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3D Geological Image Synthesis From 2D Examples Using Generative Adversarial Networks

Guillaume Coiffier, Philippe Renard, Sylvain Lefèbvre

2020Frontiers in Water24 citationsDOIOpen Access PDF

Abstract

Generative Adversarial Networks (GAN) are becoming an alternative to Multiple-point Statistics (MPS) techniques to generate stochastic fields from training images. But a difficulty for all the training image based techniques (including GAN and MPS) is to generate 3D fields when only 2D training data sets are available. In this paper, we introduce a novel approach called Dimension Augmenter GAN (DiAGAN) enabling GANs to generate 3D fields from 2D examples. The method is simple to implement and is based on the introduction of a random cut sampling step between the generator and the discriminator of a standard GAN. Numerical experiments show that the proposed approach provides an efficient solution to this long lasting problem.

Topics & Concepts

DiscriminatorGenerator (circuit theory)Generative grammarComputer scienceDimension (graph theory)Image (mathematics)Adversarial systemPoint (geometry)Simple (philosophy)Artificial intelligenceRandom number generationImage synthesisSampling (signal processing)AlgorithmTheoretical computer scienceMathematicsComputer visionPure mathematicsTelecommunicationsPhilosophyGeometryPhysicsFilter (signal processing)EpistemologyQuantum mechanicsDetectorPower (physics)Image Processing and 3D ReconstructionSoil Geostatistics and MappingLandslides and related hazards