Distance Functions on Radiant SDF Docs

SDF Circle

Mon, 01 Jan 0001 00:00:00 +0000

SDF Circle

Inputs

float Radius | default 0.5

Behaviour

Outputs the signed distance field for a circle, based on the provided radius.

SDF CutCircle

Mon, 01 Jan 0001 00:00:00 +0000

SDF CutCircle

Inputs

float Radius | default 0.5

float CutHeight | default 0.3

Behaviour

Outputs the signed distance field for a CutCircle, based on the provided Radius. Where in the circle the cut is placed can be controlled with the CutHeightparameter. 0 - 0.5 is the upper half of the circle, whilst 0.5 - 1.0 is the lower half.

SDF Quircle

Mon, 01 Jan 0001 00:00:00 +0000

SDF Quircle

Inputs

float Radius | default 0.5

Behaviour

Outputs the signed distance field for a Quircle, based on the provided Radius.

SDF Squircle

Mon, 01 Jan 0001 00:00:00 +0000

SDF Squircle

Inputs

float Radius | default 0.5

float Roundness | default 0.2

Behaviour

Outputs the signed distance field for a Squircle, based on the provided Radius. Roundness determines how much the corners are rounded but keeps the sdf radius the same. Roundness is only well defined between 0- 1, values above 1 lead to collapse of the corners to the inside.

SDF Rectangle

Mon, 01 Jan 0001 00:00:00 +0000

SDF Rectangle

Inputs

float2 Extents | default float2(0.3, 0.5)

Behaviour

Outputs the signed distance field for a rectangle, based on the provided extents.
Extents is the total size of the resulting rectangle.

SDF Chamfered Rectangle

Mon, 01 Jan 0001 00:00:00 +0000

SDF Chamfered Rectangle

Inputs

float2 Extents | default float2(0.3, 0.5)

float Chamfer | default 0.1

Behaviour

Outputs the signed distance field for a chamfered rectangle, based on the provided extents.
Extents is the total size of the resulting rectangle.
Chamfer is given as a percentage of the side length. A chamfer of 0.5 will result in a diamond shape.

SDF Rounded Rectangle

Mon, 01 Jan 0001 00:00:00 +0000

SDF Rounded Rectangle

Inputs

float2 Extents | default float2(0.3, 0.5)

float TopLeftRadius | default 0.1

float TopRightRadius | default 0.1

float BottomRightRadius | default 0.1

float BottomLeftRadius | default 0.1

Behaviour

Outputs the signed distance field for a rounded rectangle, based on the provided extents and the individual corner radii.
Extents is the total size of the resulting rounded rectangle. Corner radii are a percentage of the side length, so 0.5 in each will result in a circle if the extents are equal.

SDF Rhombus

Mon, 01 Jan 0001 00:00:00 +0000

SDF Rhombus

Inputs

float2 Extents | default float2(0.3, 0.5)

Behaviour

Outputs the signed distance field for a rhombus, based on the provided extents.
Extents is the total size of the resulting rhombus.

SDF Parallelogram

Mon, 01 Jan 0001 00:00:00 +0000

SDF Parallelogram

Inputs

float Width | default 0.5

float Height | default 0.5

float Skew | default 0.25

Behaviour

Outputs the signed distance field for a parallelogram, based on the provided width, height and skew. Skew is a percentage relative to the width of the base rectangle. A skew of 0.5 essentially doubles the overall width of the bounding rectangle of the parallelogram.

SDF Symmetric Trapezoid

Mon, 01 Jan 0001 00:00:00 +0000

SDF Symmetric Trapezoid

Inputs

float Height | default 0.5

float UpperLength | default 0.3

float LowerLength | default 0.5

Behaviour

Outputs the signed distance field for a symmetric trapezoid. Height defines the distance from the lower side to the upper side, whereas UpperLength and LowerLength describe the sides’ length respectively.

SDF Pentagon

Mon, 01 Jan 0001 00:00:00 +0000

SDF Pentagon

Inputs

float radius | default 0.5

Behaviour

Outputs the signed distance field for a pentagon, based on the provided Radius. The radius describes the circle that all vertices of the pentagon land on. This node is more efficient than using the NGon Node to create a pentagon.

SDF Hexagon

Mon, 01 Jan 0001 00:00:00 +0000

SDF Hexagon

Inputs

float radius | default 0.5

Behaviour

Outputs the signed distance field for a hexagon, based on the provided Radius. The radius describes the circle that all vertices of the hexagon land on. This node is more efficient than using the NGon Node to create a hexagon.

SDF Octogon

Mon, 01 Jan 0001 00:00:00 +0000

SDF Octogon

Inputs

float radius | default 0.5

Behaviour

Outputs the signed distance field for a octogon, based on the provided Radius. The radius describes the circle that all vertices of the octogon land on. This node is more efficient than using the NGon Node to create a octogon.

SDF NGon

Mon, 01 Jan 0001 00:00:00 +0000

SDF NGon

Inputs

float Points | default 5.0

float Radius | default 0.5

Behaviour

Outputs the signed distance field for a NGon, based on the provided Radius and the number of points. This node is less efficient than the other polygon nodes, but allows for greater flexibility. The Points input is always floored to provide proper outputs while allowing the animation of the amount of points if desired.

SDF Triangle

Mon, 01 Jan 0001 00:00:00 +0000

SDF Triangle

Inputs

float2 Point1 | default float2(0.5, 0.5)

float2 Point2 | default float2(0.0, 0.5)

float2 Point3 | default float2(-0.5, -0.5)

Behaviour

Outputs the signed distance field for a triangle, based on the provided points. Though this is the most versatile, it is generally also the most expensive function for creating a triangle. Whenever possible, it is recommended to use the dedicated isosceles or equilateral triangle nodes.

SDF Equilateral Triangle

Mon, 01 Jan 0001 00:00:00 +0000

SDF Equilateral Triangle

Inputs

float Radius | default 0.5

Behaviour

Outputs the signed distance field for an equilateral triangle, based on the provided Radius. The radius describes the circle that all three vertices of the triangle land on, making all sides equally long.

SDF Isoceles Triangle

Mon, 01 Jan 0001 00:00:00 +0000

SDF Isosceles Triangle

Inputs

float Width | default 0.5

float Height | default 0.5

Behaviour

Outputs the signed distance field for an isosceles triangle, based on the width and height of the triangle. The figure below uses a width of 0.5 and a height of 1.0. The base will be as long as the provided width, while the length of the legs \(l\) will be equal to \(l=width*cos(45°)\).

SDF Segment

Mon, 01 Jan 0001 00:00:00 +0000

SDF Segment

Inputs

float2 Point1 | default float2(0.0, 0.1)

float2 Point2 | default float2(0.0, 0.9)

float Thickness | default 0.01

Behaviour

Outputs the signed distance field for a line segment drawn between two points. The provided thickness parameter controls how wide the line is, higher thicknesses mimic a capsule.

SDF Slanted Capsule

Mon, 01 Jan 0001 00:00:00 +0000

SDF Slanted Capsule

Inputs

float2 Point1 | default float2(0.0, -0.5)

float Radius1 | default 0.1

float2 Point2 | default float2(0.0, 0.5)

float Radius2 | default 0.2

Behaviour

Outputs the signed distance field for a slanted capsule. When setting the radii to an equal size, the result will be a regular capsule without any slanting.

SDF Ring Segment

Mon, 01 Jan 0001 00:00:00 +0000

SDF Ring Segment

Inputs

float Radius | default 0.5

float Angle | default 270.0

float Thickness | default 0.2

Behaviour

Outputs the signed distance field for a ring segment, based on the provided Radius. The segment can never be a full circle, but may get very close to it. How much of the circle it covers is based on the Angle given in degrees. The Thickness parameter determines how wide the ring segment may be.

SDF N-Pointed Star

Mon, 01 Jan 0001 00:00:00 +0000

SDF N-Pointed Star

Inputs

float Points | default 5.0

float Radius | default 0.5

float Acuteness | default 0.5

Behaviour

Outputs the signed distance field for a n-pointed star, based on the provided Radius ,Points and Acuteness. Points is the number of spikes the star will have, whereas Acuteness determines how “spikey” the star is.

SDF Moon

Mon, 01 Jan 0001 00:00:00 +0000

SDF Moon

Inputs

float Distance | default 0.2

float Radius1 | default 0.5

float Radius2 | default 0.4

Behaviour

Outputs the signed distance field for a Moon. The moon is constructed from two circles defined by Radius1 and Radius2 which are subtracted from each other, while still preserving the SDF. Distance determines how far the circle with Radius2 is from the center of the function. Distance of 0 allows for creation of a donut shape.

SDF Cross

Mon, 01 Jan 0001 00:00:00 +0000

SDF Cross

Inputs

float SideLength | default 0.5

float ArmThickness | default 0.2

float InnerCornerRadius | default 0.1

Behaviour

Outputs the signed distance field for a Cross. Sidelength defines the arms length and the bounding rectangles size. ArmThickenss determines the width of the arms, whilst InnerCornerRadius controls the radii of the corners where the two arms of the cross connect.

SDF Quadratic Bezier

Mon, 01 Jan 0001 00:00:00 +0000

SDF Quadratic Bezier

Inputs

float2 A | default float2(-0.5, 0.0)

float2 B | default float2(0.0, 0.5)

float2 C | default float2(0.5, 0.0)

float Thickness | default 0.01

Behaviour

Outputs the signed distance field for a quadratic bezier curve, based on the provided control points A, B and C. A and C are the two endpoints of the curve, while B is the middle point providing the curvature.
The provided thickness parameter controls how wide the line is.

SDF Egg

Mon, 01 Jan 0001 00:00:00 +0000

SDF Egg

Inputs

float2 RadiusA | default 0.4

float2 RadiusB | default 0.2

float2 Height | default 0.5

float2 Roundess | default 0.5

Behaviour

Outputs the signed distance field for an egg. It is built from two circles which are Height distance apart. RadiusA is the lower circle, RadiusB is the upper one. Roundess defines how the two circle are connected higher values lead to more round eggs, lower values will be more pointy.

SDF Heart

Mon, 01 Jan 0001 00:00:00 +0000

SDF Heart

Inputs

None

Behaviour

Outputs the signed distance field for a heart.

SDF Ellipse

Mon, 01 Jan 0001 00:00:00 +0000

SDF Ellipse

Inputs

float2 Width | default 0.5

float2 Height | default 0.3

Behaviour

Outputs the signed distance field for an ellipse. Width and Height control the bounding box the ellipse will fit inside. If Width == Height a sphere signed distance field will be used as a fallback.

SDF Pie

Mon, 01 Jan 0001 00:00:00 +0000

SDF Pie

Inputs

float2 Angle | default 270

float2 Radius | default 0.5

Behaviour

Outputs the signed distance field for a symmetric pie segment. Angle in degrees is controlling the size of the segment and Radius provides the size of the circle the segment is taken from.

SDF Rounded X

Mon, 01 Jan 0001 00:00:00 +0000

SDF Rounded X

Inputs

float2 Point1 | default float2(0.5, 0.5)

float2 Point2 | default float2(0.0, 0.5)

float2 Point3 | default float2(-0.5, -0.5)

Behaviour

Outputs the signed distance field for a rounded X. Radius controls the radius of the tips of the two crossing lines and SideLength controls the length. All sides are always equally long.