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# applyPolynomial(coefficientSegments:boundaries:destination:)

Applies a set of piecewise polynomials to a 2-channel, 32-bit interleaved buffer and writes the result to a 2-channel, 8-bit interleaved buffer.

```
func applyPolynomial(coefficientSegments: [[Float]], boundaries: [Float], destination: vImage.PixelBuffer<vImage.Interleaved8x2>)
```

## Parameters

`coefficientSegments`

An array that contains the polynomial coefficient array. Each polynomial must be of the same order.

`boundaries`

An array of boundary values, in increasing order, that separates adjacent ranges of pixel values. `boundaries` must contain `coefficientSegments.count + 1` elements.

`destination`

The destination pixel buffer.

## Discussion

The following code shows an example of applying three polynomials to a [`vImage.InterleavedFx2`](/documentation/Accelerate/vImage/InterleavedFx2) buffer:

```swift
let src = vImage.PixelBuffer<vImage.InterleavedFx2>(
    pixelValues: [0.25, 0.5, 0.75, 1.0],
    size: vImage.Size(width: 2, height: 1))

let dest = vImage.PixelBuffer<vImage.Interleaved8x2>(
    size: src.size)

let factor = Float(255)
src.applyPolynomial(coefficientSegments: [ [1 * factor, 0, 0],
                                           [0, 1 * factor, 0],
                                           [0, 0, 1 * factor] ],
                    boundaries: [0, 1/3, 2/3, 1] as [Float],
                    destination: dest)

// Prints:
//  255     ≅ factor * 0.25⁰

//  127     ≅ factor * 0.5¹

//  143     ≅ factor * 0.75²
//  255     ≅ factor * 1.0²
print(dest.array)
```

## See Also

  <doc://com.apple.accelerate/documentation/Accelerate/applying-tone-curve-adjustments-to-images>



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