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| 1 | % Image and Multi-scale Pyramid Tools | ||
| 2 | % Version 1.3, October 2004. | ||
| 3 | % Created: Early Spring, 1996. Eero Simoncelli, eero.simoncelli@nyu.edu | ||
| 4 | % | ||
| 5 | % See README file for brief description. | ||
| 6 | % See ChangeLog file for latest modifications. | ||
| 7 | % See TUTORIALS subdirectory for demonstrations. | ||
| 8 | % Type "help <command-name>" for documentation on individual commands. | ||
| 9 | % ----------------------------------------------------------------- | ||
| 10 | % Synthetic Images (matrices): | ||
| 11 | % mkImpulse - Make an image containing an impulse. | ||
| 12 | % mkRamp - Make an image containing a ramp function. | ||
| 13 | % mkR - Make an image containing distance from the origin. | ||
| 14 | % mkAngle - Make an image containing angle about origin. | ||
| 15 | % mkDisc - Make an image containing a disk image. | ||
| 16 | % mkGaussian - Make an image containing a Gaussian function. | ||
| 17 | % mkZonePlate - Make an image containing a zone plate (cos(r^2)). | ||
| 18 | % mkAngularSine - Make an image containing an angular sine wave (pinwheel). | ||
| 19 | % mkSine - Make an image containing a sine grating. | ||
| 20 | % mkSquare - Make an image containing a square grating. | ||
| 21 | % mkFract - Make an image containing fractal (1/f) noise. | ||
| 22 | % | ||
| 23 | % Point Operations: | ||
| 24 | % clip - clip values to a range. | ||
| 25 | % pointOp - Lookup table (much faster than interp1) [MEX file] | ||
| 26 | % histo - Efficient histogram computation [MEX file] | ||
| 27 | % histoMatch - Modify matrix elements to match specified histogram stats. | ||
| 28 | % | ||
| 29 | % Convolution (first two are significantly faster): | ||
| 30 | % corrDn - Correlate & downsample with boundary-handling [MEX file] | ||
| 31 | % upConv - Upsample & convolve with boundary-handling [MEX file] | ||
| 32 | % blurDn - Blur and subsample a signal/image. | ||
| 33 | % upBlur - Upsample and blur a signal/image. | ||
| 34 | % blur - Multi-scale blurring, calls blurDn and then upBlur. | ||
| 35 | % cconv2 - Circular convolution. | ||
| 36 | % rconv2 - Convolution with reflected boundaries. | ||
| 37 | % zconv2 - Convolution assuming zeros beyond image boundaries. | ||
| 38 | % | ||
| 39 | % General pyramids: | ||
| 40 | % pyrLow - Access lowpass subband from (any type of) pyramid | ||
| 41 | % pyrBand - Access a subband from (any type of) pyramid | ||
| 42 | % setPyrBand - Insert an image into (any type of) pyramid as a subband | ||
| 43 | % pyrBandIndices - Returns indices for given band in a pyramid vector | ||
| 44 | % maxPyrHt - compute maximum number of scales in a pyramid | ||
| 45 | % | ||
| 46 | % Gaussian/Laplacian Pyramids: | ||
| 47 | % buildGpyr - Build a Gaussian pyramid of an input signal/image. | ||
| 48 | % buildLpyr - Build a Laplacian pyramid of an input signal/image. | ||
| 49 | % reconLpyr - Reconstruct (invert) the Laplacian pyramid transform. | ||
| 50 | % | ||
| 51 | % Separable orthonormal QMF/wavelet Pyramids: | ||
| 52 | % buildWpyr - Build a separable wavelet representation of an input signal/image. | ||
| 53 | % reconWpyr - Reconstruct (invert) the wavelet transform. | ||
| 54 | % wpyrBand - Extract a single band of the wavelet representation. | ||
| 55 | % wpyrLev - Extract (packed) subbands at a particular level | ||
| 56 | % wpyrHt - Number of levels (height) of a wavelet pyramid. | ||
| 57 | % | ||
| 58 | % Steerable Pyramids: | ||
| 59 | % buildSpyr - Build a steerable pyramid representation of an input image. | ||
| 60 | % reconSpyr - Reconstruct (invert) the steerable pyramid transform. | ||
| 61 | % buildSFpyr - Build a steerable pyramid representation in the Fourier domain. | ||
| 62 | % reconSFpyr - Reconstruct (invert) the (Fourier domain) steerable pyramid transform. | ||
| 63 | % spyrBand - Extract a single band from a steerable pyramid. | ||
| 64 | % spyrHigh - Highpass residual band. | ||
| 65 | % spyrLev - A whole level (i.e., all images at a given scale) of a steerable pyramid. | ||
| 66 | % spyrHt - Number of levels (height) of a steerable pyramid. | ||
| 67 | % spyrNumBands - Number of orientation bands in a steerable pyramid. | ||
| 68 | % | ||
| 69 | % Steerable filters / derivatives: | ||
| 70 | % imGradient - Compute gradient of image using directionally accurete filters. | ||
| 71 | % steer - Steer filters (or responses). | ||
| 72 | % steer2HarmMtx - Construct a matrix mapping direcional basis to angular harmonics. | ||
| 73 | % | ||
| 74 | % Filters: | ||
| 75 | % binomialFilter - returns a filter of binomial coefficients. | ||
| 76 | % namedFilter - some typical Laplacian/Wavelet pyramid filters | ||
| 77 | % spNFilters - Set of Nth order steerable pyramid filters. | ||
| 78 | % derivNFiltersS - Matched set of S-tap 1D derivatives, orders 0 to N. | ||
| 79 | % | ||
| 80 | % Display: | ||
| 81 | % showIm - Display a matrix (real or complex) as grayscale image(s). | ||
| 82 | % Displays dimensions, subsampling, and range of pixel values. | ||
| 83 | % showLpyr - Display a Laplacian pyramid. | ||
| 84 | % showWpyr - Display a separable wavelet pyramid. | ||
| 85 | % showSpyr - Display a steerable pyramid. | ||
| 86 | % lplot - "lollipop" plot. | ||
| 87 | % nextFig - Make next figure window current. | ||
| 88 | % pixelAxes - Make image display use an integer number of pixels | ||
| 89 | % per sample to avoid resampling artifacts. | ||
| 90 | % | ||
| 91 | % Statistics (for 2D Matrices): | ||
| 92 | % range2 - Min and max of image (matrix) [MEX file] | ||
| 93 | % mean2 - Sample mean of an image (matrix). | ||
| 94 | % var2 - Sample variance of an image (matrix). | ||
| 95 | % skew2 - Sample skew (3rd moment / variance^1.5) of an image (matrix). | ||
| 96 | % kurt2 - Sample kurtosis (4th moment / variance^2) of an image (matrix). | ||
| 97 | % entropy2 - Sample entropy of an image (matrix). | ||
| 98 | % imStats - Report sample statistics of an image, or pair of images. | ||
| 99 | % | ||
| 100 | % Miscellaneous: | ||
| 101 | % pgmRead - Load a "pgm" image into a MatLab matrix [try einstein.pgm,feynman.pgm] | ||
| 102 | % pgmWrite - Write a MatLab matrix to a "pgm" image file. | ||
| 103 | % shift - circular shift a 2D matrix by an arbitrary amount. | ||
| 104 | % vectify - pack matrix into column vector (i.e., function to compute mtx(:)). | ||
| 105 | % ifftshift - inverse of MatLab's FFTSHIFT (differs for odd-length dimensions) | ||
| 106 | % rcosFn - return a lookup table of a raised-cosine threshold fn. | ||
| 107 | % innerProd - Compute M'*M efficiently (i.e., do not copy) [MEX file] | ||
