sdf.Sphere

sdf.Sphere(radius, material=None)

Sphere centered at origin with given radius.

This is a thin wrapper that provides: - Fluent API: sphere.translate().rotate() - Operator overloading: sphere | box - Parameter storage for compilation

The actual SDF computation is in the static sdf() method.

Parameters

Name	Type	Description	Default
radius	float | Scalar	Sphere radius (float or Scalar parameter)	required

Example

Direct creation

sphere = Sphere(radius=1.0)

With parameter for optimization

from cadjoint.geometry.parameters import Scalar radius = Scalar(value=1.0, free=True, name=‘radius’) sphere = Sphere(radius=radius)

Fluent API

shape = Sphere(1.0).translate([1, 0, 0]).scale(2.0)

Direct pure function call

distance = Sphere.sdf(point, radius=1.0)

Methods

Name	Description
patch_fields	Single smooth patch: the sphere surface has no feature edges.
sdf	Pure SDF function for sphere.

patch_fields

sdf.Sphere.patch_fields()

Single smooth patch: the sphere surface has no feature edges.

sdf

sdf.Sphere.sdf(p, radius)

Pure SDF function for sphere.

This is the source of truth for sphere SDF computation. Used directly during JAX compilation and tracing.

Parameters

Name	Type	Description	Default
p	Array	Point(s) to evaluate, shape (…, 3)	required
radius	float	Sphere radius	required

Returns

Name	Type	Description
	Array	Signed distance: ||p|| - radius