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ncorr_class_roi.m
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ncorr_class_roi.m
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classdef ncorr_class_roi < handle
% This is the class definition for the region of interest.
% Properties ---------------------------------------------------------%
properties(SetAccess = private)
type; % string
mask; % logical array
region; % struct('nodelist',{},'noderange',{},'leftbound',{},'rightbound',{},'upperbound',{},'lowerbound',{},'totalpoints',{})
boundary; % struct('add',{},'sub',{})
data; % varying struct
end
% Methods ------------------------------------------------------------%
methods(Access = public)
% Constructor
function obj = ncorr_class_roi
obj.type = '';
obj.mask = false(0);
obj.region = struct('nodelist',{},'noderange',{},'leftbound',{},'rightbound',{},'upperbound',{},'lowerbound',{},'totalpoints',{});
obj.boundary = struct('add',{},'sub',{});
obj.data = struct();
end
function set_roi(obj,type_i,data_i)
% This function sets the region of interest.
%
% Inputs ---------------------------------------------------------%
% type_i - string; describes how ROI was made. Supported types
% shown below:
% 'load' - mask was loaded from an image file. data_i is
% struct('mask',{},'cutoff',{}).
% 'draw' - mask was drawn. data_i is
% struct('mask',{}','drawobjects',{},'cutoff',{}).
% 'region' - region and size of the mask are provided.
% data_i is struct('region',{},'size_mask',{}).
% 'boundary' - boundary and size of the mask are provided.
% data_i is struct('boundary',{},'size_mask',{}).
% data_i - struct; contains input data for the type of ROI.
%
% Outputs --------------------------------------------------------%
% None
%
% Returns error if type is wrong.
if (~strcmp(type_i,'load') && ~strcmp(type_i,'draw') && ~strcmp(type_i,'region') && ~strcmp(type_i,'boundary'))
error('Incorrect type provided.');
end
if (strcmp(type_i,'load') || strcmp(type_i,'draw'))
% This is the "load" and "draw" types, which mean a
% mask for the ROI is provided directly.
% Get mask - mask is directly provided for 'load' and 'draw'
mask_prelim = data_i.mask;
% Create region(s) - these are 4-way connected/contiguous
[region_prelim,removed] = ncorr_alg_formregions(mask_prelim,int32(data_i.cutoff),false);
% Get 20 largest contiguous regions. This is to prevent
% boundary routine from running very slowly if there are a
% bunch of small regions
cutoff_regions = 20;
[val_sorted,idx_sorted] = sort([region_prelim.totalpoints],'descend'); %#ok<ASGLU>
idx_sorted = idx_sorted-1; % Convert to zero based
if (length(idx_sorted) > cutoff_regions)
region_prelim = region_prelim(idx_sorted(1:cutoff_regions)+1);
removed = true;
end
% Update mask if regions were removed
if (removed)
mask_prelim(:) = false;
for i = 0:length(region_prelim)-1
for j = 0:size(region_prelim(i+1).noderange,1)-1
x = j + region_prelim(i+1).leftbound;
for k = 0:2:region_prelim(i+1).noderange(j+1)-1
vec_y = region_prelim(i+1).nodelist(j+1,k+1):region_prelim(i+1).nodelist(j+1,k+2);
mask_prelim(vec_y+1,x+1) = true;
end
end
end
end
% Now get the boundaries - Do the "add boundaries"
% first. One per region.
boundary_prelim = struct('add',cell(length(region_prelim),1),'sub',cell(length(region_prelim),1));
for i = 0:length(region_prelim)-1
% Get mask corresponding to region - must do this
% because boundary tracing algorithm is 8-way
% connected, but the region is 4-way connected. I
% used the 8-way connected boundary because it is
% smoother. Note that if two 4-way connected
% regions are just touching at corners they are
% technically considered 8-way connected, which is
% why each 4-way region must be analyzed separately.
regionmask_buffer = false(size(mask_prelim));
for j = 0:size(region_prelim(i+1).noderange,1)-1
x = j + region_prelim(i+1).leftbound;
for k = 0:2:region_prelim(i+1).noderange(j+1)-1
vec_y = region_prelim(i+1).nodelist(j+1,k+1):region_prelim(i+1).nodelist(j+1,k+2);
regionmask_buffer(vec_y+1,x+1) = true;
end
end
% Get add boundary:
% Use the top of the left most point in the region.
% Send this coordinate and the regionmask_buffer
% corresponding to this region to determine the
% boundary
boundary_buffer = ncorr_alg_formboundary(int32([region_prelim(i+1).leftbound region_prelim(i+1).nodelist(1,1)]),int32(0),regionmask_buffer);
% Append boundary
boundary_prelim(i+1).add = boundary_buffer;
% Get inverse of regionmask_buffer, and then do logical
% "and" with the filled in outer boundary. This
% leaves only internal regions
regionmask_inv_buffer = false(size(mask_prelim));
% Get filled-in outter boundary - note that this
% does not fill the boundary exactly since the
% algorithm uses double precision points to
% estimate the boundary.
ncorr_alg_formmask(struct('pos_imroi',boundary_prelim(i+1).add,'type','poly','addorsub','add'),regionmask_inv_buffer);
regionmask_inv_buffer = regionmask_inv_buffer & ~regionmask_buffer;
% Form mask_boundary - this keeps track of the sub
% boundaries already analyzed so we dont count one
% twice.
mask_boundary = false(size(mask_prelim)); % Make a copy to keep track of which points have been used to analyze the boundary
% Get sub boundaries:
boundary_prelim(i+1).sub = cell(0);
for j = 0:size(region_prelim(i+1).noderange,1)-1
x = j + region_prelim(i+1).leftbound;
% Make sure noderange is greater than 2, or
% else this portion doesnt have a hole
if (region_prelim(i+1).noderange(j+1) > 2)
for k = 0:2:region_prelim(i+1).noderange(j+1)-3 % Dont test last node pair
% Only use bottom nodes - only test
% bottom nodes since these are the
% first points adjacent to a hole
y_bottom = region_prelim(i+1).nodelist(j+1,k+2);
% Test one pixel below bottom node. Make
% sure this pixel hasnt already been analyzed,
% and is also within the inverse regionmask
% buffer
if (regionmask_inv_buffer(y_bottom+2,x+1) && ~mask_boundary(y_bottom+2,x+1))
% This is a boundary point which
% hasn't been analyzed yet
boundary_prelim(i+1).sub{end+1} = ncorr_alg_formboundary(int32([x y_bottom+1]),int32(0),regionmask_inv_buffer);
% update mask_boundary
mask_boundary(sub2ind(size(mask_boundary),boundary_prelim(i+1).sub{end}(:,2)+1,boundary_prelim(i+1).sub{end}(:,1)+1)) = true;
end
end
end
end
end
elseif (strcmp(type_i,'region'))
% This is the 'region' option; regions are supplied
% directly. It's possible that analysis yielded regions
% directly (like unioning).
% Form mask
mask_prelim = false(data_i.size_mask);
% Form region
region_prelim = data_i.region;
% Update mask from region:
for i = 0:length(region_prelim)-1
for j = 0:size(region_prelim(i+1).noderange,1)-1
x = j + region_prelim(i+1).leftbound;
for k = 0:2:region_prelim(i+1).noderange(j+1)-1
vec_y = region_prelim(i+1).nodelist(j+1,k+1):region_prelim(i+1).nodelist(j+1,k+2);
mask_prelim(vec_y+1,x+1) = true;
end
end
end
% For the custom case, do not form a real boundary, since
% regions may not longer be contigous. Do form one boundary
% per region though.
for i = 0:length(region_prelim)-1
boundary_prelim(i+1).add = [-1 -1]; %#ok<AGROW>
boundary_prelim(i+1).sub = {}; %#ok<AGROW>
end
elseif (strcmp(type_i,'boundary'))
% This is the 'boundary' option; a boundary is supplied
% directly. This allows Ncorr to update the mask based
% on displacement values at the boundary point. Note
% there will be one region per "add" boundary, this
% preserves the correspondences between a region and
% boundary.
% Form mask
mask_prelim = false(data_i.size_mask);
% Form boundary
boundary_prelim = data_i.boundary;
% Fill a region for each boundary -> Get the region
% corresponding to that mask -> append all
% regions.
% Set drawobjects which are sent to ncorr_alg_formmask
region_prelim = struct('nodelist',{},'noderange',{},'leftbound',{},'rightbound',{},'upperbound',{},'lowerbound',{},'totalpoints',{});
for i = 0:length(boundary_prelim)-1
% Initialize counter and draw objects
drawobjects = struct('pos_imroi',{},'type',{},'addorsub',{});
counter = 0;
drawobjects(counter+1).pos_imroi = boundary_prelim(i+1).add;
drawobjects(counter+1).type = 'poly';
drawobjects(counter+1).addorsub = 'add';
counter = counter+1;
for j = 0:length(boundary_prelim(i+1).sub)-1
drawobjects(counter+1).pos_imroi = boundary_prelim(i+1).sub{j+1};
drawobjects(counter+1).type = 'poly';
drawobjects(counter+1).addorsub = 'sub';
counter = counter+1;
end
% Get mask corresponding to this boundary
ncorr_alg_formmask(drawobjects,mask_prelim);
% Get region
[region_buffer,removed] = ncorr_alg_formregions(mask_prelim,int32(0),false); %#ok<ASGLU>
% There must be one region per boundary to preserve
% their correspondence. It's possible for the region
% for a boundary to "pinch" or form more than one.
if (isempty(region_buffer))
% Form an empty ROI list if region_buffer is
% empty - this keeps the correspondence between
% the boundary and region
region_buffer = struct('nodelist',[-1 -1],'noderange',0,'leftbound',0,'rightbound',0,'upperbound',0,'lowerbound',0,'totalpoints',0);
elseif (length(region_buffer) > 1)
% Select biggest ROI if there are more than
% one. This could possibly happen if a boundary
% is "pinched" or closes. Unlikely- but may
% happen.
idx_max = find([region_buffer.totalpoints] == max([region_buffer.totalpoints]),1,'first');
region_buffer = region_buffer(idx_max);
end
% Merge
region_prelim(i+1) = region_buffer;
end
% Update mask from region:
for i = 0:length(region_prelim)-1
for j = 0:size(region_prelim(i+1).noderange,1)-1
x = j + region_prelim(i+1).leftbound;
for k = 0:2:region_prelim(i+1).noderange(j+1)-1
vec_y = region_prelim(i+1).nodelist(j+1,k+1):region_prelim(i+1).nodelist(j+1,k+2);
mask_prelim(vec_y+1,x+1) = true;
end
end
end
end
% Set properties
obj.type = type_i;
obj.mask = mask_prelim;
obj.region = region_prelim;
obj.boundary = boundary_prelim;
obj.data = data_i;
end
function roi_reduced = reduce(obj,spacing)
% This function reduces the ROI. Its possible some regions will
% be deleted after the reduction; a placeholder is still used to
% preserve the number of regions.
%
% Inputs ---------------------------------------------------------%
% spacing - integer; spacing parameter
%
% Outputs --------------------------------------------------------%
% roi_reduced - ncorr_class_roi; reduced ROI
%
% Returns error if ROI has not been set yet.
if (isempty(obj.type))
error('ROI has not been set yet');
end
% Initialize output
roi_reduced = ncorr_class_roi.empty;
if (spacing == 0)
% Don't do anything, the ROI is not actually being reduced.
% Just make a deep copy of this ROI and return;
roi_reduced(1) = ncorr_class_roi;
p = properties(obj);
for i = 0:length(p)-1
roi_reduced.(p{i+1}) = obj.(p{i+1});
end
else
% Form reduced region and its template
region_reduced = struct('nodelist',{},'noderange',{},'leftbound',{},'rightbound',{},'upperbound',{},'lowerbound',{},'totalpoints',{});
region_reduced_template = struct('nodelist',{},'noderange',{},'leftbound',{},'rightbound',{},'upperbound',{},'lowerbound',{},'totalpoints',{});
for i = 0:length(obj.region)-1
% Find new bounds - left and right bounds are the
% upper limit.
region_reduced_template(1).leftbound = ceil(obj.region(i+1).leftbound/(spacing+1));
region_reduced_template.rightbound = floor(obj.region(i+1).rightbound/(spacing+1));
region_reduced_template.upperbound = inf; % Initialize to infinitely high so it can updated
region_reduced_template.lowerbound = -inf; % Initialize to infinitely low so it can updated
% Initialize nodelist, noderange, and totalpoints
region_reduced_template.nodelist = -ones(max(1,region_reduced_template.rightbound-region_reduced_template.leftbound+1),size(obj.region(i+1).nodelist,2));
region_reduced_template.noderange = zeros(max(1,region_reduced_template.rightbound-region_reduced_template.leftbound+1),1);
region_reduced_template.totalpoints = 0;
% Scan columns - calculate nodelist, noderange,
% and totalpoints
for j = region_reduced_template.leftbound*(spacing+1)-obj.region(i+1).leftbound:spacing+1:region_reduced_template.rightbound*(spacing+1)-obj.region(i+1).leftbound
% This is the column which lies on the grid;
% Form the reduced nodelist and noderange for
% this column
x_reduced = (j-(region_reduced_template.leftbound*(spacing+1)-obj.region(i+1).leftbound))/(spacing+1);
for k = 0:2:obj.region(i+1).noderange(j+1)-1
% Find upper and lower bounds for each node pair -
% it is possible that entire node pair is skipped
% over by the spacing
node_top_reduced = ceil(obj.region(i+1).nodelist(j+1,k+1)/(spacing+1));
node_bottom_reduced = floor(obj.region(i+1).nodelist(j+1,k+2)/(spacing+1));
if (node_bottom_reduced >= node_top_reduced)
% Add this node pair
region_reduced_template.nodelist(x_reduced+1,region_reduced_template.noderange(x_reduced+1)+1) = node_top_reduced;
region_reduced_template.nodelist(x_reduced+1,region_reduced_template.noderange(x_reduced+1)+2) = node_bottom_reduced;
% Update node range
region_reduced_template.noderange(x_reduced+1) = region_reduced_template.noderange((j-(region_reduced_template.leftbound*(spacing+1)-obj.region(i+1).leftbound))/(spacing+1)+1)+2;
% Update totalpoints
region_reduced_template.totalpoints = region_reduced_template.totalpoints + (node_bottom_reduced-node_top_reduced+1);
% Update upper and lower bounds
if (node_top_reduced < region_reduced_template.upperbound)
region_reduced_template.upperbound = node_top_reduced;
end
if (node_bottom_reduced > region_reduced_template.lowerbound)
region_reduced_template.lowerbound = node_bottom_reduced;
end
end
end
end
% See if region is empty - if so use a placeholder.
if (region_reduced_template.totalpoints == 0)
region_reduced_template.nodelist = [-1 -1];
region_reduced_template.noderange = 0;
region_reduced_template.leftbound = 0;
region_reduced_template.rightbound = 0;
region_reduced_template.upperbound = 0;
region_reduced_template.lowerbound = 0;
end
% Insert template into reduced region
region_reduced(i+1) = region_reduced_template;
end
% Create new ROI
roi_reduced(1) = ncorr_class_roi;
roi_reduced.set_roi('region',struct('region',region_reduced,'size_mask',size(obj.mask(1:spacing+1:end,1:spacing+1:end))));
end
end
function roi_union = get_union(obj,mask_i,spacing)
% This function returns the union of the current ROI and the
% inputted mask (which may be reduced).
%
% Inputs ---------------------------------------------------------%
% mask_i - logical array; mask used to union
% spacing - integer; indicates how much mask_i has been reduced.
%
% Outputs --------------------------------------------------------%
% roi_union - ncorr_class_roi; union of this ROI with mask_i.
%
% Returns error if ROI has not been set yet or if the sizes dont
% match.
if (isempty(obj.type))
error('ROI has not been set yet');
elseif (~isequal(size(obj.mask(1:spacing+1:end,1:spacing+1:end)),size(mask_i)))
error('Reduced mask and input mask are not the same size');
end
% Initialize output
roi_union = ncorr_class_roi;
% Get reduced ROI
roi_reduced = obj.reduce(spacing);
% Get unioned mask
mask_union = obj.mask(1:spacing+1:end,1:spacing+1:end) & mask_i;
% Get unioned region, this will not necessarily be contiguous anymore
region_union = ncorr_alg_formunion(roi_reduced.formatted(),mask_union);
% Create new ROI
roi_union.set_roi('region',struct('region',region_union,'size_mask',size(mask_union)));
end
function roi_update = update_roi(obj,plot_u,plot_v,roi_plot,size_mask_update,spacing,radius)
% This function returns an updated ROI, based on the inputted
% displacement fields. This works by updating the boundary and
% redrawing the mask. This assumes boundary can be subpixel, so it
% interpolates a new position based on the displacement field.
% Furthermore, displacement fields are reduced by a spacing factor,
% so it's required as an input.
%
% Inputs ---------------------------------------------------------%
% plot_u - double array; u displacement plot
% plot_v - double array; v displacement plot
% roi_plot - ncorr_class_roi; ROI corresponding to displacement
% plots
% size_mask_update - integer array; size of the updated mask. Can
% be a different size than obj.mask if different sized image are
% used
% spacing - integer; spacing parameter
% radius - integer; subset radius
%
% Outputs --------------------------------------------------------%
% roi_update - ncorr_class_roi; updated ROI.
%
% Returns error if ROI has not been set yet.
if (isempty(obj.type))
error('ROI has not been set yet');
end
% Extrapolate displacement plots to improve interpolation near the
% boundary points.
% border_interp is the border added to the displacements when they are
% extrapolated.
border_interp = 20; % MUST BE GREATER THAN OR EQUAL TO 2!!!!
plot_u_interp = ncorr_alg_extrapdata(plot_u,roi_plot.formatted(),int32(border_interp));
plot_v_interp = ncorr_alg_extrapdata(plot_v,roi_plot.formatted(),int32(border_interp));
% Convert displacement plots to B-spline coefficients; these are used
% for interpolation. Make sure to do this for each region.
for i = 0:length(roi_plot.region)-1
plot_u_interp{i+1} = ncorr_class_img.form_bcoef(plot_u_interp{i+1});
plot_v_interp{i+1} = ncorr_class_img.form_bcoef(plot_v_interp{i+1});
end
% Initialize new boundary - preserve the number and
% correspondences of the "add" boundaries, even if a
% boundary is empty
boundary_update = struct('add',{},'sub',{});
for i = 0:length(obj.boundary)-1
boundary_update(i+1).add = interp_border(obj.boundary(i+1).add, ...
plot_u_interp{i+1}, ...
plot_v_interp{i+1}, ...
roi_plot, ...
i, ...
size_mask_update, ...
border_interp, ...
spacing, ...
radius);
for j = 0:length(obj.boundary(i+1).sub)-1
boundary_update(i+1).sub{j+1} = interp_border(obj.boundary(i+1).sub{j+1}, ...
plot_u_interp{i+1}, ...
plot_v_interp{i+1}, ...
roi_plot, ...
i, ...
size_mask_update, ...
border_interp, ...
spacing, ...
radius);
end
end
% Set new ROI - note that size_mask_update must be used
% instead of the size of the current mask. This is because
% different sized current images can be used.
roi_update = ncorr_class_roi;
roi_update.set_roi('boundary',struct('boundary',boundary_update,'size_mask',size_mask_update));
end
function roi_f = formatted(obj)
% This function returns the formatted ROI, which can be inputted to a
% mex function. Mex functions can receive ncorr_class_roi as either
% a class or structure.
%
% Inputs ---------------------------------------------------------%
% none;
%
% Outputs --------------------------------------------------------%
% roi_f - ncorr_class_roi; formatted ROI.
%
% Returns error if ROI has not been set yet.
if (isempty(obj.type))
error('ROI has not been set yet');
end
% Must make deep copy first
roi_f = ncorr_class_roi;
p = properties(obj);
for i = 0:length(p)-1
roi_f.(p{i+1}) = obj.(p{i+1});
end
% Now format properties
for i = 0:length(obj.region)-1
roi_f.region(i+1).nodelist = int32(roi_f.region(i+1).nodelist);
roi_f.region(i+1).noderange = int32(roi_f.region(i+1).noderange);
roi_f.region(i+1).leftbound = int32(roi_f.region(i+1).leftbound);
roi_f.region(i+1).rightbound = int32(roi_f.region(i+1).rightbound);
roi_f.region(i+1).upperbound = int32(roi_f.region(i+1).upperbound);
roi_f.region(i+1).lowerbound = int32(roi_f.region(i+1).lowerbound);
roi_f.region(i+1).totalpoints = int32(roi_f.region(i+1).totalpoints);
end
end
% ----------------------------------------------------------------%
% Get functions --------------------------------------------------%
% ----------------------------------------------------------------%
function [num_region,idx_nodelist] = get_num_region(obj,x,y,list_region)
% This function determines which region x and y lie in, excluding
% the regions indicated by list_region
%
% Inputs ---------------------------------------------------------%
% x - integer; x_coordinate
% y - integer; y_coordinate
% list_region - logical array; indices of regions to search
% if x and y are contained within it. If list_region(i) == true,
% then skip over region(i).
%
% Output ---------------------------------------------------------%
% num_region - integer; index of region that contains x
% and y. Returns -1 if x and y are not within the regions
% specified by region.
% idx_nodelist - integer; index of node pair that contains y
%
% Returns error if ROI has not been set yet.
if (isempty(obj.type))
error('ROI has not been set yet');
end
% Initialize outputs
num_region = -1;
idx_nodelist = 0;
% Initialize withinroi to false
withinroi = false;
for i = 0:length(obj.region)-1
if (list_region(i+1)) % Skip this ROI
continue;
else
if (x >= obj.region(i+1).leftbound && x <= obj.region(i+1).rightbound) % Check to make sure x coordinate is within bounds
idx_region = x-obj.region(i+1).leftbound;
for j = 0:2:obj.region(i+1).noderange(idx_region+1)-1 % Check to see if point is within node pairs
if (y >= obj.region(i+1).nodelist(idx_region+1,j+1) && y <= obj.region(i+1).nodelist(idx_region+1,j+2))
withinroi = true;
idx_nodelist = j;
num_region = i;
break;
end
end
end
if (withinroi)
break;
end
end
end
end
function regionmask = get_regionmask(obj,num_region)
% This function returns a mask corresponding only to the region
% indicated by num_region.
%
% Inputs ---------------------------------------------------------%
% num_region - integer; number of region to use to form mask.
%
% Outputs --------------------------------------------------------%
% regionmask - logical array; mask corresponding to num_region
%
% Returns error if ROI has not been set yet.
if (isempty(obj.type))
error('ROI has not been set yet');
end
regionmask = false(size(obj.mask));
for i = 0:size(obj.region(num_region+1).noderange,1)-1
x = i + obj.region(num_region+1).leftbound;
for j = 0:2:obj.region(num_region+1).noderange(i+1)-1
vec_y = obj.region(num_region+1).nodelist(i+1,j+1):obj.region(num_region+1).nodelist(i+1,j+2);
regionmask(vec_y+1,x+1) = true;
end
end
end
function total_fullregions = get_fullregions(obj)
% This function returns the number of regions which are
% nonempty. Generally used to see if ROI is empty or not.
%
% Inputs ---------------------------------------------------------%
% none;
%
% Outputs --------------------------------------------------------%
% total_fullregions - integer; number of nonemtpy regions
%
% Returns error if ROI has not been set yet.
if (isempty(obj.type))
error('ROI has not been set yet');
end
total_fullregions = 0;
for i = 0:length(obj.region)-1
if (obj.region(i+1).totalpoints > 0)
total_fullregions = total_fullregions+1;
end
end
end
function cirroi = get_cirroi(obj,x,y,radius,subsettrunc)
% This function returns a contiguous circular region for the subset
% located at x and y.
%
% Inputs ---------------------------------------------------------%
% x - integer; x_coordinate of subset
% y - integer; y_coordinate of subset
% radius - integer; radius of subset
% subsettrunc - logical; indicates whether to enable subset
% truncation or not
%
% Outputs --------------------------------------------------------%
% cirroi - circular subset; this is the circular subset
% corresponding to the points specified at x and y. Contains
% struct('mask',{},'region',{},'boundary',{},'x',{},'y',{},'radius',{})
%
% Returns error if ROI has not been set yet or if x and y are not
% within the ROI. Note that the boundary field in cirroi is
% currently not being used.
% Find idx_nodelist and num_region
[num_region,idx_nodelist] = obj.get_num_region(x,y,false(size(obj.region)));
if (isempty(obj.type))
error('ROI has not been set yet');
elseif (num_region == -1)
error('x and y coordinates are not within the ROI');
end
% Initialize cirroi structure
cirroi = struct('mask',{},'region',{},'boundary',{},'x',{},'y',{},'radius',{});
cirroi_template = struct('mask',{},'region',{},'boundary',{},'x',{},'y',{},'radius',{});
% Store x,y, and radius
cirroi_template(1).mask = false(2*radius+1);
cirroi_template.region = struct('nodelist',{},'noderange',{},'leftbound',{},'rightbound',{},'upperbound',{},'lowerbound',{},'totalpoints',{});
cirroi_template.boundary = [];
cirroi_template.x = x;
cirroi_template.y = y;
cirroi_template.radius = radius;
% Find max_nodewidth_buffer - this is the maximum width
% of the nodelist.
max_nodewidth_buffer = 0;
for i = 0:length(obj.region)-1
if (size(obj.region(i+1).nodelist,2) > max_nodewidth_buffer)
max_nodewidth_buffer = size(obj.region(i+1).nodelist,2);
end
end
% Initialize cirroi nodelist and noderange
cirroi_template.region(1).nodelist = -ones(cirroi_template.radius*2+1,max_nodewidth_buffer);
cirroi_template.region.noderange = zeros(cirroi_template.radius*2+1,1);
% Initialize totalpoints
cirroi_template.region.totalpoints = 0;
% Now find circle nodes
% Fill must be contiguous and begins at the centerpoint
queue_nodelist = -ones(size(cirroi_template.region.nodelist,1)*size(cirroi_template.region.nodelist,2),1); % Initialize to max size to prevent resizing
queue_nodeindex = zeros(size(cirroi_template.region.nodelist,1)*size(cirroi_template.region.nodelist,2)/2,1); % Index of nodepair with respect to cirroi;
length_queue = 0; %#ok<NASGU> % length of the queue_nodelist
queue_nodelist_buffer = -ones(1,2);
queue_nodeindex_buffer = 0; %#ok<NASGU>
% Initialize parameter which indicates whether the subset
% has been truncated
circ_untrunc = true;
% Node pair which contains the center point is added to queue first; this
% guarantees the circular region is contiguous WRT the centerpoint
if (obj.region(num_region+1).nodelist(cirroi_template.x-obj.region(num_region+1).leftbound+1,idx_nodelist+1) < cirroi_template.y-cirroi_template.radius) % make sure top node is within the circle
node_top = cirroi_template.y-cirroi_template.radius;
else
node_top = obj.region(num_region+1).nodelist(cirroi_template.x-obj.region(num_region+1).leftbound+1,idx_nodelist+1);
circ_untrunc = false;
end
if (obj.region(num_region+1).nodelist(cirroi_template.x-obj.region(num_region+1).leftbound+1,idx_nodelist+2) > cirroi_template.y+cirroi_template.radius) % make sure bottom node is within the circle
node_bottom = cirroi_template.y+cirroi_template.radius;
else
node_bottom = obj.region(num_region+1).nodelist(cirroi_template.x-obj.region(num_region+1).leftbound+1,idx_nodelist+2);
circ_untrunc = false;
end
% Update mask
cirroi_template.mask(node_top-(cirroi_template.y-cirroi_template.radius)+1:node_bottom-(cirroi_template.y-cirroi_template.radius)+1,cirroi_template.radius+1) = true;
% Update queue
queue_nodelist(1:2) = [node_top node_bottom];
queue_nodeindex(1) = cirroi_template.radius;
length_queue = 2;
% Form activelines and then inactivate nodepair from nodelist
% Activelines keeps track of which node pairs have been
% analyzed
activelines = true(size(obj.region(num_region+1).nodelist,1),size(obj.region(num_region+1).nodelist,2)/2);
activelines((cirroi_template.x-obj.region(num_region+1).leftbound)+1,idx_nodelist/2+1) = false;
% Enter while loop. Exit when queue is empty
while (length_queue ~= 0)
% STEPS:
% 1) Load nodepair from queue
% 2) Update queue
% 3) Add nodepair to cirroi, sort, and then update
% 4) Compare nodepair to nodepairs left and right and add nodes to queue
% 5) Update totalpoints
% Step 1) Pop queue
queue_nodelist_buffer(1:2) = queue_nodelist(length_queue-1:length_queue);
queue_nodeindex_buffer = queue_nodeindex(length_queue/2);
% Step 2)
length_queue = length_queue-2;
% Step 3)
if (cirroi_template.region.noderange(queue_nodeindex_buffer+1) == 0)
% Just place directly
cirroi_template.region.nodelist(queue_nodeindex_buffer+1,1:2) = queue_nodelist_buffer(1:2);
else
% Merge nodes
inserted = false;
for i = 0:2:cirroi_template.region.noderange(queue_nodeindex_buffer+1)-1
if (queue_nodelist_buffer(2) < cirroi_template.region.nodelist(queue_nodeindex_buffer+1,i+1))
nodelist_buffer = cirroi_template.region.nodelist(queue_nodeindex_buffer+1,i+1:cirroi_template.region.noderange(queue_nodeindex_buffer+1));
cirroi_template.region.nodelist(queue_nodeindex_buffer+1,i+1:i+2) = queue_nodelist_buffer;
cirroi_template.region.nodelist(queue_nodeindex_buffer+1,i+3:cirroi_template.region.noderange(queue_nodeindex_buffer+1)+2) = nodelist_buffer;
inserted = true;
break
end
end
if (~inserted)
% Append at the end
cirroi_template.region.nodelist(queue_nodeindex_buffer+1,cirroi_template.region.noderange(queue_nodeindex_buffer+1)+1:cirroi_template.region.noderange(queue_nodeindex_buffer+1)+2) = queue_nodelist_buffer;
end
end
cirroi_template.region.noderange(queue_nodeindex_buffer+1) = cirroi_template.region.noderange(queue_nodeindex_buffer+1)+2;
% Step 4)
idx_froi = queue_nodeindex_buffer+(cirroi_template.x-cirroi_template.radius)-obj.region(num_region+1).leftbound;
% Compare to node pairs LEFT
if (queue_nodeindex_buffer > 0 && idx_froi > 0) % makes sure previous node is within cirroi
for i = 0:2:obj.region(num_region+1).noderange(idx_froi)-1
if (activelines(idx_froi,i/2+1) == 0) % Nodes are inactive
continue
end
upperlim = ceil(-sqrt(cirroi_template.radius^2-(((queue_nodeindex_buffer-1)+(cirroi_template.x-cirroi_template.radius))-cirroi_template.x)^2)+cirroi_template.y);
lowerlim = floor(sqrt(cirroi_template.radius^2-(((queue_nodeindex_buffer-1)+(cirroi_template.x-cirroi_template.radius))-cirroi_template.x)^2)+cirroi_template.y);
if (obj.region(num_region+1).nodelist(idx_froi,i+2) < queue_nodelist_buffer(1)) % lower node comes before upper node of buffer
continue;
elseif (obj.region(num_region+1).nodelist(idx_froi,i+1) <= queue_nodelist_buffer(2) && obj.region(num_region+1).nodelist(idx_froi,i+2) >= queue_nodelist_buffer(1)) % nodes interact
if (obj.region(num_region+1).nodelist(idx_froi,i+1) < upperlim) % make sure upper node is within the circle
node_top = upperlim;
else
node_top = obj.region(num_region+1).nodelist(idx_froi,i+1);
circ_untrunc = false;
end
if (obj.region(num_region+1).nodelist(idx_froi,i+2) > lowerlim) % make sure lower node is within the circle
node_bottom = lowerlim;
else
node_bottom = obj.region(num_region+1).nodelist(idx_froi,i+2);
circ_untrunc = false;
end
if (node_top > node_bottom || node_top > queue_nodelist_buffer(2) || node_bottom < queue_nodelist_buffer(1)) % This can occur along diagonal boundaries by virtue of how the four way direction contiguous algorithm works. If this happens, break, because it is no longer contiugous
continue;
end
% Add to queue
queue_nodelist(length_queue+1:length_queue+2) = [node_top node_bottom]; % add to queue
queue_nodeindex(length_queue/2+1) = queue_nodeindex_buffer-1;
length_queue = length_queue + 2;
% Make node pair inactive
activelines((idx_froi-1)+1,i/2+1) = false;
% Update mask
cirroi_template.mask(node_top-(cirroi_template.y-cirroi_template.radius)+1:node_bottom-(cirroi_template.y-cirroi_template.radius)+1,queue_nodeindex_buffer) = true;
else
break;
end
end
end
% Compare to node pairs RIGHT
if (queue_nodeindex_buffer < 2*cirroi_template.radius && idx_froi < obj.region(num_region+1).rightbound-obj.region(num_region+1).leftbound) % makes sure next node is within cirroiint
for i = 0:2:obj.region(num_region+1).noderange(idx_froi+2)-1
if (activelines(idx_froi+2,i/2+1) == 0)
continue
end
upperlim = ceil(-sqrt(cirroi_template.radius^2-(((queue_nodeindex_buffer+1)+(cirroi_template.x-cirroi_template.radius))-cirroi_template.x)^2)+cirroi_template.y);
lowerlim = floor(sqrt(cirroi_template.radius^2-(((queue_nodeindex_buffer+1)+(cirroi_template.x-cirroi_template.radius))-cirroi_template.x)^2)+cirroi_template.y);
if (obj.region(num_region+1).nodelist(idx_froi+2,i+2) < queue_nodelist_buffer(1)) % lower node comes before upper node of buffer
continue;
elseif (obj.region(num_region+1).nodelist(idx_froi+2,i+1) <= queue_nodelist_buffer(2) && obj.region(num_region+1).nodelist(idx_froi+2,i+2) >= queue_nodelist_buffer(1)) % nodes interact
if (obj.region(num_region+1).nodelist(idx_froi+2,i+1) < upperlim) % make sure upper node is within the circle
node_top = upperlim;
else
node_top = obj.region(num_region+1).nodelist(idx_froi+2,i+1);
circ_untrunc = false;
end
if (obj.region(num_region+1).nodelist(idx_froi+2,i+2) > lowerlim) % make sure lower node is within the circle
node_bottom = lowerlim;
else
node_bottom = obj.region(num_region+1).nodelist(idx_froi+2,i+2);
circ_untrunc = false;
end
if (node_top > node_bottom || node_top > queue_nodelist_buffer(2) || node_bottom < queue_nodelist_buffer(1)) % This can occur along diagonal boundaries by virtue of how the four way direction contiguous algorithm works. If this happens, break, because it is no longer contiugous
continue;
end
% Add to queue
queue_nodelist(length_queue+1:length_queue+2) = [node_top node_bottom]; % add to queue
queue_nodeindex(length_queue/2+1) = queue_nodeindex_buffer+1; %
length_queue = length_queue + 2;
% Make node pair inactive
activelines((idx_froi+1)+1,i/2+1) = false;
% Update mask
cirroi_template.mask(node_top-(cirroi_template.y-cirroi_template.radius)+1:node_bottom-(cirroi_template.y-cirroi_template.radius)+1,queue_nodeindex_buffer+2) = true;
else
break;
end
end
end
% Update totalpoints
cirroi_template.region.totalpoints = cirroi_template.region.totalpoints + (queue_nodelist_buffer(2)-queue_nodelist_buffer(1)+1);
end
% Set Bounds - since noderange length is always
% 2*radius+1, set left and right bounds to:
cirroi_template.region.leftbound = cirroi_template.x - cirroi_template.radius;
cirroi_template.region.rightbound = cirroi_template.x + cirroi_template.radius;
% Find upper and lower bounds:
cirroi_template.region.upperbound = size(obj.mask,1);
cirroi_template.region.lowerbound = 0;
for i = 0:size(cirroi_template.region.noderange,1)-1 % Find max and min x-values of cirroi
if (cirroi_template.region.noderange(i+1) > 0)
if (cirroi_template.region.upperbound > cirroi_template.region.nodelist(i+1,1))
cirroi_template.region.upperbound = cirroi_template.region.nodelist(i+1,1);
end
if (cirroi_template.region.lowerbound < cirroi_template.region.nodelist(i+1,cirroi_template.region.noderange(i+1)))
cirroi_template.region.lowerbound = cirroi_template.region.nodelist(i+1,cirroi_template.region.noderange(i+1));
end
end
end
% If subset is truncated, do some special analysis to construct
% the cirroi. At this point, it's only contiguous. I've added
% this portion to truncate a part of the subset if this option
% is enabled. This is helpful for analyzing cracks so the subset
% does not wrap around the crack tip. Also make sure to check
% if any of the noderanges are zero, as this will not trigger a
% truncation.
if (subsettrunc && (~circ_untrunc || any(cirroi_template.region.noderange == 0)))
% Get boundary
point_topleft = [-1 -1]; % Initialize
for i = 0:size(cirroi_template.mask,2)-1
for j = 0:size(cirroi_template.mask,1)-1
if (cirroi_template.mask(j+1,i+1))
point_topleft = [i j]; % This is the first point.
break;
end
end
if (cirroi_template.mask(j+1,i+1))
break;
end
end
boundary_cirroi = ncorr_alg_formboundary(int32(point_topleft),int32(7),cirroi_template.mask);
% Find closest point -> Find line equation -> Find
% number of points to the left and right of the
% line; the side with the least amount of points
% will be discarded
dists = (boundary_cirroi(:,1)-cirroi_template.radius).^2 + (boundary_cirroi(:,2)-cirroi_template.radius).^2;
[val_min,idx_min] = min(dists);
idx_min = idx_min-1; % Zero based indexing
% Make sure closest point is not on the boundary,
% which can happen since the boundary isnt
% perfectly circular
if (ceil(sqrt(val_min)) < cirroi_template.radius)
% Nonlinear solver
idx_space = 3;
idx_plus = mod(idx_min+idx_space,size(boundary_cirroi,1));
idx_minus = mod(idx_min-idx_space,size(boundary_cirroi,1));
% Initialize points to calculate derivatives with
x_plus_f = 0;
x_min_f = 0;
x_minus_f = 0;
y_plus_f = 0;
y_min_f = 0;
y_minus_f = 0;
% Set filt length
length_filt = 2;
for i = -length_filt:length_filt
x_plus_f = x_plus_f + boundary_cirroi(mod(idx_plus+i,size(boundary_cirroi,1))+1,1);
x_min_f = x_min_f + boundary_cirroi(mod(idx_min+i,size(boundary_cirroi,1))+1,1);
x_minus_f = x_minus_f + boundary_cirroi(mod(idx_minus+i,size(boundary_cirroi,1))+1,1);
y_plus_f = y_plus_f + boundary_cirroi(mod(idx_plus+i,size(boundary_cirroi,1))+1,2);
y_min_f = y_min_f + boundary_cirroi(mod(idx_min+i,size(boundary_cirroi,1))+1,2);
y_minus_f = y_minus_f + boundary_cirroi(mod(idx_minus+i,size(boundary_cirroi,1))+1,2);
end
% Divide by length
x_plus_f = x_plus_f/(2*length_filt+1);
x_min_f = x_min_f/(2*length_filt+1);
x_minus_f = x_minus_f/(2*length_filt+1);
y_plus_f = y_plus_f/(2*length_filt+1);
y_min_f = y_min_f/(2*length_filt+1);
y_minus_f = y_minus_f/(2*length_filt+1);
% Get derivatives
dx_di_f = (x_plus_f - x_minus_f)/(2*idx_space);
d2x_di2_f = (x_plus_f-2*x_min_f+x_minus_f)/(idx_space^2);
dy_di_f = (y_plus_f - y_minus_f)/(2*idx_space);
d2y_di2_f = (y_plus_f-2*y_min_f+y_minus_f)/(idx_space^2);
% Do one iteration to find change in index
deltai = ((-x_min_f*dx_di_f+cirroi_template.radius*dx_di_f) + (-y_min_f*dy_di_f+cirroi_template.radius*dy_di_f))/((dx_di_f^2+x_min_f*d2x_di2_f-cirroi_template.radius*d2x_di2_f)+(dy_di_f^2+y_min_f*d2y_di2_f-cirroi_template.radius*d2y_di2_f));
% Test deltai, make sure its between subsequent spacings; If
% not then set the points minus and plus points
if (abs(deltai) < idx_space)
% Calculate two points based on dx_di_i and dy_di_i
x_i = x_min_f + dx_di_f*deltai + (1/2)*d2x_di2_f*deltai^2;
y_i = y_min_f + dy_di_f*deltai + (1/2)*d2y_di2_f*deltai^2;
dx_di_i = dx_di_f + d2x_di2_f*deltai;
dy_di_i = dy_di_f + d2y_di2_f*deltai;
% Set stepsize - the magnitude doesnt matter
stepsize = 0.5;
% Get points
p0 = [x_i-dx_di_i*stepsize y_i-dy_di_i*stepsize];
p1 = [x_i+dx_di_i*stepsize y_i+dy_di_i*stepsize];
else
% Set points to averaged points on either side
p0 = [x_minus_f y_minus_f];
p1 = [x_plus_f y_plus_f];
end
% Find which side to clear: p_subset is a point defined
% to be part of the subset, so the side opposite of
% p_subset needs to be cleared. If the center of the
% subset does not lie on boundary, then find displacement
% from closest point to p0. Add this displacement to
% the center, and then determine which side the center
% is on.
p_subset = [0 0]; % Initialize
if (isequal(boundary_cirroi(idx_min+1,:),[cirroi_template.radius cirroi_template.radius]))
% Center is the closest point. Find valid points
% around the boundary and get the centroid of
% these points.
width_win = 1; % This determines window of points collected
counter = 0; % Counts number of points added so a proper average can be taken
for i = -width_win:width_win
x_mask = boundary_cirroi(idx_min+1,1)+i;
for j = -width_win:width_win
y_mask = boundary_cirroi(idx_min+1,2)+j;
% Make sure points are within mask and
% that the mask is valid here.
if (x_mask >= 0 && x_mask <= 2*cirroi_template.radius && y_mask >= 0 && y_mask <= 2*cirroi_template.radius && ...
cirroi_template.mask(y_mask+1,x_mask+1))
p_subset = p_subset + [x_mask y_mask];