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% Image and Multi-scale Pyramid Tools% Version 1.3, October 2004.% Created: Early Spring, 1996. Eero Simoncelli, eero.simoncelli@nyu.edu%% See README file for brief description.% See ChangeLog file for latest modifications. % See TUTORIALS subdirectory for demonstrations.% Type "help <command-name>" for documentation on individual commands.% -----------------------------------------------------------------% Synthetic Images (matrices):% mkImpulse - Make an image containing an impulse.% mkRamp - Make an image containing a ramp function.% mkR - Make an image containing distance from the origin.% mkAngle - Make an image containing angle about origin.% mkDisc - Make an image containing a disk image.% mkGaussian - Make an image containing a Gaussian function.% mkZonePlate - Make an image containing a zone plate (cos(r^2)).% mkAngularSine - Make an image containing an angular sine wave (pinwheel).% mkSine - Make an image containing a sine grating.% mkSquare - Make an image containing a square grating.% mkFract - Make an image containing fractal (1/f) noise.%% Point Operations:% clip - clip values to a range. % pointOp - Lookup table (much faster than interp1) [MEX file]% histo - Efficient histogram computation [MEX file]% histoMatch - Modify matrix elements to match specified histogram stats.%% Convolution (first two are significantly faster):% corrDn - Correlate & downsample with boundary-handling [MEX file]% upConv - Upsample & convolve with boundary-handling [MEX file]% blurDn - Blur and subsample a signal/image.% upBlur - Upsample and blur a signal/image.% blur - Multi-scale blurring, calls blurDn and then upBlur.% cconv2 - Circular convolution.% rconv2 - Convolution with reflected boundaries.% zconv2 - Convolution assuming zeros beyond image boundaries.%% General pyramids:% pyrLow - Access lowpass subband from (any type of) pyramid% pyrBand - Access a subband from (any type of) pyramid% setPyrBand - Insert an image into (any type of) pyramid as a subband % pyrBandIndices - Returns indices for given band in a pyramid vector% maxPyrHt - compute maximum number of scales in a pyramid%% Gaussian/Laplacian Pyramids:% buildGpyr - Build a Gaussian pyramid of an input signal/image.% buildLpyr - Build a Laplacian pyramid of an input signal/image.% reconLpyr - Reconstruct (invert) the Laplacian pyramid transform.%% Separable orthonormal QMF/wavelet Pyramids:% buildWpyr - Build a separable wavelet representation of an input signal/image.% reconWpyr - Reconstruct (invert) the wavelet transform.% wpyrBand - Extract a single band of the wavelet representation.% wpyrLev - Extract (packed) subbands at a particular level% wpyrHt - Number of levels (height) of a wavelet pyramid.%% Steerable Pyramids:% buildSpyr - Build a steerable pyramid representation of an input image.% reconSpyr - Reconstruct (invert) the steerable pyramid transform.% buildSFpyr - Build a steerable pyramid representation in the Fourier domain.% reconSFpyr - Reconstruct (invert) the (Fourier domain) steerable pyramid transform.% spyrBand - Extract a single band from a steerable pyramid.% spyrHigh - Highpass residual band.% spyrLev - A whole level (i.e., all images at a given scale) of a steerable pyramid.% spyrHt - Number of levels (height) of a steerable pyramid.% spyrNumBands - Number of orientation bands in a steerable pyramid.%% Steerable filters / derivatives:% imGradient - Compute gradient of image using directionally accurete filters.% steer - Steer filters (or responses).% steer2HarmMtx - Construct a matrix mapping direcional basis to angular harmonics. % % Filters:% binomialFilter - returns a filter of binomial coefficients.% namedFilter - some typical Laplacian/Wavelet pyramid filters% spNFilters - Set of Nth order steerable pyramid filters.% derivNFiltersS - Matched set of S-tap 1D derivatives, orders 0 to N.% % Display:% showIm - Display a matrix (real or complex) as grayscale image(s).% Displays dimensions, subsampling, and range of pixel values.% showLpyr - Display a Laplacian pyramid.% showWpyr - Display a separable wavelet pyramid.% showSpyr - Display a steerable pyramid.% lplot - "lollipop" plot.% nextFig - Make next figure window current.% pixelAxes - Make image display use an integer number of pixels % per sample to avoid resampling artifacts.% % Statistics (for 2D Matrices):% range2 - Min and max of image (matrix) [MEX file]% mean2 - Sample mean of an image (matrix). % var2 - Sample variance of an image (matrix). % skew2 - Sample skew (3rd moment / variance^1.5) of an image (matrix). % kurt2 - Sample kurtosis (4th moment / variance^2) of an image (matrix). % entropy2 - Sample entropy of an image (matrix).% imStats - Report sample statistics of an image, or pair of images.%% Miscellaneous:% pgmRead - Load a "pgm" image into a MatLab matrix [try einstein.pgm,feynman.pgm]% pgmWrite - Write a MatLab matrix to a "pgm" image file.% shift - circular shift a 2D matrix by an arbitrary amount.% vectify - pack matrix into column vector (i.e., function to compute mtx(:)).% ifftshift - inverse of MatLab's FFTSHIFT (differs for odd-length dimensions)% rcosFn - return a lookup table of a raised-cosine threshold fn.% innerProd - Compute M'*M efficiently (i.e., do not copy) [MEX file]
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