fields

Type Members

1. class StickTensor extends libcog.Complex

   

   A stick tensor in 2 dimensions, encoded as a complex number.

   A stick tensor in 2 dimensions, encoded as a complex number.

   Because orientation extends only from 0 to Pi while phase of a complex number extends from 0 to 2 Pi, we *define* orientation to be half the phase of the complex number. This means when creating the stick tensor from a given orientation and magnitude, the orientation must be doubled.

   returns

   A stick tensor, represented as a complex number.

2. class StickTensorField extends AnyRef

   

   A 2D field of stick tensors.

   A 2D field of stick tensors.

   Each tensor requires only 2 components, so this is implemented with a complex field. This uses the Scala "Enriched" pattern, much like RichStrings, to automatically convert back and forth between complex fields and stick tensor fields.

3. class SymmetricTensor extends cogx.Vector

   

   A symmetric, positive semidefinite, order-2 tensor in 2 dimensions.

   A symmetric, positive semidefinite, order-2 tensor in 2 dimensions. See the paper "An efficient method for tensor voting using steerable filters," Franken et al, 2006, for a description.

   This is implemented as a vector for efficiency because the matrix representation is redundant. The matrix form of a symmetric tensor:

   Axx    Axy
   
   Axy    Ayy

   is represented as a length 3 vector:

   Axx
   
   Axy
   
   Ayy

4. class SymmetricTensorField extends AnyRef

   

   A 2D field of positive, semidefinite, symmetric tensors.

   A 2D field of positive, semidefinite, symmetric tensors.

   Each tensor requires only 3 components, so this is implemented with a vector field. This uses the Scala "Enriched" pattern, much like RichStrings, to automatically convert back and forth between vector fields and symmetric tensor fields.

5. trait XYToRowColumn extends AnyRef

   

   Converts local (x, y) coordinates to (row, column) coordinates.