# publicelliotwoods/ofxRay

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# ofxRay

## Introduction

A lightweight set of tools for intersection testings (e.g. does a ray intersect a plane).

## Objects

### ofxRay::Ray

A Ray is defined by the starting point s and the transmission vector t . Check equation (5) at http://mathworld.wolfram.com/Line.html

We define a ray as an infinite line (continuing infinitely forwards and backwards along the line t and - t starting at s .

The line is defined by points s + u * t , where {-inf < u < +inf}.

A Line segment is a line which has finite length. We denote a line segment as a ofRay between s and t where infinite is set to false , i.e. a Line segment is a finite section along a ray

### ofxRay::Plane

A Plane is defined by a position on the plane c and a normal vector n .

We can also define the plane using the notation a x + b y + c z + d = 0 (by using the appropriate constructor).

For a non-infinite plane, we define the bounds of the Plane segment with the 2D vector bounds, and the up vector up. We presume that the up vector and n vectors are perpendicular.

### ofxRay::Projector

A Projector is defined by projection matrix and its pose (defined by ofNode which it inherits from).

We can use a projector to preview a projector or camera in a scene, and to generate pixel _ofRay_s.

### ofxRay::Camera

A Camera is defined the same as a Projector, but has distortion coefficients also.

### ofxRay::Geometric

All objects within ofxRay inherit from ofGeometric.

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