Object

toolkit.filtering

PeriodicFFT

Related Doc: package filtering

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object PeriodicFFT extends libcog.Logarithm with FloatMath

Implements Moisan's periodic FFT. This is modeled on Peter Kovesi's Matlab implementation of the algorithm. See the paper "Periodic plus Smooth Image Decomposition," Journal of Mathematical Imaging and Vision, vol 39:2, pp. 161-179, 2011.

The input is an image that is suitable for the FFT (number of rows and columns are powers of 2). The output is the FFT of the "periodic" component of the input image with border effects suppressed.

NOTE: This could be sped up by writing a GPU kernel for computeBoundaryImage.

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FloatMath, Logarithm, AnyRef, Any
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  2. FloatMath
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  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  4. val Pi: Float

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    Definition Classes
    FloatMath

  5. def acos(x: Float): Float

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    Definition Classes
    FloatMath

  6. def apply(image: libcog.ScalarField): (libcog.ComplexField, libcog.ComplexField)

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    Compute the "periodic" FFT of an image.

    Compute the "periodic" FFT of an image. This suppresses border effects with minimal impact on filters.

    image

    The input image to be transformed with the periodic FFT.

    returns

    The transformed image in the frequency domain of the (periodic, smooth) components.

  7. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  8. def asin(x: Float): Float

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    Definition Classes
    FloatMath

  9. def atan(x: Float): Float

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    Definition Classes
    FloatMath

  10. def atan2(x: Float, y: Float): Float

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    Definition Classes
    FloatMath

  11. def cbrt(x: Float): Float

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    Definition Classes
    FloatMath

  12. def ceil(x: Float): Float

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    Definition Classes
    FloatMath

  13. def clone(): AnyRef

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    protected[java.lang]
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    AnyRef
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    @throws( ... )

  14. object computeBoundaryImage extends libcog.Operator

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    Compute the boundary image as part of the task of constructing the smooth component.

    Compute the boundary image as part of the task of constructing the smooth component. This should be made into a GPU kernel for speed.

  15. def cos(x: Float): Float

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    Definition Classes
    FloatMath

  16. def cosh(x: Float): Float

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    Definition Classes
    FloatMath

  17. final def eq(arg0: AnyRef): Boolean

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  18. def equals(arg0: Any): Boolean

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  19. def exp(x: Float): Float

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    FloatMath

  20. def expm1(x: Float): Float

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    FloatMath

  21. def finalize(): Unit

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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )

  22. def floor(x: Float): Float

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  23. final def getClass(): Class[_]

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  24. def hashCode(): Int

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  25. def hypot(x: Float, y: Float): Float

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    FloatMath

  26. final def isInstanceOf[T0]: Boolean

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    Any

  27. def isPowerOf2(value: Float): Boolean

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    Definition Classes
    Logarithm

  28. def log(x: Float): Float

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    Definition Classes
    FloatMath

  29. def log10(x: Float): Float

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    Definition Classes
    FloatMath

  30. def log1p(x: Float): Float

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    Definition Classes
    FloatMath

  31. def log2(value: Float): Float

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    Definition Classes
    Logarithm

  32. final def ne(arg0: AnyRef): Boolean

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    AnyRef

  33. final def notify(): Unit

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    AnyRef

  34. final def notifyAll(): Unit

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  35. def pow(x: Float, y: Float): Float

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    Definition Classes
    FloatMath

  36. def roundDownPowerOf2(value: Float): Int

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    Definition Classes
    Logarithm

  37. def roundUpPowerOf2(value: Float): Int

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    Definition Classes
    Logarithm

  38. def sin(x: Float): Float

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    Definition Classes
    FloatMath

  39. def sinh(x: Float): Float

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    Definition Classes
    FloatMath

  40. def sq(x: Float): Float

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    Definition Classes
    FloatMath

  41. def sqrt(x: Float): Float

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    FloatMath

  42. final def synchronized[T0](arg0: ⇒ T0): T0

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    AnyRef

  43. def tan(x: Float): Float

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    Definition Classes
    FloatMath

  44. def tanh(x: Float): Float

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    Definition Classes
    FloatMath

  45. def toDegrees(x: Float): Float

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    Definition Classes
    FloatMath

  46. def toRadians(x: Float): Float

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    Definition Classes
    FloatMath

  47. def toString(): String

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  48. final def wait(): Unit

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    @throws( ... )

  49. final def wait(arg0: Long, arg1: Int): Unit

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  50. final def wait(arg0: Long): Unit

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Inherited from FloatMath

Inherited from Logarithm

Inherited from AnyRef

Inherited from Any

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