Skip to main content

All Questions

0 votes
1 answer
36 views

Precisely defining the overlap depth, or deepest point of overlap, for ellipsoids and spheroids

I was wondering if there is a robust mathematical definition for the 'deepest point of overlap' of ellipsoid (or, equally as good, spheroid) 1 that has overlapped with ellipsoid 2. For non-overlapping ...
JPA Physics's user avatar
1 vote
1 answer
237 views

Is there a way to find the intersection of two rectangles given their current velocity and position in constant time?

Suppose I have two rectangles, let's define them as $R_1$ and $R_2$, which each contain a length and width. Given the headings $\theta_1$ and $\theta_2$ respectively, as well as the coordinates $x_1, ...
nwatx's user avatar
  • 11
1 vote
0 answers
22 views

Determining valid input to this function

I've written an algorithm, the details of which I think are irrelevant here, which accomplishes the following task: Suppose we're given three observers in a 2-dimensional plane (such that the three ...
10GeV's user avatar
  • 1,381
1 vote
1 answer
32 views

Is my modification to this solution valid?

I have the following problem: I know the center points and radii of three circles. I want to slowly increase each circle's radius until all three circles intersect. They are guaranteed to intersect at ...
10GeV's user avatar
  • 1,381
0 votes
1 answer
199 views

Finding the overlap between direction of distance in position space and direction of distance in velocity space

There are two objects A and B that can be described in position space and velocity space. The position space describes the instantaneous positions of the objects while the velocity space describes ...
Anders Gustafson's user avatar
2 votes
0 answers
387 views

Bending of track in a racing game

I am trying to create a small racing game in which the track would be modeled using a BSpline curve for the path's center line and directional vectors to define the 'bending' of the track at each ...
caius's user avatar
  • 21