intersects entities
intersection axis
axis_line
axis_vol
intersection axis(dx,dy) poi(x,y) line(x1,y1, x2,y2, ...)
Returns (xi1,yi1, xi2,yi2, ...) = intersections of axis origin (x,y,z)
and direction (dx,dy) with the 2D (x1,y1, x2,y2, ...) and NIL if no intersection.
Options:
close: ferme la line.
intersection axis(dx,dy,dz) poi(x,y,z) vol(id)
Returns (xi,yi,zi) = first intersection point of axis origin
(x,y,z) and direction (dx,dy,dz) with volume id.
and NIL if no intersection.
Options:
normal: returns (xi,yi,zi,nx,ny,nz) with (xi,yi,zi) = first intersection point
and (nx,ny,nz) = normal to the facette intersected.
intersection cut
intersection cut(x,y,z,nx,ny,nz) vol(id)
Returns the intersections of volume id with the plane from (x,y,z)
and normal to (nx,ny,nz).
intersection line
intersection line(x1,y1,x2,y2,...)
Returns (xi,yi,ki,...) coordinates (xi,yi) of the intersection points of the
2D polygonal line (x1,y1,x2,y2,...) with itself and the coefficients ki, otherwise returns NIL.
Options:
close: closes the line.
intersection normal
intersection normal poi(p)line(p1,p2)
if (p1==p2)
Returns p1
else
Returns the projection of point p on the line (p1,p2).
intersection normal poi(p)line(p1,p2,p3)
if (p1==p2) or if the three points are aligned
Returns p1
else
Returns the projection of point p on the plane by (p1,p2,p3).
intersection poi
intersection poi(p1,p2)poi(p3,p4,p5)
Returns I,k,s with:
I = intersection line (p1,p2) with the plane (p3,p4,p5)
s=1if p1 and p1
br>
k=p1+k*(p2-p1)
Returns NIL if (p1p2) parallel (p3,p4,p5)
intersection poi(a)normal(na)poi(b)normal(b)
Returns I,v = intersection planes (a,na) (b,nb) defined by a point and a normal vector.
intersection segment
intersection segment(x1,y1,x2,y2, x3,y3,x4,y4)
Returns the coordinates (x,y) of the intersection point of the two segments (x1,y1, x2,y2)
and (x3,y3, x4,y4), returns NIL if they are parallel.
intersection segment(x1,y1,z1, x2,y2,z2)vol(id)
Returns the coordinates (x,y,z) of intersection point between the 3D segment (x1,y1,z1, x2,y2,z2)
with volume id, and NIL if no intersection.
intersection vol
DEVELOPING
intersection vol(id)line(L)
cuts facets volume id by 3D line L (more than 2 points).
intersection vol(id)line(L) axis(dx,dy,dz)
cuts facets volume id by 3D line L (more than 2 points).
projected on volume id in the direction (dx,dy,dz)
intersection vol(id)line(L) axis(dx,dy,dz) normal
Intersects only facets whose angle (normal,(dx,dy,dz)) is lesser than PI/2.
intersection vol(id)line(L) axis(dx,dy,dz) radius(r)
Intersects only facets whose distance to CG(L) is lesser than r.
intersection vol(id)line(L) axis(dx,dy,dz) adjust(L2)
Forces the detected contour to be on line L2 (ou L si L2 est absent)