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The Statistical Analysis of Shape

Abstract Quantitative shape analysis using geometric morphometrics is based on the statistical analysis of landmark coordinates

Abstract Quantitative shape analysis using geometric morphometrics is based on the statistical analysis of landmark coordinates

... if shape variation is small and if the semilandmarks do not need to slide much; for larger shape vari- ation and more extensive sliding, minimizing bending energy usually leads to better results that are in ...

7

Shape and Reflectance Estimation from Dielectric Materials using Statistical Analysis and Polarisation

Shape and Reflectance Estimation from Dielectric Materials using Statistical Analysis and Polarisation

... In this chapter we provide a novel method for shape from polarisation and refractive index estimation, which is based on blind source separation. Two constraints are made for the method, firstly the determinant ...

170

Statistical shape methodology for the analysis of helices

Statistical shape methodology for the analysis of helices

... sensitivity analysis to assess the effect on the conclusions of varying ...sensitivity analysis on simulated data and found that varying β in the range 98 o − 102 ◦ had a negligible effect on the ...

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Statistical Shape Analysis for the Human Back

Statistical Shape Analysis for the Human Back

... The statistical software R has capability to interface through user-submitted packages, which allow specialized statistical techniques, graphical devices, as well as import/export capabilities to many ...

156

Shape analysis and statistical modelling in brain imaging

Shape analysis and statistical modelling in brain imaging

... 4.8.2 Statistical analysis of VBM data The grey matter images from the optimised VBM protocol were analysed using ...The analysis shows con- trols have higher voxel values in this region, or appear ...

233

Statistical shape analysis of Multi-Object complexes

Statistical shape analysis of Multi-Object complexes

... of statistical shape analysis is the discrimination between populations of objects, exploring group differences in morphology not explained by standard volumetric ...quire analysis of objects ...

8

Deformetrica 4: an open-source software for statistical shape analysis

Deformetrica 4: an open-source software for statistical shape analysis

... the statistical analysis of images and ...as shape registration or atlas estimation, a bayesian version of atlas model as well as temporal methods (geodesic regression and parallel transport) are ...

12

Posture-Invariant Statistical Shape Analysis Using Laplace Operator

Posture-Invariant Statistical Shape Analysis Using Laplace Operator

... multilinear analysis to sets of facial images that combine different facial geometries, expressions, head poses, and lighting ...body shape. Allen et al. only encode the shape variation in a standard ...

8

Quantitative shape analysis with weighted covariance estimates for increased statistical efficiency

Quantitative shape analysis with weighted covariance estimates for increased statistical efficiency

... a statistical treatment of measurement error in the current ...extends statistical linear modelling processes to semi-landmarks for further ...Procrustes/PCA analysis via a combination of Monte-Carlo ...

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Statistical Shape Analysis of Large Datasets Based on Diffeomorphic Iterative Centroids

Statistical Shape Analysis of Large Datasets Based on Diffeomorphic Iterative Centroids

... template-based statistical analysis of large datasets in the LDDMM setting, and apply it to a population of 1,000 hippocampal ...mean shape each time new subjects are added to the population, the ...

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Multi-object analysis of volume, pose, and shape using statistical discrimination

Multi-object analysis of volume, pose, and shape using statistical discrimination

... longitudinal analysis of volumetric image data with focus on modeling of the early developing brain, representation and analysis of 3D shape, techniques for representation, and statistical ...

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NUCLEI SHAPE ANALYSIS, A STATISTICAL APPROACH

NUCLEI SHAPE ANALYSIS, A STATISTICAL APPROACH

... the shape differences between the two types of ...differential analysis gave the criterion for classification based on the behaviour of 95% intervals for the ...

10

Statistical methods for the analysis of tooth shape

Statistical methods for the analysis of tooth shape

... A limitation however, is the amount of information they can provide, particularly when compared to methods which allow the exact locations of different features or `l[r] ...

299

Statistical shape analysis for bio structures : local shape modelling, techniques and applications

Statistical shape analysis for bio structures : local shape modelling, techniques and applications

... Due to the complexity of a high dimensional data set, it is often desirable to rep- resent this data using as few parameters as possible, whilst preserving the relevant information. It is assumed that the original data ...

216

Statistical 3D Shape Analysis by Local Generative Descriptors

Statistical 3D Shape Analysis by Local Generative Descriptors

... We also compared our approach by exploiting other local shape descriptors, namely, Spin Images [11] and the Exponential Map Descriptor (EMD) [15]. Specifically, we inserted these descriptors into the proposed ...

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Bootstrap and empirical likelihood methods in statistical shape analysis

Bootstrap and empirical likelihood methods in statistical shape analysis

... introduced in this chapter. The method presented here follows general guidelines for bootstrap hypotheses tests given by Fisher and Hall (1990) and Hall and Wilson (1991). According to these authors, bootstrap tests ...

171

Radiologic image based statistical shape analysis of brain tumors

Radiologic image based statistical shape analysis of brain tumors

... elastic shape method. Upon performing sPCA in the shape space S , each tumor shape is represented in the principal directions of variation basis via its principal coefficients, which can be used as ...

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Statistical Modelling of Craniofacial Shape

Statistical Modelling of Craniofacial Shape

... Critical Analysis of the Number of 3DMM Components: It is desirable to have a lower generalisation and specificity error for a 3DMM, but there is a trade-off between generalisation and ...of shape variation ...

200

Statistical shape analysis of neuroanatomical structures based on spherical wavelet transformation

Statistical shape analysis of neuroanatomical structures based on spherical wavelet transformation

... We first study the patterns of cortical shape variation at different spatial-frequency levels by applying principal component analysis in the wavelet domain. Secondly,[r] ...

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Analysis, Segmentation and Prediction of Knee Cartilage using Statistical Shape Models

Analysis, Segmentation and Prediction of Knee Cartilage using Statistical Shape Models

... Accurate 3D reconstruction of patient anatomy can serve as a foundation for the development of a quantitative method of OA disease classification. A major motivation for developing automated segmentation tools for the ...

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