Derivative Copernicus node

Computes the derivative of the source layer along the x- and y-axis.

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Parameters
Inputs
Outputs

This node computes the derivative of the source layer along the x- and y-axis. This derivative represents the change in pixel values along those axes. For example, this is useful for edge detection.

Parameters ¶

Signature

The layer type that the source accepts.

See Signatures for more information.

Angle

Rotates the position at which the pixels are sampled by this angle. An angle of 90 degrees would mean that the x derivative would be equal to the y derivative of an angle 0.

Scale

Multiplies the output value by this amount.

Offset

Adds this amount to the output value.

Read Pixels outside Image

Determines if derivatives at the boundary should read outside the image or restrict to the image range. Reading outside is useful for building seamless textures with wrap-mode. But restricting to the image range avoids artificial flattening of the derivative at the boundary in clamp modes, as it acts more like an extrapolation.

Kernel Size

Usually a derivative is computed with adjacent pixels, but if the values are slowly varying there may not be enough bit-depth to get smooth derivatives. This will expand the distance (in buffer elements) to compute the derivative, possibly removing stepping artifacts from the derivative.

Inputs ¶

source

The original layer to compute the derivatives from.

Outputs ¶

dCdx

The derivative along the x-axis.

dCdy

The derivative along the y-axis.

Copernicus nodes

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Average

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Blend

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Block Begin

Start of a block, containing its inputs.
Block End

End of a block, declaring its outputs.
Block to Geometry

Compiles a block and produces its geometry representation.
Blur

Applies a blur to a layer.
Bokeh

Creates a Bokeh effect by expanding each pixel by an aperture shape.
Bounding Rectangle

Finds the bounding rectangle of a mask.
Bright

Brightens a layer.
Camera Import

Creates a layer in a camera’s space.
Camera Properties

Adjusts the camera properties of a layer.
Channel Extract

Extracts a channel from a layer.
Channel Join

Combines multiple Mono layers into one multichannel layer.
Channel Split

Divides a layer’s channels into Mono layers.
Channel Swap

Swaps channels within a multichannel layer.
Checkerboard

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Chladni Cymatic Patterns

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Chroma Key

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Chromatic Aberration

Adds chromatic aberration to your image.
Clamp

Clamps an input layer.
Combine Normals

Blends two normal maps together.
Compare

Creates a mask by comparing two layers.
Constant

Initializes pixels to constant values.
Contact Sheet

Arranges input layers into a contact sheet.
Contrast

Applies contrast to a layer.
Convert Normal

Converts normal layers between signed and offset.
Convolve 3×3

Convolves a layer by a 3×3 kernel.
Crop

Crops a layer to a new size.
Cross Product

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Cryptomatte

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Cryptomatte Decode

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Cryptomatte Encode

Encodes a coverage and object hash into a cryptomatte layer.
Denoise AI

Denoises an input layer.
Denoise TVD

Removes white noise from an image.
Derivative

Computes the derivative of the source layer along the x- and y-axis.
Dilate Erode

Dilates or erodes a layer.
Distort

Distorts an input layer.
Dot Product

Performs dot product between two layers.
Edge Detect

Detects edges in the input image.
Edge Detect by Contour

Detects varying-width silhouette lines.
Edge Detect by Depth

Detects varying-width self-occluding silhouettes.
Edge Detect by Normal

Detects varying-width crease-lines.
Eikonal

Computes distances by solving the Eikonal equation.
Equalize

Equalizes colors by stretching or shifting their range.
Error

Generates a message, warning, or error.
Extrapolate Boundaries

Fills empty areas of an image using colors at the edges of non-empty areas.
Feather

Smooths out sharp changes in contrast.
File

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Fill

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Flip

Flips a layer horizontally, vertically, or diagonally.
Font

Rasterizes text onto a layer from Type 1, TrueType, and OpenType fonts.
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Generates fractal noise.
Fractal Noise 3D

Generates fractal noise from 3D locations.
Function

Applies a mathematical function to a layer.
Gamma

Applies gamma correction to a layer.
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Converts a 2D volume into a layer.
Glow

Adds glow to an image based on its luminance.
HSV Adjust

Converts between RGB and HSV color spaces, or modifies HSV.
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Height to Normal

Converts a height layer to a normal layer.
Hex Tile

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Histogram

Builds a histogram from a layer.
ID to Mask

Creates a mask from an ID layer based on filtering parameters.
ID to Mono

Converts an ID layer into a mono layer.
ID to RGB

Converts an ID layer into an RGB layer.
ID to SDF

Computes a Signed Distance Field from changes in ID values.
Illegal Pixel

Detects and then fixes or highlights illegal pixels in images.
Input

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Invert

Inverts a layer.
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Runs a block using inputs plugged into this node.
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Computes the Julia set to create a fractal.
Kuwahara Filter

Applies the Kuwahara filter, which creates painterly effects.
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Generates a layer.
Layer Attribute Create

Adds or edits user-defined metadata on a layer.
Layer Properties

Edits basic layer metadata.
Layer to Geometry

Converts a layer into a 2D volume.
Light

Lights a layer given a light direction and normals.
Match Camera

Transforms a layer to match a reference camera.
Median

Applies a median filter to an image.
Mirror

Mirrors an image based on an arbitrary number of planes.
Mono

Converts a layer to mono.
Mono to ID

Converts a mono layer into an ID layer.
Mono to RGB

Converts a mono layer into an RGB layer.
Mono to RGBA

Converts a mono layer into an RGBA layer.
Mono to SDF

Computes a signed distance field from an iso-level of a mono layer.
Null

Passes inputs to the outputs.
OCIO Transform

Converts color spaces using OCIO transforms.
ONNX Inference

Applies inference from an ONNX Machine Learning model.
OpenCL

Executes an OpenCL kernel on layers.
Output

Collects the outputs of a subnetwork.
Polar to UV

Converts polar coordinate pixels to Cartesian pixels.
Position Map

Generates a position map.
Prefix Sum

Computes the prefix sum of a layer.
Premultiply

Premultiplies or un-premultiplies an RGBA layer.
Preview Material

Applies the preview material to geometry.
Project on Layer

Projects a layer onto a target layer.
Quantize

Quantizes input data into discrete steps.
RGB to RGBA

Converts RGB layers to RGBA.
RGB to UV

Splits an RGB layer into UV and mono layers.
RGBA to RGB

Converts RGBA layers to RGB.
RGBA to UV

Splits an RGBA layer into two UV layers.
ROP Image

Writes the output of a COP network to disk.
Ramp

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Random Mono

Creates a mono layer with random values.
Random RGB

Creates an RGB layer with random colors.
Rasterize Geometry

Rasterizes geometry onto a layer.
Rasterize Layer

Rasterizes a layer onto another layer’s camera.
Rasterize Setup

Prepares geometry for the Rasterize Geometry COP.
Remap

Remaps a layer.
Resample

Performs image scaling by changing the width, height, and pixel sizes.
SDF Adjust

Modifies the values for a Mono SDF layer.
SDF Blend

Combines two Mono SDF layers.
SDF Shape

Builds a 2D signed distance field of a selected shape.
SDF to Mono

Converts an SDF field to a Mono image layer.
SDF to RGB

Converts an SDF field to an RGB color layer.
SOP Import

Imports SOP Geometry into Copernicus.
Segment by Connectivity

Segment a layer into connected components.
Segment by Value

Segment a mono layer into bands of similar value.
Sequence Blend

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Slap Comp Import

Import live layers from the Solaris Viewport.
Slope Direction

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Smooth Fill

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Stamp Points

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Statistics

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Statistics by ID

Compute statistics for each ID island.
Streak Blur

Streaks an image, adding a motion blur effect.
Subnetwork

Used to organize a collection of COPs into one node.
Switch

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Switch If Wired

Selects an input based on what is connected.
Switch by Type

Selects an output layer by the type of the inputs.
Tile Pattern

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Transform 2D

Transforms a layer in 2D.
Transform 3D

Transforms a layer in 3D.
UV Map

Generates a UV Map.
UV Map by ID

Creates a UV Map for each connected ID island.
UV Sample

Samples an input layer using a UV layer.
UV Transform

Transforms the values of a UV layer in 2d space.
UV to Polar

Converts Cartesian coordinate pixels to polar coordinate pixels.
UV to RGB

Joins a UV and mono layer into an RGB layer.
UV to RGBA

Joins two UV layers into an RGBA layer.
Vector Transform

Transforms values of an RGB layer in 3d space.
Wipe

Performs a wipe transition between two images.
Worley Noise

Generates Worley noise.
Worley Noise 3D

Generates Worley noise from 3d locations.
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Z Composite

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