Konstantinos Gavriil - Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces
30 May 2018 –
Motivated by applications from architecture and design, we present a novel optimization method for the problem of increasing the developability of an arbitrary surface. We base our method on the property that the Gauss image of a developable surface is 1-dimensional and can be locally well approximated by planar and thus circular Gauss images. A variation of the main method allows us to tackle the problem of paneling a freeform surface with (rotational) cylindrical, (rotational) conical and planar panels, which are the main preferred types of developable panels in architecture due to the reduced cost of manufacturing.
Konstantinos Gavriil (Evolute, Vienna, ARCADES fellow)