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Efficient slicing of Catmull-Clark solids for 3D printed objects with functionally graded material

: Luu, Thu Huong; Altenhofen, Christian; Ewald, Tobias; Stork, André; Fellner, Dieter W.


Computers and Graphics 82 (2019), S.295-303
ISSN: 0097-8493
European Commission EC
H2020; 825030; QU4LITY
Digital Reality in Zero Defect Manufacturing
Fraunhofer-Gesellschaft FhG
600288; futureAM
Next Generation Additive Manufacturing
Fraunhofer IGD ()
Lead Topic: Visual Computing as a Service; Research Line: Modeling (MOD); 3D printing; subdivision; material definitions; computational geometry

In the competition for the volumetric representation most suitable for functionally graded materials in additively manufactured (AM) objects, volumetric subdivision schemes, such as Catmull–Clark (CC) solids, are widely neglected. Although they show appealing properties, efficient implementations of some fundamental algorithms are still missing. In this paper, we present a fast algorithm for direct slicing of CC-solids generating bitmaps printable by multi-material AM machines. Our method optimizes runtime by exploiting constant time limit evaluation and other structural characteristics of CC-solids. We compare our algorithm with the state of the art in trivariate trimmed spline representations and show that our algorithm has similar runtime behavior as slicing trivariate splines, fully supporting the benefits of CC-solids.