by Henrik Zimmer (Aachen)
Thursday July 11th at 2pm in Byron blanc
A hot topic in modern architecture is the efficient rationalization of
freeform designs. An important class of structures tightly related to
geometry processing are frame (or mesh) supported structures, where
fabrication costs can quickly skyrocket when not just the frame, but
also panels are involved. Approaches to reduce panel-induced fabrication
costs generally either minimize the number of different panels (or molds
used to create panels) or optimize geometric properties of panels (such
as planarity).
This work focuses on frame-based support structures consisting of two
dual layers, so called Dual-Layer Support Structures. We describe the
fabricational optimization of two such different, but related,
structures.
Generalizing Point-Folding Structures to freeform surfaces requires
reducing the diversity of the molds used for panel manufacturing. We
present a~rationalization approach based on a non-trivial problem
parametrization, which maps the rationalization task to a geometric
intersection problem and show how this can be solved with very high
accuracy while respecting aesthetic and production hard-constraints.
Rationalization gains of over 90% are achieved.
Furthermore, we introduce a~variational re-formulation of tangent plane
intersections for computing planar polygon meshes, and equip it with
additional degrees of freedom to allow for the integration of various
objectives and constraints. By use of appropriate constraints we show
how it can be used to compute intersection free (dual) Space Frame
Structures with planar panels.
