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Rationalizing Architectural Surfaces Based on Clustering of Joints.
Summary
This study presents a novel method for clustering 3D mesh vertices to reduce architectural fabrication costs. By grouping similar joints, the approach significantly cuts costs without altering the original design connectivity.
Area of Science:
- Computational Geometry
- Computer-Aided Design (CAD)
- Architectural Engineering
Background:
- Value engineering in architecture necessitates cost reduction in fabrication.
- Existing methods may alter design connectivity, which is undesirable.
Purpose of the Study:
- To develop a method for clustering 3D mesh vertices to reduce fabrication costs.
- To reduce the number of unique joints in architectural meshes.
Main Methods:
- Derived a max-norm based metric for geometric disparity between vertices.
- Developed clustering algorithms using max-norm and L2-norm metrics.
- Introduced a remeshing algorithm to further reduce joint clusters.
- Utilized Sequential Quadratic Programming (SQP) for distance computation.
Main Results:
- Established an equivalence between mesh vertices and physical joints.
- Demonstrated significant reduction in unique joints and fabrication costs.
- Validated the framework on real-world architectural surfaces.
Conclusions:
- The proposed vertex clustering framework effectively reduces fabrication costs for architectural meshes.
- The method preserves the underlying connectivity specified by architects.
- Offers a practical solution for cost optimization in architectural projects.
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