Implicit Neural Representation of Tileable Material Textures

• URL: http://arxiv.org/abs/2402.02208v1
• Date: Sat, 3 Feb 2024 16:44:25 GMT
• Title: Implicit Neural Representation of Tileable Material Textures
• Authors: Hallison Paz, Tiago Novello, Luiz Velho
• Abstract summary: We explore sinusoidal neural networks to represent periodic tileable textures. We prove that the compositions of sinusoidal layers generate only integer frequencies with period $P$. Our proposed neural implicit representation is compact and enables efficient reconstruction of high-resolution textures.
• Score: 1.1203075575217447
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We explore sinusoidal neural networks to represent periodic tileable textures. Our approach leverages the Fourier series by initializing the first layer of a sinusoidal neural network with integer frequencies with a period $P$. We prove that the compositions of sinusoidal layers generate only integer frequencies with period $P$. As a result, our network learns a continuous representation of a periodic pattern, enabling direct evaluation at any spatial coordinate without the need for interpolation. To enforce the resulting pattern to be tileable, we add a regularization term, based on the Poisson equation, to the loss function. Our proposed neural implicit representation is compact and enables efficient reconstruction of high-resolution textures with high visual fidelity and sharpness across multiple levels of detail. We present applications of our approach in the domain of anti-aliased surface.

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