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.

翻译：本文提出了一种基于计算机图形学中相量噪声的弹性Rank-N层状结构去均匀化替代方法。所提出的方法改进了现有技术，无需使用任何最小二乘问题或预训练模型即可高效获得高质量的单尺度设计。通过在每个中间步骤利用连续且周期性的平移表示，可以获得适当的尺度与厚度。数值试验验证了所提方法的性能优于当前最先进替代方案，且去均匀化后的设计结构性能与优化均匀化解的偏差在几个百分点以内。基于相量的去均匀化方法天然具有网格无关性和高度并行性，从而支持未来在非结构化网格上实现高效的三维问题扩展。