Questions tagged [analytic-geometry]
6 questions
8
votes
2 answers
How to write an algorithm to calculate the occlusion percentage of a sphere by another sphere when viewed from a point?
Language doesn't matter all that much since this is an algorithm problem, but let's say I'm using Python 3.
Imagine there are two spheres in a 3D space. The spheres have a center position [x, y, z] and a radius r. I also have a point in the same…

arda güler
- 93
- 5
2
votes
1 answer
How to calculate intersection over union for more than two bounding boxes?
I have more than two bounding boxes where I want to calculate the intersection over union. I have done it for two bounding boxes but is there a way to accommodate more than two bounding boxes?
I have tried this with two bounding boxes
def…

sam
- 438
- 1
- 4
- 16
1
vote
1 answer
volume of solid bounded by the graph of y = cos(x), the x−axis, and the y− axis over the interval [0, π/4] is revolved about the x-axis
I need to know what formula to use I know how to solve integrals so I don't need the whole thing done but i just need to know how to set it up.
this is what I did:
the integral of 2πx(cosx)dx from 0,π/4
Thanks!

blackdiamondx
- 61
- 1
- 5
0
votes
1 answer
Quadratic Bezier curve arc length
I am trying to calculate the length of a quadratic Bezier curve. Found a solution and a formula to calculate the length of the entire curve in a "closed form" - without having to do numeric methods. The solution is covered at: quadratic Bezier curve…

Igor Shmukler
- 1,742
- 3
- 15
- 48
0
votes
1 answer
Drawing markers on a quadratic curve
I am trying to place evenly-spaced markers/dots on a quadratic curve drawn with HTML Canvas API. Found a nice article explaining how the paths are calculated in the first place, at determining coordinates on canvas curve.
There is a formula, at the…

Igor Shmukler
- 1,742
- 3
- 15
- 48
0
votes
2 answers
Analytic geometry, ordering vertices of triangle to capture shortest and second shortest sides
If I have x and y coordinates for triangle corners A, B, and C, I want to know which of the six orderings of {A, B, C} put the shortest side of the triangle between the first two vertices in the ordering, and the second shortest side between the…

Lori
- 1,392
- 1
- 21
- 29