In this section we discus how to analyze grain boundary by intersecting them with certain lines. Lets start by importing some EBSD data and computing grain boundaries.
% load some example data
mtexdata twins silent
% detect grains
[grains,ebsd.grainId,ebsd.mis2mean] = calcGrains(ebsd('indexed'));
% smooth them
grains = grains.smooth;
% visualize the grains
plot(grains,grains.meanOrientation)
% extract all grain boundaries
gB = grains.boundary;
hold on
plot(gB,'LineWidth',2)
hold off
Let start by defining some line by its endpoints and plot in on top of the boundary plot
xy1 = [10,10]; % staring point
xy2 = [41,41]; % end point
line([xy1(1);xy2(1)],[xy1(2);xy2(2)],'linestyle',':','linewidth',4,'color','white')
The command intersect computes the intersections of all boundary segments with the given line
[x,y] = grains.boundary.intersect(xy1,xy2);
hold on
scatter(x,y,'blue','linewidth',2)
hold off
% find the number of intersection points
sum(~isnan(x))ans =
27