UV to Polar Copernicus node

Converts Cartesian coordinate pixels to polar coordinate pixels.

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Parameters
Inputs
Outputs

A position in 2d space can be specified as Cartesian coordinates, ie, the x and y locations along a pair of axes. It can also be represented as Polar coordinates, which are a distance from an origin and an angle about the origin measured from the x-axis.

This operation converts the Cartesian location into a polar location. Note this affects each pixel in place - it does not move pixels from a polar mapping to a cartesian mapping. To move pixels instead build a UV Map COP, apply this node, and then a UV Sample COP.

Parameters ¶

Angle Units

There are several different ways to specify angles. The default is to use the number of rotations about the axis, which nicel gives a zero to one range.

Radians

Angles are stored as distance around a unit circle. This is used by VEX and OpenCL math functions.

Degrees

Angles are stored by degrees. This is used by expressions, and is the usual human readable format.

Circles (2pi)

Angles are stored as number of complete rotations. This is the radian measure divided by 2pi, or the degree divided by 360. It nicely ranges from 0 to 1 making it easy to visualize and work with.

Inputs ¶

A UV layer consisting of Cartesian coordinates to convert to polar coordinates.

Outputs ¶

angle

An Mono layer specifying how far about the origin the point is rotated.

length

An Mono layer storing distance from the origin.

See also

Polar to UV

Copernicus nodes

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Blend

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Block End

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

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Bokeh

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Camera Import

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Camera Properties

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Channel Extract

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Channel Join

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Channel Split

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Channel Swap

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Checkerboard

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Chroma Key

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Chromatic Aberration

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Clamp

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Combine Normals

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Compare

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Constant

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Contrast

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Crop

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Cross Product

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Cryptomatte Decode

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Cryptomatte Encode

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Denoise TVD

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Derivative

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Distort

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Dot Product

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Edge Detect by Contour

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Edge Detect by Depth

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Edge Detect by Normal

Detects varying-width crease-lines.
Eikonal

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Equalize

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Error

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Feather

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Flip

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Fractal Noise 3D

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

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HSV Adjust

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Converts a height layer to a normal layer.
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Histogram

Builds a histogram from a layer.
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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

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

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Runs a block using inputs plugged into this node.
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Kuwahara Filter

Applies the Kuwahara filter, which creates painterly effects.
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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.
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Segment by Value

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Sequence Blend

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Slap Comp Import

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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.
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Used to organize a collection of COPs into one node.
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Selects an input layer.
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

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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.
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Performs a wipe transition between two images.
Worley Noise

Generates Worley noise.
Worley Noise 3D

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Z Composite

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