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Vision Transformers for Medical Image Segmentation: A Comprehensive Survey

Chen Wei, Xia Liu

In: Machine Learning and Artificial Intelligence: Trends and Applications

This survey provides a thorough examination of Vision Transformer (ViT) architectures applied to medical image segmentation tasks. We review over 120 recent publications covering fundus photography, CT scan analysis, MRI brain segmentation, and histopathology slide processing. We identify key architectural innovations, benchmark datasets, and open research challenges.

High-Order Spectral Methods for Incompressible Navier-Stokes Equations

Amara Patel, Ravi Sharma

In: Recent Advances in Numerical Methods and Computational Mathematics

This chapter presents high-order spectral element discretizations for the incompressible Navier-Stokes equations. We introduce a novel pressure-velocity coupling strategy that ensures inf-sup stability while maintaining spectral accuracy. The method is validated on Taylor-Green vortex and lid-driven cavity benchmark problems at moderate Reynolds numbers.