In fact they are the same: replace \(O\) with \(b\) and \(D\) with \(m\). This equation is very similar to the equation of a line. By changing \(t\) in this equation, we can define any point on the line defined by the ray's position and direction. Where \(O\) is the origin of the ray, \(D\) its direction and the parameter \(t\) can be any real value (negative, positive or zero). If this 1D line is parallel to the x-axis as shown in figure 1 (with the line whose equation is y=2), then \(m\) is equal to 0.
In mathematics, the \(m\) term is called the slope (or gradient) and is actually responsible for the orientation of the line and \(b\) corresponds to the point where the line intersects the y-axis. All we need is to remember that a straight line can be defined as: Boxes which are not oriented along the axis of a cartesian coordinate system are called oriented bounding box (OBB).Ĭomputing the intersection of a ray with an AABB is quite simple. Such a box is called an axis-aligned box or an axis-aligned bounding box (AABB). In the following example, we will assume that the box is aligned with the axes of our Cartesian coordinate system.
For the oblique line which equation is y=x-1 we have m=1 and b=-1. The equation of a line can be written as y=mx+b. The more donation we get the more content you will get and the quicker we will be able to deliver it to you.įigure 1: equation of a line. Donations go directly back into the development of the project. (on Discord) to help us improve the website.Īnd you can also donate).
#X ray box mod full#
Also looking for at least one experienced full dev stack dev that would be willing to give us a hand with the next design.įeel free to send us your requests, suggestions, etc. If you are interested please get in touch on Discord, in the #scratchapixel3-0 channel. We are looking for native Engxish (yes we know there's a typo here) speakers that will be willing to readproof a few lessons. That's what we are busy with right now and why there won't be a lot of updates in the weeks to come. Then when we publish the site we will translate the Markdown files to HTML. You will also be able to contribute by translating pages to different languages if you want to. In practice, that means you and the rest of the community will be able to edit the content of the pages if you want to contribute (typos and bug fixes, rewording sentences). The idea is to make the project open source by storing the content of the website on GitHub as Markdown files. News (August, 31): We are working on Scratchapixel 3.0 at the moment (current version of 2).
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