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
Euclidean distance matrix analysis
Euclidean norm
Euclidean similarity transformations
exponential map
extrinsic mean
extrinsic mean shape
Face
averaging
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
full Procrustes fit
full Procrustes mean
full Procrustes mean shape
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
gorilla skulls
biorthogonal grids
finite element analysis
mean shape estimation
PCA
principal warp
R data(apes)
relative warp analysis
GPA algorithm
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 T 2 test
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
intrinsic mean shape
inverse exponential map
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
orbit space
ordinary Procrustes analysis
ordinary Procrustes sum of squares
orthogonal matrix
orthogonal projection
over-dimensioned case
parallel transport
partial generalized Procrustes analysis
partial ordinary Procrustes analysis
partial Procrustes distance
partial Procrustes mean shape
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
principal axes
principal coordinate analysis
principal geodesic mean
principal nested spheres
principal strains
principal warp
Procrustes
Procrustes analysis
Procrustes fit
Procrustes mean
Procrustes residuals
Procrustes tangent matrix
proteins
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
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
self-similar
semi-landmark
shape
shape factors
shape of the means
shape space
shape space smoothing splines
similarity transformations
simplex
simulation
singularity in shape space
size measure
size-and-shape
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
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
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