Surface Optimization Design Based on Conjugate-Geodesic Quadrilateral Diagonal Mesh Duality

Key Points

• This research aims to address cost and structural performance issues in freeform architectural surfaces by proposing a mesh optimization method.
• Constructed a hybrid quadrilateral mesh model combining conjugate and geodesic elements
• Developed an optimization algorithm integrating geometric constraints and interactive design
• Implemented design solutions including initial mesh generation and interactive morphological adjustments
• Achieved planarity in curtain wall units with the new optimization method
• Significant improvement in structural stability through optimized geodesic diagonal layouts
• Demonstrated both geometric accuracy and engineering feasibility for lightweight, low-cost complex designs