Towards flattenable mesh surfaces

8 years 2 months ago
Towards flattenable mesh surfaces
In many industries, products are constructed by assembled surface patches in 3, where each patch is expected to have an isometric map to a corresponding region in 2. The widely investigated developable surfaces in differential geometry show this property. However, the method to model a piecewise-linear surface with this characteristic is still under research. To distinguish from the continuous developable surface, we name them as flattenable mesh surfaces since a polygonal mesh has the isometric mapping property if it can be flattened into a two-dimensional sheet without stretching. In this paper, a novel flattenable mesh surface (Flattenable Laplacian mesh) is introduced and the relevant modelling tool is formulated. Moreover, for a given triangular mesh which is almost flattenable, a local perturbation approach is developed to improve its flattenability. The interference between the meshes under process and their nearby objects has been prevented in this local flattenable perturbati...
Charlie C. L. Wang
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2008
Where CAD
Authors Charlie C. L. Wang
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