IVCVApr 15, 2025

Efficient and Robust Remote Sensing Image Denoising Using Randomized Approximation of Geodesics' Gramian on the Manifold Underlying the Patch Space

arXiv:2504.10820v1h-index: 10
Originality Incremental advance
AI Analysis

This addresses the need for computationally efficient denoising in remote sensing applications, but it appears incremental as it builds on manifold-based approaches without claiming broad SOTA breakthroughs.

The paper tackles the problem of denoising remote sensing images, which have complex textures and degrade visual tasks, by proposing a method that partitions patches and uses a randomized approximation of the geodesics' Gramian matrix on a low-rank manifold to achieve efficient and robust denoising without requiring training samples.

Remote sensing images are widely utilized in many disciplines such as feature recognition and scene semantic segmentation. However, due to environmental factors and the issues of the imaging system, the image quality is often degraded which may impair subsequent visual tasks. Even though denoising remote sensing images plays an essential role before applications, the current denoising algorithms fail to attain optimum performance since these images possess complex features in the texture. Denoising frameworks based on artificial neural networks have shown better performance; however, they require exhaustive training with heterogeneous samples that extensively consume resources like power, memory, computation, and latency. Thus, here we present a computationally efficient and robust remote sensing image denoising method that doesn't require additional training samples. This method partitions patches of a remote-sensing image in which a low-rank manifold, representing the noise-free version of the image, underlies the patch space. An efficient and robust approach to revealing this manifold is a randomized approximation of the singular value spectrum of the geodesics' Gramian matrix of the patch space. The method asserts a unique emphasis on each color channel during denoising so the three denoised channels are merged to produce the final image.

Foundations

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