Biorthogonal

Struct Biorthogonal 

pub struct Biorthogonal { /* private fields */ }
Expand description

Biorthogonal wavelet family

Biorthogonal wavelets use different filters for decomposition and reconstruction, allowing for symmetric filters (linear phase) while maintaining perfect reconstruction. This is particularly useful in image processing applications.

§Supported Wavelets:

  • CDF 5/3 (Cohen-Daubechies-Feauveau): Used in lossless JPEG2000
  • CDF 9/7: Used in lossy JPEG2000
  • Bior 1.3: Biorthogonal with 3 decomposition and 1 reconstruction vanishing moments
  • Bior 1.5: Biorthogonal with 5 decomposition and 1 reconstruction vanishing moments
  • Bior 2.2: Biorthogonal with 2 decomposition and 2 reconstruction vanishing moments
  • Bior 2.4: Biorthogonal with 4 decomposition and 2 reconstruction vanishing moments
  • Bior 2.6: Biorthogonal with 6 decomposition and 2 reconstruction vanishing moments
  • Bior 2.8: Biorthogonal with 8 decomposition and 2 reconstruction vanishing moments
  • Bior 3.1: Biorthogonal with 1 decomposition and 3 reconstruction vanishing moments
  • Bior 3.3: Biorthogonal with 3 decomposition and 3 reconstruction vanishing moments
  • Bior 3.5: Biorthogonal with 5 decomposition and 3 reconstruction vanishing moments
  • Bior 3.7: Biorthogonal with 7 decomposition and 3 reconstruction vanishing moments
  • Bior 3.9: Biorthogonal with 9 decomposition and 3 reconstruction vanishing moments
  • Bior 4.4: Biorthogonal with 4 decomposition and 4 reconstruction vanishing moments
  • Bior 5.5: Biorthogonal with 5 decomposition and 5 reconstruction vanishing moments
  • Bior 6.8: Biorthogonal with 8 decomposition and 6 reconstruction vanishing moments

Implementations§

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impl Biorthogonal

pub fn new(wavelet_type: BiorthogonalType) -> Self

Create a new biorthogonal wavelet of the specified type

pub fn wavelet_type(&self) -> BiorthogonalType

Get the wavelet type

pub fn cdf_53() -> Self

CDF 5/3 (Le Gall 5/3) wavelet - actually bior2.2 in PyWavelets Used in lossless image compression (JPEG2000)

pub fn cdf_97() -> Self

CDF 9/7 wavelet - used in lossy JPEG2000 Excellent compression performance for images

Trait Implementations§

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impl Clone for Biorthogonal

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fn clone(&self) -> Biorthogonal

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for Biorthogonal

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl Wavelet for Biorthogonal

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fn as_any(&self) -> &dyn Any

Allow downcasting to concrete types
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fn name(&self) -> &str

Get the name of the wavelet
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fn vanishing_moments(&self) -> usize

Get the number of vanishing moments
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fn support_width(&self) -> usize

Get the support width (filter length)
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fn low_pass_decomposition(&self) -> &[f64]

Get the low-pass decomposition filter coefficients
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fn high_pass_decomposition(&self) -> &[f64]

Get the high-pass decomposition filter coefficients
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fn low_pass_reconstruction(&self) -> &[f64]

Get the low-pass reconstruction filter coefficients
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fn high_pass_reconstruction(&self) -> &[f64]

Get the high-pass reconstruction filter coefficients
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fn is_orthogonal(&self) -> bool

Check if the wavelet is orthogonal
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fn is_biorthogonal(&self) -> bool

Check if the wavelet is biorthogonal

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impl<T> Any for T
where T: 'static + ?Sized,

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Immutably borrows from an owned value. Read more
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fn borrow_mut(&mut self) -> &mut T

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impl<T> CloneToUninit for T
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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
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fn from(t: T) -> T

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Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
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type Output = T

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Checks if self is actually part of its subset T (and can be converted to it).
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