Fabricable Dual Shape Tessellations

In recent years,with the growing maturity of digital manufacturing technology,people have a preference for using this technology to create personalized custom artwork with exquisite shapes and novel structures.This type of artworks can be manufactured liberally and efficiently while still maintain high artistic and decorative value.However,current hollow art often uses only the solid part to express a certain outline meaning independently,while the hollow part only serves as a background and has no practical meaning.It is rare to see the hollow structure that enables the solid and the hollow part to clearly show the contours of different patterns respectively.Aiming at the vacancy of this structure,we present a generation method of fabricable dual shape tessellations pattern.With a given pattern,our method use three tiling rules to obtain all kinds of tessellation results from which the intermediate patterns are extracted.Next the candidate patterns resembling to intermediate patterns are retrieved from the data set provided herein,then the two patterns are deformed with the contour features preserved as much as possible.When the dual shape tessellation pattern is combined with the input three-dimensional mesh model by mesh parameterization,the corresponding hollow-out model is generated.Physical analysis and optimization are carried out to make the results possess the strength and connectivity required for digital manufacturing.Finally,we print out the model which enables solid and hollow parts to display different contour.Compared with other hollow artworks,our work innovatively endows the solid and hollow parts with different contour semantics and aesthetic values.And the experimental results also show that the artwork with special geometry hollow structure obtained by our method is improved in artistic and interesting than traditional hollow carving art.