Despite significant advancements in manufacturing technology and cost optimization, discrete equivalence class modeling in complex surface design still presents challenges in balancing geometric similarity, aesthetic quality, and manufacturing accuracy.
Weingarten surfaces are characterized by a functional relation between their principal curvatures. Such a specialty makes them suitable for building surface paneling in architectural applications, as the curvature relation implies approximate local congruence on the surface thus the molds for paneling can be largely reused.
In this paper we investigate geometric properties and modeling capabilities of quad meshes with planar faces whose mesh polylines enjoy the additional property of being contained in a single plane.
In this paper, we study how to computationally and intuitively model D-Forms. We present an optimisation-based framework that can efficiently generates D-Form shapes.Our framework can model D-Forms with two approaches based on two different user inputs, including the forward modelling from two given planar domains and, more importantly, the inverse modelling from a given space curve where the planar domains are no longer needed.
We address the computational design of architectural structures which are based on a grid of intersecting beams that are aligned with the parameter lines of a quad mesh.