TITAN: Bringing The Deep Image Prior to Implicit Representations

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Luzi, Lorenzo, LeJeune, Daniel, Siahkoohi, Ali, Alemohammad, Sina, Saragadam, Vishwanath, Babaei, Hossein, Liu, Naiming, Wang, Zichao, Baraniuk, Richard G.
Natura: Preprint
Pubblicazione: 2022
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866917654885826560
author Luzi, Lorenzo
LeJeune, Daniel
Siahkoohi, Ali
Alemohammad, Sina
Saragadam, Vishwanath
Babaei, Hossein
Liu, Naiming
Wang, Zichao
Baraniuk, Richard G.
author_facet Luzi, Lorenzo
LeJeune, Daniel
Siahkoohi, Ali
Alemohammad, Sina
Saragadam, Vishwanath
Babaei, Hossein
Liu, Naiming
Wang, Zichao
Baraniuk, Richard G.
contents We study the interpolation capabilities of implicit neural representations (INRs) of images. In principle, INRs promise a number of advantages, such as continuous derivatives and arbitrary sampling, being freed from the restrictions of a raster grid. However, empirically, INRs have been observed to poorly interpolate between the pixels of the fit image; in other words, they do not inherently possess a suitable prior for natural images. In this paper, we propose to address and improve INRs' interpolation capabilities by explicitly integrating image prior information into the INR architecture via deep decoder, a specific implementation of the deep image prior (DIP). Our method, which we call TITAN, leverages a residual connection from the input which enables integrating the principles of the grid-based DIP into the grid-free INR. Through super-resolution and computed tomography experiments, we demonstrate that our method significantly improves upon classic INRs, thanks to the induced natural image bias. We also find that by constraining the weights to be sparse, image quality and sharpness are enhanced, increasing the Lipschitz constant.
format Preprint
id arxiv_https___arxiv_org_abs_2211_00219
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle TITAN: Bringing The Deep Image Prior to Implicit Representations
Luzi, Lorenzo
LeJeune, Daniel
Siahkoohi, Ali
Alemohammad, Sina
Saragadam, Vishwanath
Babaei, Hossein
Liu, Naiming
Wang, Zichao
Baraniuk, Richard G.
Image and Video Processing
Signal Processing
We study the interpolation capabilities of implicit neural representations (INRs) of images. In principle, INRs promise a number of advantages, such as continuous derivatives and arbitrary sampling, being freed from the restrictions of a raster grid. However, empirically, INRs have been observed to poorly interpolate between the pixels of the fit image; in other words, they do not inherently possess a suitable prior for natural images. In this paper, we propose to address and improve INRs' interpolation capabilities by explicitly integrating image prior information into the INR architecture via deep decoder, a specific implementation of the deep image prior (DIP). Our method, which we call TITAN, leverages a residual connection from the input which enables integrating the principles of the grid-based DIP into the grid-free INR. Through super-resolution and computed tomography experiments, we demonstrate that our method significantly improves upon classic INRs, thanks to the induced natural image bias. We also find that by constraining the weights to be sparse, image quality and sharpness are enhanced, increasing the Lipschitz constant.
title TITAN: Bringing The Deep Image Prior to Implicit Representations
topic Image and Video Processing
Signal Processing
url https://arxiv.org/abs/2211.00219