# Transform - Tiles: Special

The Special template appears in the template list when a raster tile field, of type Tile, has been picked in the Transform pane.  The template computes Bessel functions, with specification of Order.

 Special Bessel function operations, with specification of Order. Order may be taken from a field, or specified by a value or by an expression.  Save the result into the specified Result destination using the specified numeric type.   Bessel 1st kind (jn) - The nth Bessel function of the first kind: Compute  the Bessel function Jn(x) for Order n using pixel values in the source channel as x.  Specifying 2 for Order uses a J2(x) Bessel function.  Using 0 or 1 for the Order is equivalent to using J0(x) or J1(x), respectively. Bessel 2nd kind (yn) - The nth Bessel function of the second kind: Compute the Bessel Function Yn(x) for Order n using pixel values in the source channel as x.  Specifying 2 for Order uses a Y2(x) Bessel function.  Using 0 or 1 for the Order is equivalent to using Y0(x) or Y1(x), respectively.   Launch the template by choosing a Tile field and then double-clicking the Special template.  When the template launches we can specify options. Special : Bessel 1st kind (jn) The nth Bessel function of the first kind: Compute  the Bessel function Jn(x) for Order n using pixel values in the source channel as x.  For example, specifying 2 for Order uses a J2(x) Bessel function.   Order = 0: Compute the Bessel function J0(x) Order = 1: Compute the Bessel function J1(x) Order = n: Compute the Bessel function Jn(x) Special : Bessel 2nd kind (yn) The nth Bessel function of the second kind: Compute  the  the Bessel Function Yn(x) for Order n using pixel values in the source channel as x.  For example, specifying 2 for Order uses a Y2(x) Bessel function.   Order = 0: Compute the Bessel Function Y0(x) Order = 1: Compute the Bessel Function Y1(x) Order = n: Compute the Bessel Function Yn(x)

## Notes

Everything Math - For a handy reference to anything in mathematics, see the Wolfram MathWorld site.   Thank you, Wolfram!

Transform Pane

Transform Reference

Transform - Tiles