# elliotwoods/ofxRay

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ofxRay

# Introduction

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

# Objects

## ofRay

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

## ofPlane

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.

## ofProjector

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.

## ofGeometric

All objects within ofxRay inherit from ofGeometric.

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