incidence geometry Flashcards
What is the explicit form for a line doing?
generating points
What is the implicit form for a line doing
incidence checking. (checking if a point is on the line)
explicit line representation
implicit line representation
explicit plane representation
implicit plane representation
explicit sphere representation
implicit sphere representation
How can i compute an intersection with an explicit and an implicit form?
insert explicit form into inplicit form.
How can i compute an intersection with two explicit forms?
set the two form equal
line plane intersection
at the line plane intersections, what is if n^T * d = 0
It means that either the line is inside the plane or parallel to the plane.
line sphere intersection
alternative line sphere intersection
line triangle intersection
check if a point p is insid a triangle with barycentric coordinates?
better line triangle intersection
line line intersection
build an LSE with d_0^T * v and d_1^T * v and solve for s and t
plane plane intersection
plane plane plane intersection
What is a half space?
when is a point in the halfspace?
how to calculate if a point is in halfspace in d-dimensional spaces?
