Index
- affine transformation
- affine matching
- allometry
- ambient space
- anatomical landmark
- ANOVA identity
- area–perimeter ratio
- Bayesian
- Bayesian image analysis
- bending energy matrix
- bond–angle–torsion coordinates
- Bookstein shape coordinates
- bootstrap test
- Box’s M test for equal covariance matrices
- canonical variate analysis
- centring matrix
- centroid size
- chimpanzee skulls
- R data(apes)
- size
- two sample test
- classical multidimensional scaling
- coincident points
- collinear points
- complex angular central Gaussian distribution
- complex Bingham distribution
- complex Bingham quartic distribution
- complex eigenvector
- complex normal distribution
- complex projective space
- complex sum of squares and products matrix
- complex Watson distribution
- confluent hypergeometric function
- cortical surfaces
- symmetry
- PCA
- R data(cortical)
- crease
- curvature
- cut locus
- data examples
- see cortical surfaces, chimpanzee skulls, DNA, electrophoretic gel images, face, fetal alcohol spectrum disorder, gorilla skulls, hand-written character recognition, human movement, Iowa towns, macaque skulls
- microfossils, mouse vertebrae, orangutan skulls, proteins, rat skulls, sand grains, schizophrenia study, sooty mangabey skulls, standing stones, steroids. Commands to access to these datasets in R pages
- deformable templates
- Delaunay triangles
- diffeomorphism
- dimension reduction
- backwards approach
- forwards approach
- discriminant analysis
- distribution
- complex Bingham
- complex Bingham quartic
- complex normal
- complex Watson
- Fisher–Bingham
- Mardia–Dryden
- offset normal
- uniform
- DNA
- R data(dna.dat)
- time series
- EDMA
- elastic distance
- elastic net
- electrophoretic gel images
- matching
- R data(gels)
- Euclidean distance matrix analysis
- Euclidean norm
- Euclidean similarity transformations
- exponential map
- planar shape
- extrinsic mean
- extrinsic mean shape
- Face
- averaging
- curvature description
- fast bootstrap test
- fastICA
- fetal alcohol spectrum disorder
- discriminant analysis
- geometric components
- Fisher–Bingham distribution
- form
- Fourier series representations
- Fréchet mean
- Fréchet variance
- full generalized Procrustes analysis
- full ordinary Procrustes analysis
- full Procrustes coordinates
- full Procrustes distance
- two dimensions
- full Procrustes fit
- full Procrustes mean
- two dimensions
- full Procrustes mean shape
- sample
- gap prior
- general shape
- general shape space
- generalized inverse
- generalized Procrustes Analysis
- geodesic
- horizontal
- size-and-shape
- geodesic model
- Gibbs sampler
- Goodall’s F test
- one sample
- two sample
- gorilla skulls
- biorthogonal grids
- finite element analysis
- mean shape estimation
- PCA
- principal warp
- R data(apes)
- relative warp analysis
- GPA algorithm
- shape
- size-and-shape
- Green–Mardia model
- grey-level
- hands
- handwritten character recognition
- mean shape
- partial GPA
- PCA
- R data(digit3)
- reflection GPA
- Helmert submatrix
- Hermitian
- high-dimensional shape space
- high-dimensional sphere
- horizontal geodesic
- horizontal tangent space
- Hotelling T2 test
- one sample
- two sample
- human movement
- R data(humanmove)
- shape spline
- icon
- identity matrix
- image warping
- independent component analysis
- interpolation
- intrinsic distance
- in shape space
- in size-and-shape space
- intrinsic mean
- uniqueness
- intrinsic mean shape
- sample
- inverse exponential map
- planar shape
- shape space
- inverse vectorize operator
- Iowa towns
- isometric
- iterative closest point algorithm
- Karcher mean
- Kendall shape coordinates
- Kent’s polar pre-shape coordinates
- Kullback–Leibler
- landmark
- anatomical
- definition
- mathematical
- pseudo
- scientific
- semi-
- Type I, II, III
- LASSO
- LDDMM
- Levi-Civita connection
- logarithmic map
- longitudinal shape
- macaque skulls
- Bookstein three dimensional coordinates
- full GPA
- mean size-and-shape
- intrinsic kriging
- OPA
- permutation test
- R data(macaques)
- M-estimator
- manifold data analysis
- manifold stability
- MANOVA test
- Mardia–Dryden distribution
- mathematical landmark
- MCMC
- microfossils
- allometry investigation
- R data(shells)
- size-and-shape
- Miles distribution
- minimal geodesic
- Monte Carlo test
- Moore–Penrose inverse
- MOSHFIT
- mouse vertebrae
- allometry investigation
- Bookstein coordinates
- canonical variates
- complex Bingham distribution
- ICA
- icon plot
- mean
- pairwise comparision
- PCA
- R data(mice)
- shape variability
- size-and-shape inference
- standardization in shape space
- multidimensional scaling
- object data
- object oriented data analysis
- offset normal distribution
- offset normal shape density
- offset shape distributions
- orangutan skulls
- R data(apes)
- size
- orbit space
- ordinary Procrustes analysis
- ordinary Procrustes sum of squares
- orthogonal matrix
- orthogonal projection
- over-dimensioned case
- parallel transport
- planar shape
- partial generalized Procrustes analysis
- partial ordinary Procrustes analysis
- partial Procrustes distance
- partial Procrustes mean shape
- sample
- partial warp
- Penrose coefficient
- permutation test
- persistence diagram
- persistent homology
- perturbation model
- phylogenetic trees
- point distribution model
- pre-shape
- pre-shape space
- pre-shape sphere
- pre-shape tangent space
- dimensionality
- principal axes
- principal coordinate analysis
- principal geodesic mean
- principal nested spheres
- principal strains
- principal warp
- Procrustes
- Greek mythology
- Procrustes analysis
- generalized
- ordinary
- Procrustes fit
- Procrustes mean
- full
- partial
- Procrustes residuals
- Procrustes tangent matrix
- properties
- proteins
- Bayesian inference
- pseudo landmark
- QR decomposition
- QR size-and-shape coordinates
- quaternion
- quotient space
- rat skulls
- geodesic
- growth
- R data(rats)
- self-similarity
- shape change
- re-parameterization
- reflection shape
- regular geodesic ball
- relative warp
- residual mean
- ridge regression
- Riemannian barycentre
- Riemannian centre of mass
- Riemannian curvature tensor
- planar shape
- Riemannian distance
- in shape space
- in size-and-shape space
- rigid-body transformations
- RMSD measures
- rotation
- S-estimator
- saddlepoint approximation
- sand grains
- R data(sand)
- shape variability
- schizophrenia study
- brain scans
- MDS
- principal coordinates
- R data(schizophrenia)
- size-and-shape
- transformation grids
- two sample test
- Schmidt net
- scientific landmark
- sectional curvature
- size-and-shape space
- self-similar
- semi-landmark
- shape
- shape factors
- shape of the means
- shape space
- triangles
- shape space smoothing splines
- similarity transformations
- simplex
- simulation
- singularity in shape space
- size measure
- size-and-shape
- space
- skew-symmetric matrix
- softassign
- sooty mangabey skulls
- full Procrustes analysis
- growth description
- OPA
- R data(sooty)
- special orthogonal matrix
- square root normal field
- square root velocity function
- squared Euclidean distance matrix
- SRVF
- standing stones
- flat triangles
- shape density
- star-shaped objects
- steroids
- Bayesian inference
- cluster analysis
- Hilbert space
- R data(steroids)
- size-and-shape
- Stiefel manifold
- stratified manifold
- surface shape
- tangent coordinates
- full Procrustes
- inverse exponential map
- partial Procrustes
- Procrustes residuals
- size-and-shape
- tangent space
- horizontal
- vertical
- topological data analysis
- torsion
- trees
- triangle shape space
- uniform distribution
- unlabelled points
- unrolling
- unwrapping
- vectorize operator
- Veronese–Whitney embedding
- vertical tangent space
- warping
- weighted Procrustes
- Ziezold mean
..................Content has been hidden....................
You can't read the all page of ebook, please click here login for view all page.