Exact Face-Offsetting for Polygonal Meshes (2015)
article⁄Exact Face-Offsetting for Polygonal Meshes (2015)
abstract⁄Planarfaced mesh surfaces such as triangular meshes are frequently used in an architectural setting. Faceoffsetting operations generate a new mesh whose face planes are parallel and at a fixed distance from the face planes of the original surface. Faceoffsetting is desirable to give thickness or layers to architectural elements. Yet, this operation does not generically preserve the combinatorial structure of the offset mesh. Current approaches to this problem are to restrict the geometry of the original mesh to ensure that the combinatorial structure of the underlying mesh is preserved. We present a general algorithm for faceoffsetting polygonal meshes that places no restriction on the original geometry. The algorithm uses graph duality to describe the range of possible combinatorial outcomes at each vertex of the mesh. This approach allows the designer to specify independent offset distances for each face plane. The algorithm also produces a ‘perpendicular’ structure joining the original mesh with the offset mesh, that consists of only planar elements i.e. beams.
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| Year |
2015 |
| Authors |
Ross, Elissa; Hambleton, Daniel. |
| Issue |
ACADIA 2105: Computational Ecologies: Design in the Anthropocene |
| Pages |
203-210 |
| Library link |
N/A |
| Entry filename |
exact-face-offsetting-polygonal-meshes |
