boofcv.factory.transform.wavelet

Class FactoryWaveletDaub

java.lang.Object

boofcv.factory.transform.wavelet.FactoryWaveletDaub

public class FactoryWaveletDaub
extends Object

Creates different variety of Daubechie (Daub) wavelets. For Daub-J and Daub J/K wavelets the index number refers to the number of coefficients. These wavelets are often used in image compression.

Citations:
James S. Walker, "A Primer on WAVELETS and Their Scientific Applications," 2nd Ed. 2008

Author:

Peter Abeles

Constructor Summary

Constructors

Constructor and Description
FactoryWaveletDaub()

Method Summary

Methods

Modifier and Type	Method and Description
static WaveletDescription<WlCoef_F32>	biorthogonal_F32(int J, BorderType borderType) Daub J/K biorthogonal wavelets have the following properties: DO NOT conserve the signal's energy If the signal is approximately polynomial of degree (J-1)/2-1 within the support then fluctuations are approximately zero. The sum of the scaling numbers is 1 The sum of the wavelet numbers is 0
static WaveletDescription<WlCoef_I32>	biorthogonal_I32(int J, BorderType borderType) Integer version of biorthogonal_F32(int, boofcv.core.image.border.BorderType).
static WlBorderCoefFixed<WlCoef_I32>	convertToInt(WlBorderCoefFixed<WlCoef_F32> orig, WlCoef_I32 inner)
static WaveletDescription<WlCoef_F32>	daubJ_F32(int J) DaubJ wavelets have the following properties: Conserve the signal's energy If the signal is approximately polynomial of degree J/2-1 or less within the support then fluctuations are approximately zero. The sum of the scaling numbers is sqrt(2) The sum of the wavelet numbers is 0

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

FactoryWaveletDaub

public FactoryWaveletDaub()

Method Detail

daubJ_F32

public static WaveletDescription<WlCoef_F32> daubJ_F32(int J)

DaubJ wavelets have the following properties:

• Conserve the signal's energy
• If the signal is approximately polynomial of degree J/2-1 or less within the support then fluctuations are approximately zero.
• The sum of the scaling numbers is sqrt(2)
• The sum of the wavelet numbers is 0

Parameters:

J - The wavelet's degree.

Returns:

Description of the DaubJ wavelet.

biorthogonal_F32

public static WaveletDescription<WlCoef_F32> biorthogonal_F32(int J,
                                              BorderType borderType)

Daub J/K biorthogonal wavelets have the following properties:

• DO NOT conserve the signal's energy
• If the signal is approximately polynomial of degree (J-1)/2-1 within the support then fluctuations are approximately zero.
• The sum of the scaling numbers is 1
• The sum of the wavelet numbers is 0

Parameters:

J - The wavelet's degree. K = J-2.

borderType - How image borders are handled.

Returns:

Description of the Daub J/K wavelet.

biorthogonal_I32

public static WaveletDescription<WlCoef_I32> biorthogonal_I32(int J,
                                              BorderType borderType)

Integer version of biorthogonal_F32(int, boofcv.core.image.border.BorderType).

Parameters:

J - The wavelet's degree. K = J-2.

borderType - How image borders are handled.

Returns:

Description of the Daub J/K wavelet.

convertToInt

public static WlBorderCoefFixed<WlCoef_I32> convertToInt(WlBorderCoefFixed<WlCoef_F32> orig,
                                         WlCoef_I32 inner)