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This research introduces a Dual-Domain Equivariant Generative Adversarial Network that significantly improves multimodal CT-PET image synthesis by jointly optimizing spatial and frequency domains while enforcing rotational equivariance. By integrating geometric consistency directly into the training loss, the model achieves superior structural fidelity compared to traditional GANs operating solely in the spatial domain. This advancement offers a robust solution for medical imaging tasks requiring high anatomical accuracy, such as PET completion and data augmentation.
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Dual-Domain Equivariant Generative Adversarial Network for Multimodal CT-PET Synthesis

arXiv2 min read

arXiv:2606.13341v1 Announce Type: cross Abstract: We present a Dual-Domain Equivariant Generative Adversarial Network (DDE-GAN) for multimodal CT-PET image synthesis. Traditional GAN-based approaches often operate solely in the spatial domain and ignore geometric consistency, resulting in limited structural fidelity. DDE-GAN addresses these challenges by jointly learning from both spatial and frequency (Fourier) domains, capturing complementary anatomical and spectral information. Furthermore, rotational equivariance embedded in the physics of the CT and PET measurements are integrated into the loss of both the generator and discriminator to ensure consistent responses under rotations, improving anatomical accuracy. A hierarchical dual-domain training strategy enforces intra- and inter-domain consistency through multi-stage loss functions. Evaluated on the HECKTOR 2022 CT-PET dataset, DDE-GAN achieves superior synthesis quality over baseline models for CT-PET image synthesis. The results demonstrate that combining dual-domain learning with geometric equivariance substantially enhances multimodal image synthesis accuracy and robustness, enabling practical applications in PET completion and data augmentation.

Abstract:We present a Dual-Domain Equivariant Generative Adversarial Network (DDE-GAN) for multimodal CT-PET image synthesis. Traditional GAN-based approaches often operate solely in the spatial domain and ignore geometric consistency, resulting in limited structural fidelity. DDE-GAN addresses these challenges by jointly learning from both spatial and frequency (Fourier) domains, capturing complementary anatomical and spectral information. Furthermore, rotational equivariance embedded in the physics of the CT and PET measurements are integrated into the loss of both the generator and discriminator to ensure consistent responses under rotations, improving anatomical accuracy. A hierarchical dual-domain training strategy enforces intra- and inter-domain consistency through multi-stage loss functions. Evaluated on the HECKTOR 2022 CT-PET dataset, DDE-GAN achieves superior synthesis quality over baseline models for CT-PET image synthesis. The results demonstrate that combining dual-domain learning with geometric equivariance substantially enhances multimodal image synthesis accuracy and robustness, enabling practical applications in PET completion and data augmentation.

Computer Vision and Pattern Recognition (cs.CV); Artificial Intelligence (cs.AI); Medical Physics (physics.med-ph)

arXiv:2606.13341 [cs.CV]

(or arXiv:2606.13341v1 [cs.CV] for this version)

https://doi.org/10.48550/arXiv.2606.13341 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

https://doi.org/10.1109/ISBI61048.2026.11515956 Focus to learn more DOI(s) linking to related resources

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Full text under the publisher's open licence · 259 words

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