All Questions
Tagged with splines mathematics
13 questions
0
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3
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Simulate Velocity For A Projectile Moving Along A Spline
I'm using Unity's latest Splines package(v2.5) to move a projectile across a spline with speed. It works perfectly and the projectile moves across the spline to it's target with linear speed.
But I'd ...
- 314
1
vote
1
answer
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What are spline input keys?
There isn't a really adequate explanation of these anywhere on the internet, so I thought I'd ask this question here.
What are spline input keys in Unreal?
How are they represented in Unreal?
Also:
...
- 699
2
votes
2
answers
4k
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Parametric form of a cubic function
After researching about curves in computer graphics (splines in my case), I have come across something I did not know: Explicit functions like: \$y=x^2+2\$ are not the best way to interpolate between ...
- 1,095
2
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3
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1k
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Why aren't regular quadratic and cubic splines used much in games?
After investigating a bit about splines and reading a bunch of docs, I have noticed regular quadratic and cubic splines are not used very much in games.
Splines using quadratic/cubic Bézier curves, ...
- 1,095
5
votes
1
answer
3k
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How do splines work?
I've been beginning to work with different kinds of splines (e.g. Bezier, Hermite, B-splines) in some of my work with computer graphics and I am trying to get a grasp of how they work (mathematically ...
- 241
2
votes
1
answer
266
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Determine if AI can traverse a given spline
I have some AI Agents that I want to navigate along a spline. The agents have a speed and a maximum turning radius. For some splines the curvature is too tight for the AI agents to navigate around and ...
- 525
9
votes
1
answer
5k
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How can I find the tangent and normal at an interpolated point on a Catmull-Rom/Hermite spline?
I have an implementation of a simple Catmull-Rom spline. It works, but I'm trying my hardest to be able to place vertices at extrusions along the curve. For this I need the normal (and tangent in the ...
- 1,255
10
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2
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How do I avoid interpolation artefacts when scaling up a heightmap?
I am using a bicubic interpolation algorithm in order to upscale a height map, and I am noticing some artifacts around the pixels boundaries. However, these artifacts don't seem to appear when I use a ...
- 141
-1
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1
answer
329
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Animating values using splines
I'm trying to create a system similar to Blender's f-curves or Unity's animation curves (google it, I'm not allowed to post more than two links yet). It's basically a 2D spline where time is on the X-...
- 161
1
vote
2
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1k
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Find the nearest control points either side of a Catmull Rom spline segment
There is a formula for evaluating a Catmull Rom spline segment at time 't' found here.
The problem with this is that it requires finding the two control points either side of the segment to evaluate.
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- 674
1
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1
answer
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Interpolation between two 3D points?
I'm working with some splines which define a path a character follows (you can see a gameplay video here to get a better understanding of what's going on: http://www.youtube.com/watch?v=BndobjOiZ6g). ...
- 1,480
21
votes
1
answer
10k
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Determine arc-length of a Catmull-Rom spline to move at a constant speed
I have a path that is defined by a concatenation of Catmull-Rom splines. I use the static method Vector2.CatmullRom in XNA that allows for interpolation between points with a value going from 0 to 1.
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- 281
12
votes
3
answers
4k
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What are the most common splines you will find in game development?
List here the most common splines found in game development, how many points the method needs to interpolate a curve, and how can you build a data type that allows you to get an interpolation of the ...