Solid Modeling

Regularized set Operations
• The interior of the solid is geometrically closed by its
boundaries
A ∪*B
A
B
A −*B
A ∩*
B = ϕ
A
Set Membership Classification
• The process by which various parts of a candidate set X
(points, lines or solids) are assigned to (is tested) with a
reference set iS, bS or cS is called set membership
classification.
M [ X , S]
= ( X in S,
X on S,
X out S)
• X – the candidate set
• S – reference set
1
2
3
4
S
Input
Arguments
6
5
Line
Segment
1
2
3
4
5
6
Test Result
L out S
L in S
L out S
L in S
L on S
L out S
18