Surface and contour-preserving origamic architecture paper pop-ups

Area of Science:

• Computer Graphics
• Computational Geometry
• Digital Art

Background:

• Origamic architecture (OA) is a complex papercraft technique for creating 3D pop-up structures.
• Designing OA models demands significant skill due to strict geometric and physical constraints.
• Existing methods struggle to accurately represent complex 3D models as foldable pop-ups.

Purpose of the Study:

• To develop an automated algorithm for generating origamic architecture designs from input 3D models.
• To ensure the foldability and stability of generated pop-up structures through novel geometric conditions.
• To improve the fidelity of automated OA designs compared to existing methods.

Main Methods:

• An image-domain approach is employed, involving surface segmentation of the 3D model.
• Each segmented surface is represented by a set of parallel patches.
• Patches are algorithmically modified to ensure the final structure is foldable and stable.

Main Results:

• The algorithm generates valid pop-up structures, overcoming limitations of previous methods.
• Generated designs demonstrate superior preservation of contours, surfaces, and volume compared to existing techniques.
• The automated designs closely resemble those created by human artists.

Conclusions:

• The proposed method offers an effective solution for automating origamic architecture design.
• The novel geometric conditions guarantee the physical integrity of the pop-up structures.
• This approach significantly advances the state-of-the-art in computational origami and 3D model representation.