Phasor Noise for Dehomogenisation in 2D Multiscale Topology Optimisation

Rebekka V. Woldseth*, J. Andreas Bærentzen, Ole Sigmund

*Corresponding author for this work

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This paper presents an alternative approach to dehomogenisation of elastic Rank-N laminate structures based on the computer graphics discipline of phasor noise. The proposed methodology offers an improvement of existing methods, where high-quality single-scale designs can be obtained efficiently without the utilisation of any least-squares problem or pre-trained models. By utilising a continuous and periodic representation of the translation at each intermediate step, appropriate length-scale and thicknesses can be obtained. Numerical tests verifies the performance of the proposed methodology compared to state-of-the-art alternatives, and the dehomogenised designs achieve structural performance within a few percentages of the optimised homogenised solution. The nature of the phasor-based dehomogenisation is inherently mesh-independent and highly parallelisable, allowing for further efficient implementations and future extensions to 3D problems on unstructured meshes.
Original languageEnglish
Article number116551
JournalComputer Methods in Applied Mechanics and Engineering
Volume418, Part B
Number of pages41
Publication statusPublished - 2024


  • Topology Optimisation
  • Dehomogenisation
  • Multiscale
  • Procedural noise
  • Phasor field


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