Reducing the Gibbs effect in multimodal medical imaging by the Fake Nodes Approach

التفاصيل البيبلوغرافية
العنوان: Reducing the Gibbs effect in multimodal medical imaging by the Fake Nodes Approach
المؤلفون: Poggiali, Davide, Cecchin, Diego, De Marchi, Stefano
سنة النشر: 2022
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis, Computer Science - Computer Vision and Pattern Recognition, 68U10, 65D05, 41A15
الوصف: It is a common practice in multimodal medical imaging to undersample the anatomically-derived segmentation images to measure the mean activity of a co-acquired functional image. This practice avoids the resampling-related Gibbs effect that would occur in oversampling the functional image. As sides effect, waste of time and efforts are produced since the anatomical segmentation at full resolution is performed in many hours of computations or manual work. In this work we explain the commonly-used resampling methods and give errors bound in the cases of continuous and discontinuous signals. Then we propose a Fake Nodes scheme for image resampling designed to reduce the Gibbs effect when oversampling the functional image. This new approach is compared to the traditional counterpart in two significant experiments, both showing that Fake Nodes resampling gives smaller errors.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2202.10325
رقم الأكسشن: edsarx.2202.10325
قاعدة البيانات: arXiv