Index
A
- algorithms, skimage.feature module
- FAST corner detection / Corner detection
- Förstner corner detection / Corner detection
- Kitchen and Rosenfeld corner measure response / Corner detection
- Harris corner measure response / Corner detection
- Moraved corner measure response / Corner detection
- Kanade-Tomasi corner measure response / Corner detection
- alpha channel
- about / Alpha channels
- analysis, of time series / Analysis of the time series
- analytic approximation methods
- about / Analytic approximation methods
- approaches, for attacking inference
- frequentist / Statistical inference
- Bayesian / Statistical inference
- likelihood / Statistical inference
- approximation
- about / Regression
- approximation problem
- defining / Motivation
- approximation theory
- example / Motivation
- ARPACK
- URL / Motivation
- automatic differentiation
- about / Differentiation, Automatic differentiation
- URL, for online resource / Differentiation
- autoregressive Integrated Moving Average model (ARIMA)
- about / Analysis of the time series
- autoregressive model AR(p) / Analysis of the time series
- autoregressive Moving Average model ARMA(p,q) / Analysis of the time series
B
- back and forward substitution
- about / Back and forward substitution
- banded matrices
- about / Basic systems: banded matrices
- bar plots
- about / Bar plots and pie charts
- basic geometrical objects, geometry module
- LinearEntity / Plane geometry
- Ellipse / Plane geometry
- Polygon / Plane geometry
- RegularPolygon / Plane geometry
- basic matrix manipulation
- about / Basic matrix manipulation
- scalar multiplication / Scalar multiplication, matrix addition, and matrix multiplication
- matrix addition / Scalar multiplication, matrix addition, and matrix multiplication
- matrix multiplication / Scalar multiplication, matrix addition, and matrix multiplication
- traces / Traces and determinants
- determinants / Traces and determinants
- transposes / Transposes and inverses
- inverses / Transposes and inverses
- condition numbers / Norms and condition numbers
- norms / Norms and condition numbers
- bean plot
- binary image
- about / Binary
- bivariate interpolation
- about / Implementation details
- bivariate spline interpolation
- about / Implementation details
- BLAS
- URL / Motivation
- blurring / Sharpening and blurring
- Box-Jenkins model
- about / Analysis of the time series
- broyden method
- about / The Broyden method
- Bézier curves
- about / Bézier curves
C
- chain code / Lossless compression
- Cholesky decomposition
- about / Cholesky decomposition
- CIE-LAB color space
- about / Color
- CIE-LUB color space
- about / Color
- Circle / Plane geometry
- classification
- about / Classification
- support vector classification / Support vector classification
- decision tree, creating / Trees
- Naive Bayes methods / Naive Bayes
- nearest neighbors / Nearest neighbors
- Clensaw-Curtis method
- clustering
- about / Clustering
- MeanShift / MeanShift
- Gaussian mixture models / Gaussian mixture models
- Kmeans / Kmeans
- spectral clustering / Spectral clustering
- color images
- about / Color
- Combinatorial computational geometry
- about / Combinatorial computational geometry
- static problems / Static problems
- geometric query problems / Geometric query problems
- dynamic problems / Dynamic problems
- complex generalized Schur decomposition / Schur decomposition
- complex Schur decomposition / Schur decomposition
- Computer Aided Geometric Design (CAGD)
- about / Numerical computational geometry
- computer algebra system (CAS)
- about / Differentiation
- condition numbers
- about / Norms and condition numbers
- conforming Delaunay / Triangulations
- constrained conforming Delaunay triangulation / Triangulations
- constrained Delaunay triangulation / Triangulations
- constrained optimization for multivariate functions
- constrained optimization for univariate functions
- contrast enhancement
- about / Contrast enhancement
- contrast limited adaptive histogram equalization (CLAHE) / Histogram equalization
- convex hulls
- about / Static problems, Convex hulls
- correlation
- and scatterplots / Scatterplots and correlation
- credible region / Bayesian approach
- Curve
- about / Plane geometry
D
- database formats, matrix
- Matrix Market Exchange / Motivation
- Rutherford-Boeing Exchange / Motivation
- Proprietary Matlab .mat format / Motivation
- data mining
- about / Data mining and machine learning
- decision tree
- creating / Trees
- deflation / Lossless compression
- Delaunay triangulation / Triangulations
- descriptive statistics
- example / Motivation
- determinants
- about / Traces and determinants
- differential equations
- about / Motivation
- differentiation
- about / Differentiation
- numerical differentiation / Differentiation, Numerical differentiation
- symbolic differentiation / Differentiation, Symbolic differentiation
- automatic differentiation / Differentiation, Automatic differentiation
- digital images
- about / Digital images
- binary / Binary
- gray-scale / Gray-scale
- high-level operations / High-level operations on digital images
- dimensionality reduction
- about / Dimensionality reduction
- principal component analysis (PCA) / Principal component analysis
- isometric mapping (isomap) / Isometric mappings
- spectral embedding / Spectral embedding
- locally linear embedding / Locally linear embedding
- discrete-variable methods
- about / Discrete-variable methods
- one-step methods / Discrete-variable methods, One-step methods
- multistep methods / Discrete-variable methods
- two-step methods / Two-step methods
- distributions
- picturing, with graphs / Picturing distributions with graphs
- describing, with boxplots / Describing distributions with numbers and boxplots
- describing, with numbers / Describing distributions with numbers and boxplots
- dynamic problems
- about / Dynamic problems
E
- Elastic Net / Linear regression beyond ordinary least-squares
- ensemble methods
- about / Ensemble methods
- averaging methods / Ensemble methods
- boosting methods / Ensemble methods
- estimation
- about / Statistical inference
- estimation of parameters, statistical inference
- about / Estimation of parameters
- frequentist approach / Frequentist approach
- Bayesian approach / Bayesian approach
- likelihood approach / Likelihood approach
- expectation-maximization algorithm (EM)
- about / Gaussian mixture models
F
- FFTPACK
- URL / Motivation
- filters
- smoothing / Smoothing filters
- FITPACK
- URL / Motivation
- formulas
- reference link / Motivation
- Fortran coding methodology
- about / Multivariate interpolation
- Fourier analysis
- about / Fourier analysis
- Fresnel integrals
- about / Motivation
- FuncDesigner
- URL / Differentiation
- functional mode
- about / Interpolation
- functions, without singularities on finite intervals
- functions, with singularities on bounded domains
- about / Functions with singularities on bounded domains
- weighted functions / Weighted functions
- general functions, with singularities / General functions with singularities
G
- gamma correction
- about / Contrast enhancement
- Gaussian mixture models
- about / Gaussian mixture models
- Gaussian noise / Noise reduction
- generic square matrices
- generic univariate interpolation / Implementation details
- geographic information systems (GIS)
- Geometric Modeling
- about / Numerical computational geometry
- geometric query problems
- about / Geometric query problems
- point location / Point location
- nearest neighbors / Nearest neighbors
- range searching / Range searching
- geometric transformations
- about / Geometric transformations
- graphs
- distributions, picturing with / Picturing distributions with graphs
- Graphviz
- URL / Trees
- gray-scale image
- about / Gray-scale
H
- Hermite interpolation
- about / Hermite interpolation
- Hermitian transpose
- about / Transposes and inverses
- Hessian matrix / Multivariate calculus
- high-level operations, on digital images
- about / High-level operations on digital images
- object measurements / Object measurements
- Mathematical morphology / Mathematical morphology
- filters, smoothing / Smoothing filters
- multivariate calculus / Multivariate calculus
- statistical filters / Statistical filters
- Fourier analysis / Fourier analysis
- wavelet decompositions / Wavelet decompositions
- histogram equalization
- about / Histogram equalization
- histograms
- about / Histograms
- Hubble eXtreme Deep Field
- about / Object measurements
- reference link / Object measurements
- Hue-Saturation-Value (HSV) color space
- about / Color
- hypothesis testing
- about / Statistical inference
I
- image analysis
- about / Image analysis
- image structure / Image structure
- image compression
- about / Image compression
- lossless compression schemes / Lossless compression
- lossy compression schemes / Lossy compression
- image editing
- about / Image editing
- image editing, example
- transformations, of domain / Transformations of the domain
- intensity adjustment / Intensity adjustment
- image restoration / Image restoration
- inpainting / Inpainting
- image editing, examples
- about / Image editing
- image restoration
- about / Image restoration
- noise reduction / Noise reduction
- sharpening / Sharpening and blurring
- blurring / Sharpening and blurring
- image structure
- about / Image structure
- imgproc module
- reference link / Inpainting
- Implicitly Restarted Arnoldi method
- about / Spectral decomposition
- Implicitly Restarted Lanczos method
- about / Spectral decomposition
- inpainting
- defining / Inpainting
- Insight Segmentation and Registration Toolkit (ITK)
- URL / Image structure
- integration
- about / Integration
- symbolic integration / Integration, Symbolic integration
- numerical integration / Integration, Numerical integration
- intensity adjustment
- about / Intensity adjustment
- histogram equalization / Histogram equalization
- intensity clipping/resizing / Intensity clipping/resizing
- contrast enhancement / Contrast enhancement
- intensity clipping
- about / Intensity clipping/resizing
- intensity resizing
- about / Intensity clipping/resizing
- interpolation
- exploring / Motivation
- about / Interpolation
- implementation details / Implementation details
- univariate interpolation / Univariate interpolation
- multivariate interpolation / Multivariate interpolation
- interpolation problem
- requisites / Motivation
- interval / Bayesian approach
- interval estimation
- about / Statistical inference
- interval estimation, statistical inference
- frequentist approach / Frequentist approach
- Bayesian approach / Bayesian approach
- likelihood approach / Likelihood approach
- inverses
- about / Transposes and inverses
- isometric mapping (isomap)
- about / Isometric mappings
- iterative methods, for univariate functions
- about / Iterative methods for univariate functions
- bracketing methods / Iterative methods for univariate functions, Bracketing methods
- secant methods / Iterative methods for univariate functions, Secant methods
- brent method / Iterative methods for univariate functions, Brent method
K
- k-d trees / Nearest neighbors
- Kmeans
- about / Kmeans
L
- Lagrange interpolation
- about / Lagrange interpolation
- LAPACK
- URL / Motivation
- large scale solvers
- about / Large-scale solvers
- Least Absolute Shrinkage and Selection Operator (LASSO) / Linear regression beyond ordinary least-squares
- least squares
- about / Least squares
- normal equations / Normal equations
- QR factorization / QR factorization
- singular value decomposition / Singular value decomposition
- least squares approximation
- about / Motivation, Least squares approximation
- linear least squares approximation / Linear least squares approximation
- nonlinear least squares approximation / Nonlinear least squares approximation
- Lempel-Ziv-Welch (LZW)
- about / Lossless compression
- lensfun library
- lensfunpy package
- Levenberg-Marquardt algorithm
- Line / Plane geometry
- linear approximation
- about / Motivation
- linear least squares approximation
- linear operators
- creating / Creation of matrices and linear operators
- about / Linear operators
- linear regression, beyond ordinary least-squares / Linear regression beyond ordinary least-squares
- locally linear embedding
- about / Locally linear embedding
- Locally Optimal Block Preconditioned Conjugate Gradient method
- about / Spectral decomposition
- logarithmic correction
- about / Contrast enhancement
- lossless compression schemes, image compression
- run-length encoding / Lossless compression
- Lempel-Ziv-Welch (LZW) / Lossless compression
- deflation / Lossless compression
- chain code / Lossless compression
- lossy compression schemes, image compression
- about / Lossy compression
M
- Machine geometry
- about / Numerical computational geometry
- machine learning
- about / Data mining and machine learning
- magnetic resonance imaging (MRI) device
- about / Motivation
- Markov Chain Monte Carlo (MCMC) method / Bayesian approach
- Mathematical morphology
- about / Mathematical morphology
- matrices
- creating / Creation of matrices and linear operators
- constructing, in ndarray class / Constructing matrices in the ndarray class
- constructing, in matrix class / Constructing matrices in the matrix class
- matrix addition
- matrix class
- matrices, constructing in / Constructing matrices in the matrix class
- matrix equations
- about / Matrix equations
- back and forward substitution / Back and forward substitution
- banded matrices / Basic systems: banded matrices
- generic square matrices / Basic systems: generic square matrices
- least squares / Least squares
- regularized least squares / Regularized least squares
- matrix equation solvers
- about / Other matrix equation solvers
- matrix factorizations, based on eigenvalues
- about / Matrix factorizations based on eigenvalues
- spectral decomposition / Spectral decomposition
- Schur decomposition / Schur decomposition
- matrix factorizations, related to solving matrix equations
- about / Matrix factorizations related to solving matrix equations
- relevant factorizations / Relevant factorizations
- matrix functions
- about / Matrix functions
- computing / Matrix functions
- Matrix Market
- URL / Motivation
- Matrix Market Exchange format
- about / Motivation, Constructing sparse matrices
- matrix multiplication
- MeanShift
- about / MeanShift
- methods, for inputting sparse matrices
- Block Sparse Row / Constructing sparse matrices
- Coordinate / Constructing sparse matrices
- Compressed Sparse Column / Constructing sparse matrices
- Compressed Sparse Row / Constructing sparse matrices
- diagonal storage / Constructing sparse matrices
- dictionary of keys / Constructing sparse matrices
- row-based linked list / Constructing sparse matrices
- fancy indexing / Constructing sparse matrices
- data, rows, and columns / Constructing sparse matrices
- data, indices, and pointers / Constructing sparse matrices
- Mini-batch Kmeans
- about / Kmeans
- MINPACK
- URL / Motivation
- Monte-Carlo simulation
- Moore-Penrose pseudo-inverse
- about / Transposes and inverses
- mpmath
- multivariate calculus
- about / Multivariate calculus
- multivariate interpolation
N
- Naive Bayes
- about / Naive Bayes
- ndarray class
- matrices, constructing in / Constructing matrices in the ndarray class
- nearest-neighbors interpolation
- about / Nearest-neighbors interpolation
- nearest neighbors
- about / Nearest neighbors, Nearest neighbors
- networkx
- about / Constructing sparse matrices
- URL / Constructing sparse matrices
- Newton-Cotes quadratures
- Newton methods / Unconstrained optimization for multivariate functions, The Broyden-Fletcher-Goldfarb-Shanno quasi-Newton method
- noise, cases
- Gaussian noise / Noise reduction
- Poisson noise / Noise reduction
- Salt and pepper / Noise reduction
- Speckle / Noise reduction
- noise reduction
- about / Noise reduction
- non-linear equations
- about / Non-linear equations and systems
- non-symmetric banded square matrix / Basic systems: banded matrices
- nonlinear approximation
- about / Motivation
- nonlinear least squares approximation
- normal equations
- about / Normal equations
- norms
- about / Norms and condition numbers
- Numerical computational geometry
- about / Numerical computational geometry
- numerical differentiation
- about / Differentiation, Numerical differentiation
- numerical integration
- about / Integration, Numerical integration
- functions, without singularities on finite intervals / Functions without singularities on finite intervals
- functions, with singularities on bounded domains / Functions with singularities on bounded domains
- on unbounded domains / Integration on unbounded domains
- Numerical Linear Algebra
- graph, example / Motivation
- Numerical Mathematics
- example / Motivation
- numerical multivariate integration
- numerical setting, probability
- about / Numerical setting
O
- object measurements
- about / Object measurements
- object recognition
- about / Object recognition
- edge detection / Edge detection
- line detection / Line, circle, and ellipse detection
- circle detection / Line, circle, and ellipse detection
- ellipse detection / Line, circle, and ellipse detection
- blob detection / Blob detection
- corner detection / Corner detection
- beyond geometric entities / Beyond geometric entities
- ODE library
- URL / Two-step methods
- ODEPACK library
- URL / Two-step methods
- openclipart
- URL / Mathematical morphology
- optimization
- about / Optimization
- unconstrained optimization for univariate functions / Unconstrained optimization for univariate functions
- constrained optimization for univariate functions / Constrained optimization for univariate functions
- unconstrained optimization for multivariate functions / Unconstrained optimization for multivariate functions
- constrained optimization for multivariate functions / Constrained optimization for multivariate functions
- ordinary least-squares regression, for large datasets / Ordinary least-squares regression for large datasets
- ordinary linear regression, for moderate-sized datasets / Ordinary linear regression for moderate-sized datasets
P
- piecewise monotonic cubic Hermite interpolation (PCHIP)
- about / Spline interpolation
- piecewise polynomial interpolation
- pie charts
- about / Bar plots and pie charts
- pivoted LU decomposition
- about / Pivoted LU decomposition
- plane geometry
- about / Plane geometry
- Point / Plane geometry
- point location / Point location
- Poisson noise / Noise reduction
- poly files
- URL / Convex hulls
- poly format
- URL / Convex hulls
- Powell's hybrid solver
- about / Powell's hybrid solver
- principal component analysis (PCA)
- about / Principal component analysis
- probability
- about / Probability
- symbolic setting / Symbolic setting
- numerical setting / Numerical setting
- probability density function (PDF) / Motivation
- procedural mode
- about / Interpolation
- Proprietary Matlab .mat format / Motivation
- PyWavelets
- URL, for downloading / Wavelet decompositions
Q
- QAGS
- Qhull libraries
- URL / Convex hulls
- Qhull manual
- URL / Convex hulls
- QR decomposition
- about / QR decomposition
- QR factorization
- about / QR factorization
- QUADPACK libraries, netlib repositories
- quantitative variables
- relationship between / Relationship between quantitative variables
R
- range / Range searching
- range searching
- about / Range searching
- real generalized Schur decomposition / Schur decomposition
- real Schur decomposition / Schur decomposition
- regression
- about / Regression
- ordinary linear regression for moderate-sized datasets / Ordinary linear regression for moderate-sized datasets
- ordinary least-squares regression for large datasets / Ordinary least-squares regression for large datasets
- liinear regression beyond ordinary least-squares / Linear regression beyond ordinary least-squares
- support vector machines / Support vector machines
- ensemble methods / Ensemble methods
- regularized least squares
- about / Regularized least squares
- relevant factorizations
- about / Relevant factorizations
- pivoted LU decomposition / Pivoted LU decomposition
- Cholesky decomposition / Cholesky decomposition
- QR decomposition / QR decomposition
- singular value decomposition / Singular value decomposition
- run-length encoding / Lossless compression
- Rutherford-Boeing Exchange format
- about / Motivation
S
- Salt and pepper / Noise reduction
- scalar multiplication
- scatterplots
- and correlation / Scatterplots and correlation
- Schur decomposition
- about / Schur decomposition
- complex Schur decomposition / Schur decomposition
- real Schur decomposition / Schur decomposition
- complex generalized Schur decomposition / Schur decomposition
- real generalized Schur decomposition / Schur decomposition
- scikit-learn toolkit
- URL / Ensemble methods
- scipy.misc
- URL, for documentation / Numerical differentiation
- scipy.misc library
- about / Gray-scale
- scipy.sparse.csgraph module
- about / Shortest paths
- URL / Shortest paths
- scipy.sparse module / Shortest paths
- scipy.special
- URL, for documentation / Motivation
- URL / Motivation
- scipy.stats library
- Segment / Plane geometry
- segmentation
- about / Image structure
- sharpening
- about / Sharpening and blurring
- shortest paths
- about / Static problems, Shortest paths
- Sigmoid correction
- about / Contrast enhancement
- simple iterative solvers
- about / Simple iterative solvers
- SimpleITK
- URL / Image structure
- singular value decomposition
- skimage.color module
- URL, for documentation / Color
- sparse matrices
- reference link / Motivation
- constructing / Constructing sparse matrices
- Sparse Matrix Collection
- URL / Spectral decomposition
- Speckle / Noise reduction
- spectral clustering
- about / Spectral clustering
- spectral decomposition
- about / Spectral decomposition
- spectral embedding
- about / Spectral embedding
- Spline interpolation
- about / Spline interpolation
- static problems, Combinatorial computational geometry
- convex hulls / Static problems, Convex hulls
- Voronoi diagrams / Static problems, Voronoi diagrams
- triangulations / Static problems, Triangulations
- shortest paths / Static problems, Shortest paths
- statistical filters
- about / Statistical filters
- statistical inference
- about / Statistical inference
- estimation / Statistical inference
- interval estimation / Statistical inference, Interval estimation
- hypothesis testing / Statistical inference
- estimation of parameters / Estimation of parameters
- Steiner points / Triangulations
- stochastic gradient descent (SGD) / Ordinary least-squares regression for large datasets
- stochastic methods
- SuperLU
- URL / Motivation, Motivation
- SuperLU User Guide
- support vector classification
- about / Support vector classification
- support vector machines / Support vector machines
- swirl
- performing / Swirl
- symbolic differentiation
- about / Differentiation, Symbolic differentiation
- symbolic integration
- about / Integration, Symbolic integration
- symbolic setting, probability / Symbolic setting
- symbolic solution of differential equations
- SymPy
- URL / Symbolic solution of differential equations
- URL, for documentation / Plane geometry
- sympy.stats
- URL / Symbolic setting
- sympy libraries
- SymPy library
- URL / Differentiation
- systems of nonlinear equations
- about / Systems of nonlinear equations
- simple iterative solvers / Simple iterative solvers
- broyden method / The Broyden method
- Powell's hybrid solver / Powell's hybrid solver
- large scale solvers / Large-scale solvers
T
- Theano
- URL / Differentiation
- time plots
- about / Time plots
- time series
- analysis / Analysis of the time series
- traces
- about / Traces and determinants
- transformations, of domain
- about / Transformations of the domain
- resize / Rescale and resize
- rescale / Rescale and resize
- swirl, performing / Swirl
- geometric transformations / Geometric transformations
- transition matrix
- about / Motivation
- transposes
- about / Transposes and inverses
- Triangle / Plane geometry
- triangulations
- about / Static problems, Triangulations
- two-dimensional geometric shapes, skimage.draw module
U
- unconstrained optimization for multivariate functions
- about / Unconstrained optimization for multivariate functions
- stochastic methods / Unconstrained optimization for multivariate functions, The stochastic methods
- deterministic algorithms that employ exclusively function evaluations / Unconstrained optimization for multivariate functions, Deterministic algorithms that exclusively employ function evaluations
- Newton methods / Unconstrained optimization for multivariate functions, The Broyden-Fletcher-Goldfarb-Shanno quasi-Newton method
- conjugate gradient methods / Unconstrained optimization for multivariate functions, The conjugate gradient method
- unconstrained optimization for univariate functions
- univariate interpolation
- about / Implementation details, Univariate interpolation
- nearest-neighbors interpolation / Nearest-neighbors interpolation
- Lagrange interpolation / Lagrange interpolation
- Hermite interpolation / Hermite interpolation
- piecewise polynomial interpolation / Piecewise polynomial interpolation
- Spline interpolation / Spline interpolation
V
- VBGMM
- about / Gaussian mixture models
- Voronoi diagrams
- about / Static problems, Voronoi diagrams
W
- wavelet decompositions
- performing / Wavelet decompositions
Z
- zero spline
- about / Spline interpolation