Release the previously defined surface named s1.
Remove all references from the geometry data structures and remove all
constraints associated with this surface.
xmax,ymax,zmax are the coordinates
of opposite corners of a cube, i.e bottom left and top right corners.
Where point 1 is the vertex and
point 2 is the top center of the cone with radius from that point. A cone
is finite but open. To create a closed cone cap the open end with a plane.
Where point 1 is the bottom center
and point 2 is the top center of the cylinder. radius is the radius of
the cylinder. Cylinders are open but finite. To create a closed cylinder
cap both ends with planes.
Where point 1 is the center of the
ellipsoid and point 2 is on the a semi-axis (new x), point 3 is on the
b semi-axis (new y), and ar, br, cr are radii on their respective semi-axes.
Where points 1, 2, 3 are the front
left, front right and back left points of the base and point 4 is the upper
left point of the front face.
the direction of the normal to the
plane is determined by the order of the points according to the right hand
Sheet surfaces may be input by specifying
The Mesh Object must be either a 2D quad Mesh Object or a 2D triangle Mesh
Object. A discussion of inside and outside with respect to sheet surfaces
is presented after the EXAMPLES section.
Where point 1 and point 2 define
the axis of rotation for the tabular profile with point 1 as the origin.
This is followed by pairs of profile descriptors depending on the value
is set to rz, then the
r value is a radius normal to the axis of rotation and z is the distance
along the new axis of rotation. If geomis
set to rt then
is the angle from the axis of
rotation at point 1 andris
the distance from point 1 along theta.
first pair must start on a new line and all lines must contain pairs of
data. The last pair of data must be followed by end.
respect to sheet surfaces will be determined by the following algorithm:
the point being considered, p, find the nearest sheet triangle and the
closest point, q, to p that lies on that triangle.
the vector, from q to p.
the outward normal to the triangle, .
The outward normal is constructed using the right hand rule and the order
of the points in the sheet. Sheets may be specified as quad Mesh Object
(i.e. a 2 dimensional array of points containing the coordinates of the
corners of each quad). Either two triangles (divide each quad in two using
point (i,j) and (i+1,j+1)) or four triangles (add a point in the center
of the quad) are generated by each quad. Applying the right hand rule to
the points (i,j), (i+1,j), (i+1,j+1) gives the direction of the normal
for all triangles created from the quad.
* If * <
0 then the point is inside. If * >0
the point is outside. If *
n = 0, and if p is on the triangle then p=q and p in on the triangle.
* If *
= 0 and p is not on the triangle then p is outside.
One implication of this definition
is that the concept of shadows cast by open sheets no longer is valid.
Sheets may be considered to extend to the boundary of the geometry.