A mathematical concept that can be used to express position, direction or velocity and which can simplify or outright trivialise spatial problems.

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14
votes
5answers
716 views

Can I simplify the inequality “distance(p1, p2) < distance(p1, p3)?”

I am working on some vector logic, so am asking: can I save processor time by simplifying this inequality: distance(vector1, vector2) < distance(vector1, vector3) I see that vector1 is repeated ...
0
votes
0answers
28 views

Move object forward based on it's direction(1D rotation) [duplicate]

I have 2D game where I want my object to move forward based on it's direction. This is what I've tried: position.x+=Math.Cos(rotation)*speed; position.y+=Math.Sin(rotation)*speed; However this ...
2
votes
1answer
239 views

How to correctly represent a bone system?

I'm currently representing my bone system as follows, in pseudocode: root = {} root.rot = v3(0,0,0) root.pos = v3(0,0,0) function create_child(parent,rot,length): child_bone = {} ...
0
votes
0answers
234 views

Space Strategy Ship Movement Math

This is similar to a question I asked a while ago, but I phrased it so terribly so might as well start over. I am trying to implement ship movement in 3D space, but confined to a 2D plane at y=0 (see ...
0
votes
2answers
305 views

How do I calculate speed given two xy vectors?

I have some code that returns the x and y linear velocities of a moving space ship. How can I combine these to give me total speed? x = self.player._box2dBody.GetLinearVelocity().x; y = ...
1
vote
1answer
224 views

How to simulate acceleration and then deceleration?

Currently I am only using deceleration. Here is how I do it I need to cover Vector(x,y) unit distance to reach B from A. I simply do - rendering loop-> position = A + Vector(x,y).scale(factor); ...
0
votes
1answer
106 views

2D vector to Quaternion

I have a 2D vector (with only X and Y), and my engine only supports orientation through Quaternions. How do I translate a 2D vector to a quaternion? The X and Y represent the direction (so X = 0 ...
0
votes
2answers
165 views

Finding vectors with two points

We're are trying to get the direction of a projectile but we can't find out how For example: [1,1] will go SE [1,-1] will go NE [-1,-1] will go NW and [-1,1] will go SW we need an equation of ...
-2
votes
1answer
93 views

2D Vector Compass Direction [duplicate]

Relating to this question; What's the best way of translating a 2D vector into the closest 8-way compass direction? My query is if this would work in the following order(below) and if so, how ...
5
votes
1answer
147 views

Vector Math question

Suppose I have two game object located at two Vector3s v1 and v2, respectively. If I wanted to locate a position between v1 ad v2, but 3 units away from v2, how would I manage that in terms of ...
1
vote
1answer
249 views

Calculating projectile velocity from moving object

I'm working on a top down space shooter and am having trouble with calculating/understanding the physics for projectiles launched from the space ship. The ships have a velocity vector and a turret ...
1
vote
1answer
189 views

When to use an Array vs When to use a Vector, when dealing with GameObjects?

I understand that from other answers, Arrays and Vectors are the best choices. Many on SE claim that Linked Lists and Maps are bad for video game programming. I understand that for the most part, I ...
0
votes
1answer
214 views

Sharp DX Identity Matrix, Matrix.Forward vector pointing at negative Z

I'm trying to take a steady grip on Sharp DX. Already done some work like translating, scaling and rotating objects. Now i have to calculate the rotation matrix using only direction vector and ...
2
votes
0answers
198 views

Quaternion to direction vector - flipping

I've kinda solved this myself by adapting the Camera::setDirection code from OGRE to work for my need: Now I have the following code: Vector3 boneDir = getBoneWorldOrientation(mEntity, mHips) * ...
10
votes
4answers
958 views

How does normal mapping really work?

I'm trying to grasp the concept of normal mapping, but I'm confused by a few things. In short, I'm not sure whether a normal map is viewpoint dependent or not (i.e. whether you'll get a different ...
1
vote
2answers
725 views

Libgdx: Am I abusing Vector2? Is there a better way to do my position updates and rendering?

I'm simulating hair in a game. Currently I have a HairField object, which has a position defined by a Vector2. Each HairField has multiple Hair objects in a list, each with a position defined by a ...
-1
votes
2answers
129 views

JavaScript “Floats”, or ThreeJS wrong positioning? [closed]

I want to learn how to use Vectors with 3D. Here is a strange Error I have encountered today. Instead of stopping exactly on the other Cube, I get this: When I change the IF to (cube.position.y ...
14
votes
1answer
3k views

Determine arc-length of a Catmull-Rom spline

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. ...
0
votes
1answer
88 views

Rotating sprites

I'm a beginner at making games, i'm currently only working in 2D using XNA. So far all of my games i've been using the following logic for sprite movement: if(left key pressed) sprite_x_position ...
3
votes
4answers
815 views

Is it better to track rotation with a vector or a float?

In XNA, you can see that to draw a rotated sprite with SpriteBatch, you'll need a float describing the angle in radians. I'm used to making games in OpenGL. I just want a rapid prototyping ...
3
votes
4answers
2k views

How to smoothly rotate a vector in a direction?

I'm looking for an easy way to achieve the following: Object A, B { Vector2D position; Vector2D orientation; } update(elapsed) { //rotate A's orientation in B's direction by x * elapsed ...
-1
votes
1answer
115 views

Optimization of Storage of Spells a Character Knows

I need to store which spells a character knows. While the game is executing I have them stored in a vector. Obviously storing this many values is either going to take a lot of computing to get the ...
8
votes
3answers
578 views

Collision detection problems using AABB's

I implemented a simple collision detection routine using AABB's between my main game sprite and various platforms (Please see code below). It works great, but I'm now introducing gravity to make my ...
4
votes
5answers
1k views

Implementing vector based movement in a 2d environment

Good evening. I apologize if the title is a bit vague, I really could not come up with anything better. I am currently reading a book called the nature of code and as a side project, I am working on ...
3
votes
6answers
2k views

How to implement object velocity as a vector

I'm working on a Breakout game, and want to change the ball's movement code from how I currently do it, to something based on vectors (as I feel learning and implementing movement based on vectors ...
3
votes
2answers
167 views

What kind of projection is ScreenX=X/Z, ScreenY=Y/Z?

I have an existing class which transforms 3D vectors and projects them on a 2D plane (Camera). The code is all written in C without help from an external library. To project a single vector (X,Y,Z) ...
0
votes
2answers
345 views

Asteroids Movement

I have been making an asteroids clone, in C#. However, the ship's movement is... not quite right. My plan is this: there is a speed, and two directions, namely the direction the ship is facing ...
0
votes
3answers
154 views

Keeping raycast on the same level

I want my raycast to end at certain height(red line). But as the game is 3D and the camera rotates I can't use a fixed magnitude. What I thought was a stroke of genius, I figured I'd project the ...
2
votes
1answer
159 views

front and back face detection

I am trying to implement a dynamic shadow system for a 2d game using this tutorial : ...
4
votes
3answers
960 views

Tetris - Rotations using Linear Algebra (Rotation Matrices)

I'm making Tetris in Java and am at the point of rotations... Originally I was hardcoding each rotation: if (direction.equals("right")) { if (shape.equals("Bar")) { if ...
4
votes
2answers
245 views

Getting an angle in degrees from north

This may have been asked already, but I was unable to find it, because I don't really know what I'm looking for. I drew a picture: I need theta. I've seen various solutions using Vector.Dot, and ...
5
votes
1answer
339 views

Rotating plane to be parallel to given normal via change of basis

I have two planes and their respective normals. I would like to rotate the second plane, planeB, so that it is parallel to the first, planeA. To do this, I am using a change of basis to rotate each ...
2
votes
1answer
506 views

2D Top down acceleration vector

I have been wanting to solve the issue of movement once and for all... with all that I have learnt and read through, should be a piece of cake one would have thought... , seems it isn't. Having ...
24
votes
2answers
2k views

Calculating the rotational force of a 2D sprite

I am wondering if someone has an elegant way of calculating the following scenario. I have an object of (n) number of squares, random shapes, but we will pretend they are all rectangles. We are ...
4
votes
1answer
476 views

Why game engines usually don't offer a vector3.rotate method? [closed]

Game engines like Three.js, Ogre3d and Unity3d often don't provide a default rotate method on their vector class. You usually have to do something like: rotated = vector.applyQuaternion( new ...
9
votes
3answers
4k views

What are normal, tangent and binormal vectors and how are they used?

I would like to find out the following information: What are they? Example usage in game development (the area they are used in) About the following vector types: Normal Tangent Binormal A ...
3
votes
3answers
1k views

Getting correct angles between Vector3s

I'm working on a project where you can draw lines between points. You select one point and drag the mouse onto another point and a line is drawn between them. The line itself is a 3d object which is ...
1
vote
0answers
102 views

Rotate Points with Object in world space

I posted this in the original stack overflow then realized that a game-dev specific one exists. I am working on personal project that requires me to have 4 points surrounding an object (1 at each of ...
2
votes
2answers
347 views

Why does handedness matter at all?

I'm really trying to understand this from a mathematical viewpoint. After all, numbers are numbers, the chirality or handedness depends on how one interprets it. Say I've three basis vectors x (1, 0, ...
0
votes
1answer
174 views

Character movement relative to cursor position

I want my top-down shooter character to move towards the mouse when pressing the up arrow and strafe relative at right angles to it when pressing the left and right arrow keys. I can't figure out how ...
0
votes
1answer
74 views

How to change Vectors due to change in it's dependent Base Vector?

PLOT : I have been developing a game where the player falls down on Y axis and the camera is a Top-Down view camera. The camera, player (main character in the game) movements etc. have all been ...
1
vote
1answer
113 views

Movement constrained to the faces of a cube

The basic setup I'm working with is a cube rendered in-Engine (Panda3d, although I only am looking for a generalized solution) as well as a 2d square on one face of the cube. The eventual outcome I'm ...
2
votes
1answer
365 views

Shooting Bullets Around a Sphere

I currently have a ship that can orbit around a sphere freely controlled by a joystick. There is a separate joystick that controls the gun and starts shooting when it is touched. Right now the ...
0
votes
4answers
210 views

How much to modify yaw? XNA 4.0 [duplicate]

Heres a picture that explains better than my words can For rotating an object I'm using quaternions. CreateFromAxisAngle(vector3.Right,yaw) Maybe this isn't how I should be doing it but I also ...
3
votes
1answer
1k views

Bukkit shoot tnt & help with vectors

I want to shoot a piece of tnt from the players face and then let it explode when it hits the target block. if (cmd.getName().equalsIgnoreCase("cannon")) { ...
8
votes
7answers
1k views

What's the best way of translating a 2D vector into the closest 8-way compass direction?

If you have a 2D vector expressed as x and y, what's a good way of translating that into the closest compass direction? e.g. x:+1, y:+1 => NE x:0, y:+3 => N x:+10, y:-2 => E // closest ...
3
votes
3answers
170 views

Determining a point that reached another point

I have two points, one is moving and one is stationary. I would like to know if the moving point has reached that point or not. I tried to calculate the distance between two vectors and the distance ...
2
votes
3answers
782 views

Oriented Bounding Box - How to?

I've been trying to write my own collision code, less because I want to, more because I want to understand its working. To do this, i've been working off of the popular collision book i'm sure you've ...
9
votes
2answers
6k views

How do I linearly interpolate between two vectors?

I have a velocity vector where my client is at and where its going, and I have the same vector that comes from the server telling where the client should be. Sometimes its a bit different, so I want ...
0
votes
3answers
970 views

Lerp vs Vector math: one better than the other?

In Unity3D (all versions, I believe), there is a static function for the Vector3D class called "lerp". It interpolates a point between two points a point, based off a provided percentage related to ...