Archive for the ‘ Mathematics ’ Category

Random Point In a Triangle – Barycentric Coordinates

A real quick lesson on Barycentric Coordinates.  No diagrams right now.  Maybe I’ll come back later and elaborate.  I’m really going to gloss over the details here – just explain how to accomplish the task in a straightforward manner. So, you want to find the coordinates of a random point in space that exists on [ READ MORE ]

Cross Products

I won’t get into much detail here other than to talk about a few example of why you would want to calculate vector cross products and briefly explain what they are. Wikipedia has a great entry on them which will explain all the math behind them. Given two vectors, for instance, two sides of a [ READ MORE ]

Area of a triangle in 3D space

It can be very helpful to know how to calculate the area of triangles in 3D space. You can use it to calculate the surface area of an object, which in turn you can use to calculate/set mass or density of objects.  Primarily, I use area to create distribution attributes for particle emission, such that [ READ MORE ]

Distance or Magnitude of Vectors

I’ll briefly explain vectors here.  Plenty of information out there on the web, and they are quite easy to understand.  Basically, a vector in computer graphics is an array of three numbers [X,Y,Z] that carry a direction and a magnitude.  The magnitude can mean a few different things, depending on context.  For instance, the magnitude [ READ MORE ]

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