MViT: A vision transformer with fractal path reordering and dynamic positional encoding
Bomin Liu, Linjun He, Yan Zhu, Anil Yaman, Anil Yaman, Anil Yaman, Anil Yaman

TL;DR
MViT is a new Vision Transformer that improves spatial coherence and structural adaptability using fractal path reordering and dynamic positional encoding.
Contribution
The novel use of a recursive Moore curve and fractal-based components to enhance spatial continuity and structural modeling in Vision Transformers.
Findings
MViT improves classification accuracy by 0.52% on CIFAR-100 and 0.31% on ImageNet-21k compared to ViT-B/16.
The model achieves better PSNR and SSIM scores, indicating improved structural representation.
MViT shows robustness to rotation and maintains performance across different Transformer backbones and tasks.
Abstract
Vision Transformers have demonstrated remarkable performance in image classification and structural modeling; however, fixed patch partitioning and static positional encoding often disrupt spatial continuity, thereby limiting their ability to represent rotated structures and irregular boundary regions. To address these limitations, we propose the Moore-curve Vision Transformer (MViT), a Vision Transformer (ViT) framework based on a recursive Moore curve. The proposed framework comprises three key components. First, a multi-order fractal mapping is employed to optimize patch reordering and enhance the spatial coherence of the token sequence. Second, a 7×7 dynamic partitioning template together with a boundary compensation algorithm jointly optimizes dense structural representation and resolution adaptability. Third, a period-aware positional encoding module integrates fractal periodic…
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Taxonomy
TopicsAdvanced Vision and Imaging · Face Recognition and Perception · Advanced Optical Imaging Technologies
