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function [sift, SIFTparam] = LMdenseSift(D, HOMEIMAGES, SIFTparam, HOMESIFT)
%
% Computes dense SIFT features.
% The SIFT grid will be defined by the parameters:
% SIFTparam.grid_spacing = 1; % distance between grid centers
% SIFTparam.patch_size = 16; % size of patch from which to compute SIFT
% descriptor (it has to be a factor of 4)
%
% Run demoSIFT.m to see an example of how it works.
%
% The SIFT descriptor at each location has 128 dimensions.
%
% This function can be called as:
%
% [sift, param] = LMdenseSift(D(n), HOMEIMAGES, param);
% [sift, param] = LMdenseSift(filename, HOMEIMAGES, param);
% [sift, param] = LMdenseSift(filename, HOMEIMAGES, param, HOMESIFT);
% LMdenseSift(D, HOMEIMAGES, param, HOMESIFT);
%
% 'sift' corresponds to the features of the last image. So, call it passing
% just one image. But you can precompute the SIFT features for a set of
% images: When calling LMdenseSift with a fourth argument it will store the sift descriptors in a
% new folder structure mirroring the folder structure of the images. Then,
% when called again, if the sift files already exist, it will just read
% them without recomputing them.
%
% Antonio Torralba, 2008
if nargin==4
precomputed = 1;
% get list of folders and create non-existing ones
%listoffolders = {D(:).annotation.folder};
else
precomputed = 0;
HOMESIFT = '';
end
if nargin<3
% Default parameters
SIFTparam.grid_spacing = 1; % distance between grid centers
SIFTparam.patch_size = 16; % size of patch from which to compute SIFT descriptor (it has to be a factor of 4)
end
SIFTparam.w = SIFTparam.patch_size/2; % boundary
Nfeatures = 128;
if isstruct(D)
% [gist, param] = LMdenseSift(D, HOMEIMAGES, param);
Nscenes = length(D);
typeD = 1;
end
if iscell(D)
% [gist, param] = LMdenseSift(filename, HOMEIMAGES, param);
Nscenes = length(D);
typeD = 2;
end
if isnumeric(D)
% [gist, param] = LMdenseSift(img, HOMEIMAGES, param);
Nscenes = size(D,4);
typeD = 3;
end
if Nscenes >1
fig = figure;
end
% Loop: Compute SIFT features for all scenes
sift = zeros([Nscenes Nfeatures], 'single');
for n = 1:Nscenes
g = [];
todo = 1;
% if SIFT has already been computed, just read the file
if precomputed==1
filesift = fullfile(HOMESIFT, D(n).annotation.folder, [D(n).annotation.filename(1:end-4) '.mat']);
if exist(filesift, 'file')
load(filesift, 'sift', 'SIFTparam');
todo = 0;
end
end
% otherwise compute SIFT
if todo==1
disp([n Nscenes])
% load image
try
switch typeD
case 1
img = LMimread(D, n, HOMEIMAGES);
case 2
img = imread(fullfile(HOMEIMAGES, D{n}));
case 3
img = D(:,:,:,n);
end
catch
disp(D(n).annotation.folder)
disp(D(n).annotation.filename)
rethrow(lasterror)
end
% get SIFT descriptors
[sift, SIFTparam.grid_x, SIFTparam.grid_y] = dense_sift(img, SIFTparam);
if isfield(SIFTparam, 'edges')
% 'dont-compute': default if field not present
% 'siftrepeat'
w = SIFTparam.w-1;
switch lower(SIFTparam.edges)
case 'siftrepeat'
sift = [repmat(sift(1,:,:),[w 1 1]); sift; repmat(sift(end,:,:),[w 1 1])];
sift = [repmat(sift(:,1,:),[1 w 1]), sift, repmat(sift(:,end,:),[1 w 1])];
otherwise
error('Unknown edges method')
end
end
% save SIFT if a HOMESIFT file is provided
if precomputed
mkdir(fullfile(HOMESIFT, D(n).annotation.folder))
save (filesift, 'sift', 'SIFTparam')
end
if Nscenes >1
figure(fig);
subplot(121)
imshow(uint8(img))
subplot(122)
showColorSIFT(sift)
end
end
drawnow
end
function [sift_arr, grid_x, grid_y] = dense_sift(I, SIFTparam)
% Original script by Svetlana Lazebnick
% Antonio Torralba: modified using convolutions to speed up the
% computations.
grid_spacing = SIFTparam.grid_spacing;
patch_size = SIFTparam.patch_size;
I = double(I);
I = mean(I,3);
I = I /max(I(:));
% parameters
num_angles = 8;
num_bins = 4;
num_samples = num_bins * num_bins;
alpha = 9; %% parameter for attenuation of angles (must be odd)
if nargin < 5
sigma_edge = 1;
end
angle_step = 2 * pi / num_angles;
angles = 0:angle_step:2*pi;
angles(num_angles+1) = []; % bin centers
[hgt wid] = size(I);
[G_X,G_Y]=gen_dgauss(sigma_edge);
% add boundary:
I = [I(2:-1:1,:,:); I; I(end:-1:end-1,:,:)];
I = [I(:,2:-1:1,:) I I(:,end:-1:end-1,:)];
I = I-mean(I(:));
I_X = filter2(G_X, I, 'same'); % vertical edges
I_Y = filter2(G_Y, I, 'same'); % horizontal edges
I_X = I_X(3:end-2,3:end-2,:);
I_Y = I_Y(3:end-2,3:end-2,:);
I_mag = sqrt(I_X.^2 + I_Y.^2); % gradient magnitude
I_theta = atan2(I_Y,I_X);
I_theta(find(isnan(I_theta))) = 0; % necessary????
% grid
grid_x = patch_size/2:grid_spacing:wid-patch_size/2+1;
grid_y = patch_size/2:grid_spacing:hgt-patch_size/2+1;
% make orientation images
I_orientation = zeros([hgt, wid, num_angles], 'single');
% for each histogram angle
cosI = cos(I_theta);
sinI = sin(I_theta);
for a=1:num_angles
% compute each orientation channel
tmp = (cosI*cos(angles(a))+sinI*sin(angles(a))).^alpha;
tmp = tmp .* (tmp > 0);
% weight by magnitude
I_orientation(:,:,a) = tmp .* I_mag;
end
% Convolution formulation:
weight_kernel = zeros(patch_size,patch_size);
r = patch_size/2;
cx = r - 0.5;
sample_res = patch_size/num_bins;
weight_x = abs((1:patch_size) - cx)/sample_res;
weight_x = (1 - weight_x) .* (weight_x <= 1);
for a = 1:num_angles
%I_orientation(:,:,a) = conv2(I_orientation(:,:,a), weight_kernel, 'same');
I_orientation(:,:,a) = conv2(weight_x, weight_x', I_orientation(:,:,a), 'same');
end
% Sample SIFT bins at valid locations (without boundary artifacts)
% find coordinates of sample points (bin centers)
[sample_x, sample_y] = meshgrid(linspace(1,patch_size+1,num_bins+1));
sample_x = sample_x(1:num_bins,1:num_bins); sample_x = sample_x(:)-patch_size/2;
sample_y = sample_y(1:num_bins,1:num_bins); sample_y = sample_y(:)-patch_size/2;
sift_arr = zeros([length(grid_y) length(grid_x) num_angles*num_bins*num_bins], 'single');
b = 0;
for n = 1:num_bins*num_bins
sift_arr(:,:,b+1:b+num_angles) = I_orientation(grid_y+sample_y(n), grid_x+sample_x(n), :);
b = b+num_angles;
end
clear I_orientation
% Outputs:
[grid_x,grid_y] = meshgrid(grid_x, grid_y);
[nrows, ncols, cols] = size(sift_arr);
% normalize SIFT descriptors
%sift_arr = reshape(sift_arr, [nrows*ncols num_angles*num_bins*num_bins]);
%sift_arr = normalize_sift(sift_arr);
%sift_arr = reshape(sift_arr, [nrows ncols num_angles*num_bins*num_bins]);
ct = .1;
sift_arr = sift_arr + ct;
tmp = sqrt(sum(sift_arr.^2, 3));
sift_arr = sift_arr ./ repmat(tmp, [1 1 size(sift_arr,3)]);
function [GX,GY]=gen_dgauss(sigma)
% laplacian of size sigma
%f_wid = 4 * floor(sigma);
%G = normpdf(-f_wid:f_wid,0,sigma);
%G = G' * G;
G = gen_gauss(sigma);
[GX,GY] = gradient(G);
GX = GX * 2 ./ sum(sum(abs(GX)));
GY = GY * 2 ./ sum(sum(abs(GY)));
function G=gen_gauss(sigma)
if all(size(sigma)==[1, 1])
% isotropic gaussian
f_wid = 4 * ceil(sigma) + 1;
G = fspecial('gaussian', f_wid, sigma);
% G = normpdf(-f_wid:f_wid,0,sigma);
% G = G' * G;
else
% anisotropic gaussian
f_wid_x = 2 * ceil(sigma(1)) + 1;
f_wid_y = 2 * ceil(sigma(2)) + 1;
G_x = normpdf(-f_wid_x:f_wid_x,0,sigma(1));
G_y = normpdf(-f_wid_y:f_wid_y,0,sigma(2));
G = G_y' * G_x;
end