• Home
  • Search
  • Orthogonal Rotation-Invariant Moments for Digital Image Processing
  • Cite Icon48
  • https://doi.org/10.1109/tip.2007.916157Copy DOI Icon

Orthogonal Rotation-Invariant Moments for Digital Image Processing

Show More
  • Abstract
  • Literature Map
  • References
  • Citations
  • Similar Papers
Abstract

Orthogonal rotation-invariant moments (ORIMs), such as Zernike moments, are introduced and defined on a continuous unit disk and have been proven powerful tools in optics applications. These moments have also been digitized for applications in digital image processing. Unfortunately, digitization compromises the orthogonality of the moments and, therefore, digital ORIMs are incapable of representing subtle details in images and cannot accurately reconstruct images. Typical approaches to alleviate the digitization artifact can be divided into two categories: 1) careful selection of a set of pixels as close approximation to the unit disk and using numerical integration to determine the ORIM values, and 2) representing pixels using circular shapes such that they resemble that of the unit disk and then calculating ORIMs in polar space. These improvements still fall short of preserving the orthogonality of the ORIMs. In this paper, in contrast to the previous methods, we propose a different approach of using numerical optimization techniques to improve the orthogonality. We prove that with the improved orthogonality, image reconstruction becomes more accurate. Our simulation results also show that the optimized digital ORIMs can accurately reconstruct images and can represent subtle image details.

Similar Papers
  • Research Article
  • Citations1

Effective and fast face recognition system using hybrid features of orthogonal rotation invariant moments and wavelet transforms

  • Aug 13, 2014
  • Journal of Electronic Imaging
  • Chandan Singh +2
  • Research Article

The Application of Digital Image Processing in the Monitoring of the Coking inside the Boilers of Thermal Power Plants

  • Aug 05, 2023
  • International Journal of Science and Research (IJSR)
  • Baoyang Wu Mingyuan Guo
  • PDF
  • Research Article
  • Citations2

Application of Digital Image Processing and GIS Technology in the Evaluation of Rationality of Urban and Rural Planning Spatial Layout

  • Jun 03, 2022
  • Security and Communication Networks
  • Hao Jingfeng +1
  • Conference Article
  • Citations14

Image Segmentation Technology and Its Application in Digital Image Processing

  • Sep 01, 2020
  • Min Tang
  • Conference Article
  • Citations32

Image Segmentation Technology and Its Application in Digital Image Processing

  • Apr 14, 2021
  • Yang Cheng +1
  • Research Article
  • Citations3

Mutation Detection and Functional Analysis of MSX1, PAX9, AXIN2, and BMP in Nonsyndromic Congenital Missing Teeth Based on Intelligent Image Detection

  • May 20, 2022
  • BioMed Research International
  • Xueqin Yao +6
  • PDF
  • Research Article
  • Citations1

Design a model of Image Restoration using AI in Digital Image Processing

  • Apr 11, 2021
  • Turkish Journal of Computer and Mathematics Education (TURCOMAT)
  • Boosi Shyamala, Dr Chetana Tukkoji, Archana S Nadhan, Dioline Sara
  • Conference Article
  • Citations19

Digital restoration of damaged mural images

  • Dec 16, 2012
  • Pulak Purkait +1
  • Research Article

Analisis Deteksi Penyakit Daun Pisang Menggunakan Ekstraksi Fitur CNN (MobileNetV2) dan Klasifikasi SVM

  • Dec 20, 2025
  • INSOLOGI: Jurnal Sains dan Teknologi
  • Yuyun Yusnida Lase +4
  • Research Article
  • Citations1

High-quality imaging under low scattering conditions using the light field contribution matrix model

  • May 01, 2025
  • APL Photonics
  • Kang Liu +7
  • Book Chapter

ADVANCEMENTS AND CHALLENGES OF REAL-TIME DATA IN REMOTE SENSING SCENE CLASSIFICATION WITH DEEP LEARNING TECHNIQUES

  • Dec 24, 2024
  • P Deepan +4
  • Book Chapter
  • Citations1

The Application of Digital Image Processing in Freight Train Inspection System

  • Jan 01, 2011
  • Dahai Yu +1
  • Research Article

Pengenalan Tulisan Tangan Angka menggunakan CNN dengan Arsitektur DenseNet-201 pada Dataset MNIST

  • May 24, 2025
  • INCODING Journal of Informatics and Computer Science Engineering
  • Muhammad Fajril Fadillah Lubis +1
  • Book Chapter
  • Citations5

English

  • Jul 01, 2014
  • C Camacho-Bello +2
  • Research Article
  • Citations7

Application of digital image processing for the generation of voxels phantoms for Monte Carlo simulation

  • Sep 14, 2011
  • Applied Radiation and Isotopes
  • L.S Boia +7
Cactus Communications logo

Copyright 2026 Cactus Communications. All rights reserved.