The aim of this paper is to provide a coherent framework for transforming boundary pairs of digital images from one resolution to another without knowledge of the full images. It is intended to facilitate the simultaneous usage of multiresolution processing and boundary reduction, primarily for algorithms in computational dynamics and computational control theory.

翻译：本文旨在构建一个统一框架，用于在未知完整图像的情况下，将数字图像的边界对从一种分辨率转换至另一种分辨率。该框架主要面向计算动力学与计算控制理论中的算法设计，旨在促进多分辨率处理与边界约减技术的协同应用。