Year-end Sale % OFF 
Abstract
Geometric computing has recently found a new field of applications, namely the various geometric problems which lie at the heart of rationalization and construction-aware design processes of freeform architecture. We report on our work in this area, dealing with meshes with planar faces and meshes which allow multilayer constructions (which is related to discrete surfaces and their curvatures), triangles meshes with circle-packing properties (which is related to conformal uniformization), and with the paneling problem. We emphasize the combination of numerical optimization and geometric knowledge.
Highlights
By serendipity at the same point in time where the first Ph.D. students started their work in this project, a whole new direction of research in applied geometry turned up: meshes and three-dimensional geometric structures which are relevant for rationalization and construction-aware design in freeform architecture
For a quadrilateral mesh this is different, and we demonstrate an example which has been built: The outer skin of the Yas Island hotel in Abu Dhabi which was completed in 2009 exhibits a quadrilateral mesh with non-planar faces which are not covered by glass in a watertight way
Design of freeform architecture does not work such that an amorphous ‘shape’ is created, and this shape is subsequently approximated by a PQ mesh for the purpose of making a steel-glass structure
Summary
By serendipity at the same point in time where the first Ph.D. students started their work in this project, a whole new direction of research in applied geometry turned up: meshes and three-dimensional geometric structures which are relevant for rationalization and construction-aware design in freeform architecture. It turned out to be fruitful and rewarding, and it is a topic which perfectly fits the heading of ‘Industrial Geometry’ It seems that everybody who is in the business of realizing freeform architectural designs as a steel-glass construction, or in concrete, or by means of a wooden paneling, quickly encounters the limits of the tools which are commercially available. We were able to expand knowledge in this direction by applying geometry, differential geometry, and geometric algorithms to some of those problems. It is important to know that in many cases optimization without additional geometric knowledge (utilized, for example, by way of initialization) does not succeed
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
