How to make Rounded Edges of rectangle corners with polyshape function ?

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Smithy on 19 Dec 2022

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Commented: Smithy on 20 Dec 2022

Accepted Answer: DGM

hello, everybody

I would like to make the rounded rectangle and I would like them to translated and rotated.

First I tried with rectangle function using 'Curvature' of 1. then I can make the rounded rectangle.

However, it is not possible for them to translated and rotated.

Therefore, I made the rectangle with polyshape function. and it is okay for them to translated and rotated.

However, i do not know how I can make them to have rounded edges.

Could you please helpe me how to make them to rounded edges with polyshape function?

clear; close all; clc;

figure(1); hold on; axis equal

% Before translating and rotating

rectangle('Position',[-14.1276, 226.1976, 6.5929, 9.4184],'FaceColor','r','Curvature',1)

% After translating and rotating

% translate and rotate polygon

x = [-14.1276; -14.1276+6.5929; -14.1276+6.5929; -14.1276];

y = [226.1976; 226.1976; 226.1976+9.4184; 226.1976+9.4184];

p = [x,y];

pgon = polyshape(p);

pgon = translate(pgon,50,-75);

pgon = rotate(pgon,18,[57, 349]);

plot(pgon,'FaceColor','red','FaceAlpha',1)

% object by rectangle function can not translated and rotated.

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Answer 1

DGM on 19 Dec 2022

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https://se.mathworks.com/matlabcentral/answers/1881122-how-to-make-rounded-edges-of-rectangle-corners-with-polyshape-function#answer_1131672

I'm pretty sure you can use hgtransform() on rectangle() objects.

hg = hgtransform;

rectangle('parent',hg,'position',[0 0 10 20],'curvature',1);

hg.Matrix = makehgtform('zrotate',pi/6);

axis equal

Alternatively, the following can be used to generate a vertex list that corresponds to the input syntax supported by rectangle(). You can use the vertex data to generate a patch or other type object if you don't want to deal with a rectangle() object.

pos = [0 0 10 20]; % [x y w h]

cur = [1 1]*0.25; % curvature

npts = 20;

npts = round(npts/4)*4 + 1;

th = linspace(0,2*pi,npts);

thm = reshape(th(2:end),[],4);

thm = [th(1) thm(end,1:3); thm];

rr = pos(3:4)/2;

er = cur.*rr;

x = er(1)*cos(thm) + pos(1) + rr(1) + (rr(1)-er(1))*[1 -1 -1 1];

y = er(2)*sin(thm) + pos(2) + rr(2) + (rr(2)-er(2))*[1 1 -1 -1];

x = [x(:); x(1)];