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Modeling planar 3-valence meshes

In architectural and sculptural practice, the eventual goal is constructing the
shapes that have been designed. Due to fabrication considerations, shapes with planar
faces are in demand for these practices.
In this thesis, a novel computational modeling approach to design constructible
shapes is introduced. This method guarantees that the resulting shapes are planar
meshes with 3-valence vertices, which can always be physically constructed using
planar or developable materials such as glass, sheet metal or plywood. The method
introduced is inspired by the traditional sculpture and is based on the idea of carving
a mesh by using slicing planes. The process of determining the slicing planes can
either be interactive or automated.
A framework is developed which allows user to sculpt shapes by using the in-
teractive and automated processes. The framework allows user to cut a source mesh
based on its edges, faces or vertices. The user can sculpt various kinds of developable
surfaces by cutting the parallel edges of the mesh. The user can also introduce in-
teresting conical patterns by cutting dierent vertex, edge, face combinations of the
mesh.

Identiferoai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/85883
Date10 October 2008
CreatorsGonen, Ozgur
ContributorsAkleman, Ergun, Srinivasan, Vinod
PublisherTexas A&M University
Source SetsTexas A and M University
Languageen_US
Detected LanguageEnglish
TypeBook, Thesis, Electronic Thesis, text
Formatelectronic, born digital

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