Survey of Meshing Techniques for Architecture

Last Updated: November 28, 2008

Having read several papers on meshing techniques for architecture, we made a comparison on these schemes. The table below summarizes our findings. Some of the entries aren't completely accurate, and some we were not quite sure what to enter.

Scheme Year Presenter Surfaces Faces Mesh Key Technique

A parametric strategy for free-form glass structures using quadrilateral planar facets 2004 Alex E Tensor Product Quad Parallelogram By Construction

Geometric modeling with conical meshes and developable surfaces. 2006 Eugene Conical/Developable Quad Conical Optimization

The focal geometry of circular and conical meshes. 2006 Murtaza --- Quad Circular/conical Theoretical Results

Discrete surfaces for architectural design. 2006 Jie --- --- -- Survey

Constrained Planar Remeshing for Architecture 2007 Zainab NURBS/Subdivision n-sided --- Iterative averaging

Geometry of multi-layer freeform structures for architecture 2007 Tiantian Freeform Quad/Pent/Hex parallel nonlinear optimization

Freeform surfaces from single curved panels. 2008 Adam Freeform Single curved Quad Optimization

Scheme	Year	Presenter	Surfaces	Faces	Mesh	Key Technique
A parametric strategy for free-form glass structures using quadrilateral planar facets	2004	Alex E	Tensor Product	Quad	Parallelogram	By Construction
Geometric modeling with conical meshes and developable surfaces.	2006	Eugene	Conical/Developable	Quad	Conical	Optimization
The focal geometry of circular and conical meshes.	2006	Murtaza	---	Quad	Circular/conical	Theoretical Results
Discrete surfaces for architectural design.	2006	Jie	---	---	--	Survey
Constrained Planar Remeshing for Architecture	2007	Zainab	NURBS/Subdivision	n-sided	---	Iterative averaging
Geometry of multi-layer freeform structures for architecture	2007	Tiantian	Freeform	Quad/Pent/Hex	parallel	nonlinear optimization
Freeform surfaces from single curved panels.	2008	Adam	Freeform	Single curved	Quad	Optimization

Legend:

Surfaces - what types of surface are the meshes created from?
Faces - How many sides do the resulting faces have?
Mesh - What special properties do the resulting meshes have?
Key Technique - What's the key technique to obtain the desired mesh?