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OpenScad Polygon utilities. Includes smooth_corners and truncate_corners modules.
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function normalize(v) = norm(v)==0 ? 0 : v/norm(v); | |
function wrap(i,l) = ((i%l)+l)%l; | |
function lerp(start, end, bias) = (end * bias + start * (1 - bias)); | |
function truncate_corners(points,size) = [ | |
for(i=[0:len(points)-1]) | |
for(j=[-1,1]) points[i]+size*normalize(points[wrap(i+j,len(points))]-points[i]) | |
]; | |
function n_lerp(start, end, bias)= | |
normalize(lerp(start, end, bias)); | |
function n_lerp_origin(p1,p2,p,size)= | |
(p+1.41*size*normalize((p1-p)/2+(p2-p)/2)); | |
function n_lerp_corner(p1,p2,p,size,t)= | |
size*n_lerp( | |
p1-n_lerp_origin(p1,p2,p,size), | |
p2-n_lerp_origin(p1,p2,p,size), | |
t | |
)+n_lerp_origin(p1,p2,p,size) ; | |
function move_towards(from,to,distance)= | |
from+(distance*normalize(to-from)); | |
function smooth_corners(points,size,steps=10) = [ | |
for(i=[0:len(points)-1]) | |
for(j=[0:1/steps:1]) | |
n_lerp_corner( | |
move_towards(points[i],points[wrap(i-1,len(points))],size), | |
move_towards(points[i],points[wrap(i+1,len(points))],size), | |
points[i], | |
size, | |
j | |
) | |
]; | |
module round_rect(width,length,corner_size){ | |
points = [ | |
[width,0], | |
[width,length], | |
[0,length], | |
[0,0] | |
]; | |
polygon( smooth_corners(points,corner_size)); | |
} | |
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I got the idea of using a normalised magnitude lerp ( nLerp ) rather than slerp from this article.
https://keithmaggio.wordpress.com/2011/02/15/math-magician-lerp-slerp-and-nlerp/