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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)295-303
JournalComputers & Graphics
Publication statusPublished - 2019


  • Lead Topic: Visual Computing as a Service
  • Research Area: Modeling (MOD)
  • 3D Printing
  • Subdivision
  • Material definitions
  • Computational geometry

Fields of Expertise

  • Information, Communication & Computing


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