**comp.graphics.algorithms**

## Subject: **Re: is a point 'inside' a bezier?**

On 2 May 2006 18:36:57 -0700, daniel.w.gelder@gmail.com wrote:

>Some of this is a bit over my head...can you elaborate? What are ! and

>?

As I said, n?k is a binomial coefficient, the number of distinct

collections of k items chosen from n items. The exclamation point,

"!", denotes the factorial function:

n! = n*(n-1)*(n-2)*...*3*2*1

The notation det M denotes the determinant of a matrix. For a 2x2

matrix,

[a b]

det [c d] = a*d - b*c

For a 3x3 matrix,

[a b c] [e f] [d f] [d e]

det [d e f] = a * det [h i] - b * det [g i] + c * det [g h]

[g h i]

= a*e*i + b*f*g + c*d*h - c*e*g - b*d*i - a*f*h

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