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Bibliographic Details
Main Author: Peter, Pascal
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2309.08511
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author Peter, Pascal
author_facet Peter, Pascal
contents Diffusion probabilistic models excel at sampling new images from learned distributions. Originally motivated by drift-diffusion concepts from physics, they apply image perturbations such as noise and blur in a forward process that results in a tractable probability distribution. A corresponding learned reverse process generates images and can be conditioned on side information, which leads to a wide variety of practical applications. Most of the research focus currently lies on practice-oriented extensions. In contrast, the theoretical background remains largely unexplored, in particular the relations to drift-diffusion. In order to shed light on these connections to classical image filtering, we propose a generalised scale-space theory for diffusion probabilistic models. Moreover, we show conceptual and empirical connections to diffusion and osmosis filters.
format Preprint
id arxiv_https___arxiv_org_abs_2309_08511
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Generalised Diffusion Probabilistic Scale-Spaces
Peter, Pascal
Image and Video Processing
Computer Vision and Pattern Recognition
Machine Learning
Diffusion probabilistic models excel at sampling new images from learned distributions. Originally motivated by drift-diffusion concepts from physics, they apply image perturbations such as noise and blur in a forward process that results in a tractable probability distribution. A corresponding learned reverse process generates images and can be conditioned on side information, which leads to a wide variety of practical applications. Most of the research focus currently lies on practice-oriented extensions. In contrast, the theoretical background remains largely unexplored, in particular the relations to drift-diffusion. In order to shed light on these connections to classical image filtering, we propose a generalised scale-space theory for diffusion probabilistic models. Moreover, we show conceptual and empirical connections to diffusion and osmosis filters.
title Generalised Diffusion Probabilistic Scale-Spaces
topic Image and Video Processing
Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2309.08511