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Normalized Cross Correlation

description556 papers
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lightbulbAbout this topic
Normalized Cross Correlation (NCC) is a statistical method used to measure the similarity between two signals or datasets by calculating the correlation coefficient after normalizing the data. It accounts for variations in amplitude and allows for comparison of signals with different scales, providing a standardized measure of their correlation.
lightbulbAbout this topic
Normalized Cross Correlation (NCC) is a statistical method used to measure the similarity between two signals or datasets by calculating the correlation coefficient after normalizing the data. It accounts for variations in amplitude and allows for comparison of signals with different scales, providing a standardized measure of their correlation.

Key research themes

1. How can normalization improve robust and efficient correlation estimation in noisy or small-sample data?

This theme investigates the role of normalization techniques on enhancing the stability, robustness, and accuracy of correlation measures and associated statistical procedures, especially in contexts of correlated or noisy data, small sample sizes, or challenging signal conditions. Normalization methods are studied both as preprocessing steps (e.g., batch normalization and its variants in neural networks) as well as mathematical adjustments to correlation estimators to ensure correct variance estimates, robustness to nonnormality, and improved inference.

Key finding: This work introduces GhostNorm and SeqNorm, normalization layers that independently estimate batch mean and variance on small ghost batches or sequentially over input dimensions. Empirically, GhostNorm and SeqNorm reduce loss... Read more
Key finding: This work develops the 'blocking' method—a renormalization group technique—to rigorously and efficiently estimate statistical errors on averages of correlated data, demonstrating how to correct bias and subjective choices in... Read more
by C. Lai
Key finding: Through simulation and numerical analysis of the bivariate lognormal distribution, this study reveals large biases and variances in the sample Pearson correlation coefficient when marginals are skewed and true correlation is... Read more
Key finding: This paper introduces new robust correlation coefficients (Taba, TabWil, TabWil rank) designed to remain accurate in the presence of outliers and heavy-tailed distributions, outperforming classical Pearson and Spearman... Read more

2. What advances in multivariate correlation analysis enable detection of complex dependencies beyond pairwise measures?

Multivariate correlation methods extend beyond pairwise correlations, capturing complex dependencies among multiple variables or datasets. This research theme centers on canonical correlation analysis (CCA) and its variants, kernel or nonlinear extensions, and newly proposed concordance-based techniques. The focus is on methodological developments that generalize correlation measures to extract interpretable multivariate relations and optimize detection of nonlinear, high-dimensional, or nonlinear dependencies in diverse data domains such as genomics, neuroscience, and social sciences.

Key finding: This tutorial systematically presents classical CCA and its modern extensions—regularized, kernel, sparse, Bayesian, and deep CCA—providing optimization techniques, statistical evaluation methods, and interpretation... Read more
Key finding: This paper introduces Canonical Concordance Correlation Analysis (CCCA), which maximizes Lin's concordance correlation coefficient instead of Pearson's correlation, accounting simultaneously for correlation and closeness of... Read more
Key finding: This work develops Orthonormal Canonical Analysis (ORCA), a multivariate technique based on singular value decomposition of the cross-correlation matrix of two data sets, avoiding matrix inversion and thus mitigating... Read more
Key finding: This study proposes algorithms for efficient detection of strong multivariate correlations among multiple variables (3–5 dimensions), supporting four correlation measures and applicable to static and streaming data. It... Read more

3. How can normalized cross correlation and compression-based distances be applied for image matching and neural synchronization measures?

This research theme focuses on specialized applications of normalized cross correlation (NCC) and normalized compression distance (NCD) methods in pattern recognition and neuroscience. It covers algorithmic advances that combine normalization with signal processing and compression to enhance face matching under varying conditions and quantify cortico-muscular synchronization in brain signals.

Key finding: This paper proposes and implements a face matching algorithm that extracts face region templates and performs normalized cross-correlation (NCC) based matching across images taken at different times, viewpoints, or lighting... Read more
Key finding: Using normalized compression distance (NCD) based on lengths of compressed concatenated signals, this study quantifies synchronization between EEG and EMG time-series, finding that NCD sensitively measures cortico-muscular... Read more
Key finding: This work develops a theoretical framework interpreting covariance as an inner product in a vector space of random variables, defining a metric angle to quantify correlations. Applied to climate indices, the authors extend... Read more

All papers in Normalized Cross Correlation

Current biomedical research increasingly requires imaging large and thick 3D structures at high resolution. Prominent examples are the tracking of fine filaments over long distances in brain slices, or the localization of gene expression... more
This paper is concerned with the tracking of partially or entirely occluded objects in a video sequence. We propose certain modifications to the template matching approach, which seem to fit the type of tracking data being considered in... more
A fast and accurate iris recognition system is presented for noisy iris images, mainly the noises due to eye occlusion and from specular reflection. The proposed recognition system will adopt a self-customized support vector machine (SVM)... more
Digital volume correlation is a new experimental technique that allows the measurement of the full-field strain tensor in three dimensions. We describe the addition of rotational degrees of freedom into the minimization problem for... more
A doubletalk detector (DTD) is used with an echo canceler to sense when far-end speech is corrupted by near-end speech. Its role is to freeze the adaptation of the model filter when near-end speech is present in order to avoid divergence... more
This paper proposes convenient methods to increase the dynamic speed range in particle-image velocimetry (PIV) measurements, which employ a charge-coupled device (CCD) camera binning option. Although the binning procedure decreases... more
by Gail Teachman and 
1 more
A binary switch based on the detection of periodic vocal cord vibrations is proposed for individuals with multiple and severe disabilities. The system offers three major advantages over existing speech-based access technologies, namely,... more
Image correspondence and registration techniques have gained popularity in recent times due to advancement of utilization in digital media and its storage. The main problem associated with image processing is when it is applied to fields... more
A universally applicable reliability-guided digital image correlation (DIC) method is proposed for reliable image deformation measurement. The zero-mean normalized cross correlation (ZNCC) coefficient is used to identify the reliability... more
This paper presents inspection of Printed Circuit Boards (PCBs) based on normalized crosscorrelation. Correlation gives the similarity measure of images. In this paper, Normalized Cross-Correlation has been used to differentiate between a... more
Standard X-ray images using conventional screen-film technique have a limited field of view and failed to visualize the entire long bone on a single image. To produce images with whole body parts, digitized images from the films that... more
Photo-response non-uniformity (PRNU) of digital sensors was recently proposed [1] as a unique identification fingerprint for digital cameras. The PRNU extracted from a specific image can be used to link it to the digital camera that took... more
In this paper we present a new method of signal processing for robust speech recognition using two microphones. The method, loosely based on the human binaural hearing system, consists of passing the speech signals detected by two... more
Global features describe the image content by a small number of numerical values, which are usually combined into a vector of less than 1,024 components. Since color is not present in most medical images, grey-scale and texture features... more
This article investigates the possibility of extracting gastric motility (GM) information from finger photoplethysmographic (PPG) signals non-invasively. Now-a-days measuring GM is a challenging task because of invasive and complicated... more
We use a satellite-based survey of glacier surface elevation changes, speeds and surface melt conditions between 2000 and 2011 to quantify mass loss from the Northern Patagonian Icefield (NPI), Chile. A history of ice elevation change is... more
We present an automatic traffic monitoring approach using data of an airborne wide angle camera system. This camera, namely the "3K-Camera", was recently developed at the German Aerospace Center (DLR). It has a coverage of 8 km... more
In this paper, we present two different double-talk detection schemes for Acoustic Echo Cancellation (AEC). First, we present a novel normalized detection statistic based on the cross-correlation coefficient between the microphone signal... more
In the current scenario excessive use of digital media attracted the attention of hackers, attackers and malicious users. In digital media certain types of vulnerabilities are always available, attackers use these vulnerabilities to... more
Detection of meeting events is one of the most important tasks in multimodal analysis of planning meetings. Speaker detection is a key step for extraction of most meaningful meeting events. In this paper, we present an approach of speaker... more
This paper presents an inexpensive framework for 3-D seabed mosaic reconstruction, based on an asynchronous stereo vision system when simplifying motion assumptions are used. In order to achieve a metric reconstruction some knowledge... more
A key component for hands-free, full-duplex, communication technology is the echo canceler. An echo canceler consists primarily of an adaptive ÿlter and a control device called the double-talk detector. We derive a test statistic based on... more
Silkworm sex identification is one of the important processes in the sericulture industry because it can assist in effectively separating strong and healthy silkworm pupae from the weak ones. In this paper, we study and show that a... more
The hydroxyl nightglow layer is an excellent tracer of the dynamical processes occurring within the mesosphere. A new stereo-imaging method is applied that not only measures the altitude of the airglow layer but also provides a... more
Subpixel image registration is the key to successful multi-angle remote sensing image applications such as image fusion, superresolution and classification. However, multi-angle remote sensing images pose some difficulties for automatic... more
Imaging and Image sensors is a field that is continuously evolving. There are new products coming into the market every day. Some of these have very severe Size, Weight and Power constraints whereas other devices have to handle very high... more
In this paper, a method for robust image registration based on M-estimator Correlation Coefficient (MCC) is presented. A real valued correlation mask function is computed using Huber and Tukey's robust statistics and is used as a... more
This paper presents a mutual-information based optimization algorithm for improving piecewise-linear (PWL) image registration. PWL-registration techniques, which are well-suited for registering images of the same scene with relative local... more
Usually, the stereo correspondence for a feature point in the first image is obtained by searching in a predefined region of the second image, based on the epipolar line and the maximum disparity. The reduction of the search space can... more
A novel LED modeling algorithm for precise three-dimensional light pattern simulation is proposed and demonstrated. We propose to use normalized cross correlation to verify the validity of the simulation in onedimensional intensity... more
The invariance of the similarity measure in photometric distortions as well as its capability in producing subpixel accuracy are two desired and often required features in most stereo vision applications. In this paper we propose a new... more
The influence of missing array elements on aberration correction based on time delay estimation using radio frequency signals of neighboring elements is experimentally investigated. Normalized cross correlation and sum of absolute... more
Visual Target Tracking (VTT) has been implemented in the new Mars Exploration Rover (MER) Flight Software (FSW) R9.2 release, which is now running on both Spirit and Opportunity rovers. Applying the normalized cross-correlation (NCC)... more
Accurate registration of multi-temporal remote sensing images is essential for various change detection applications. Mutual information (MI) has recently been used as a similarity measure for registration of medical images because of its... more
Usually, the stereo correspondence for a feature point in the first image is obtained by searching in a predefined region of the second image, based on the epipolar line and the maximum disparity. The reduction of the search space can... more
Automatic detection and recognition of lung cancer during mass screening of spiral computer tomographic (CT) chest scans is one of most important problems of today's medical image analysis. We propose an algorithm for isolating lung... more
This work implements a novel hybrid method for detection and tracking of biological cells of "in vitro" samples (Goobic, 1 2005). The method is able to detect and track cells based on image processing, nonlinear filters and normalized... more
Implantable cardioverter defibrillators (ICDs) detect and defibrillate ventricular fibrillation (VF) and ventricular tachycardia (VT). Other therapies which use less energy are also available to terminate VT. Previous studies have shown... more
In this paper, we propose a front-end framework for 3D human face reconstruction and recognition at a distance. A stereo acquisition system is built and deployed to capture stereo pairs of subjects at different distances. Three main... more
This paper presents an efficient algorithm to achieve accurate sub-pixel matchings for calculating correspondences between stereo images based on a path-based matching algorithm. Compared to point-by-point stereo matching algorithms,... more
In this paper, a multiscale wavelet-based algorithm for matching stand-alone shapes is developed. The algorithm uses the Dyadic Wavelet Transform (DWT) to decompose a shape's boundary into multi-scale levels. Features are extracted by... more
The present work investigates the potential of neural adaptive learning to solve the correspondence problem within a two-frame adaptive area matching approach. A novel method is proposed based on the use of the Zero Mean Normalized Cross... more
We are investigating three-dimensional (3D) to two-dimensional (2D) registration methods for computed tomography (CT) and dual-energy digital radiography (DR) for the detection of coronary artery calcification. CT is an established tool... more
In this paper, we present a method for handling double-talk. This approach uses a robust fast recursive least-squares algorithm (FRLS) and the normalized cross-correlation double-talk detector (NCC DTD). The NCC DTD is developed into a... more
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