NOWA: Null-space Optical Watermark for Invisible Capture Fingerprinting and Tamper Localization

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Main Authors: Vargas, Edwin, Lopez, Jhon, Arguello, Henry, Veeraraghavan, Ashok
Format: Preprint
Published: 2025
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author Vargas, Edwin
Lopez, Jhon
Arguello, Henry
Veeraraghavan, Ashok
author_facet Vargas, Edwin
Lopez, Jhon
Arguello, Henry
Veeraraghavan, Ashok
contents Ensuring the authenticity and ownership of digital images is increasingly challenging as modern editing tools enable highly realistic forgeries. Existing image protection systems mainly rely on digital watermarking, which is susceptible to sophisticated digital attacks. To address this limitation, we propose a hybrid optical-digital framework that incorporates physical authentication cues during image formation and preserves them through a learned reconstruction process. At the optical level, a phase mask in the camera aperture produces a Null-space Optical Watermark (NOWA) that lies in the Null Space of the imaging operator and therefore remains invisible in the captured image. Then, a Null-Space Network (NSN) performs measurement-consistent reconstruction that delivers high-quality protected images while preserving the NOWA signature. The proposed design enables tamper localization by projecting the image onto the camera's null space and detecting pixel-level inconsistencies. Our design preserves perceptual quality, resists common degradations such as compression, and establishes a structural security asymmetry: without access to the optical or NSN parameters, adversaries cannot forge the NOWA signature. Experiments with simulations and a prototype camera demonstrate competitive performance in terms of image quality preservation, and tamper localization accuracy compared to state-of-the-art digital watermarking and learning-based authentication methods.
format Preprint
id arxiv_https___arxiv_org_abs_2512_22501
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle NOWA: Null-space Optical Watermark for Invisible Capture Fingerprinting and Tamper Localization
Vargas, Edwin
Lopez, Jhon
Arguello, Henry
Veeraraghavan, Ashok
Cryptography and Security
Image and Video Processing
Ensuring the authenticity and ownership of digital images is increasingly challenging as modern editing tools enable highly realistic forgeries. Existing image protection systems mainly rely on digital watermarking, which is susceptible to sophisticated digital attacks. To address this limitation, we propose a hybrid optical-digital framework that incorporates physical authentication cues during image formation and preserves them through a learned reconstruction process. At the optical level, a phase mask in the camera aperture produces a Null-space Optical Watermark (NOWA) that lies in the Null Space of the imaging operator and therefore remains invisible in the captured image. Then, a Null-Space Network (NSN) performs measurement-consistent reconstruction that delivers high-quality protected images while preserving the NOWA signature. The proposed design enables tamper localization by projecting the image onto the camera's null space and detecting pixel-level inconsistencies. Our design preserves perceptual quality, resists common degradations such as compression, and establishes a structural security asymmetry: without access to the optical or NSN parameters, adversaries cannot forge the NOWA signature. Experiments with simulations and a prototype camera demonstrate competitive performance in terms of image quality preservation, and tamper localization accuracy compared to state-of-the-art digital watermarking and learning-based authentication methods.
title NOWA: Null-space Optical Watermark for Invisible Capture Fingerprinting and Tamper Localization
topic Cryptography and Security
Image and Video Processing
url https://arxiv.org/abs/2512.22501