SphereEvaluation

class ansys.geometry.core.shapes.surfaces.sphere.SphereEvaluation(sphere: Sphere, parameter: ansys.geometry.core.shapes.parameterization.ParamUV)

Bases: ansys.geometry.core.shapes.surfaces.surface_evaluation.SurfaceEvaluation

Evaluate a sphere at given parameters.

Parameters:

sphere: ~ansys.geometry.core.shapes.surfaces.sphere.Sphere

Sphere to evaluate.

parameter: ParamUV

Parameters (u, v) to evaluate the sphere at.

Overview

Methods

position	Position of the evaluation.
normal	The normal to the surface.
u_derivative	First derivative with respect to the U parameter.
v_derivative	First derivative with respect to the V parameter.
uu_derivative	Second derivative with respect to the U parameter.
uv_derivative	Second derivative with respect to the U and V parameters.
vv_derivative	Second derivative with respect to the V parameter.
min_curvature	Minimum curvature of the sphere.
min_curvature_direction	Minimum curvature direction.
max_curvature	Maximum curvature of the sphere.
max_curvature_direction	Maximum curvature direction.

Properties

sphere	Sphere being evaluated.
parameter	Parameter that the evaluation is based upon.

Import detail

from ansys.geometry.core.shapes.surfaces.sphere import SphereEvaluation

Property detail

property SphereEvaluation.sphere: Sphere

Sphere being evaluated.

property SphereEvaluation.parameter: ansys.geometry.core.shapes.parameterization.ParamUV

Parameter that the evaluation is based upon.

Method detail

SphereEvaluation.position() → ansys.geometry.core.math.point.Point3D

Position of the evaluation.

Returns:

Point3D

Point that lies on the sphere at this evaluation.

SphereEvaluation.normal() → ansys.geometry.core.math.vector.UnitVector3D

The normal to the surface.

Returns:

UnitVector3D

Normal unit vector to the sphere at this evaluation.

SphereEvaluation.u_derivative() → ansys.geometry.core.math.vector.Vector3D

First derivative with respect to the U parameter.

Returns:

Vector3D

First derivative with respect to the U parameter.

SphereEvaluation.v_derivative() → ansys.geometry.core.math.vector.Vector3D

First derivative with respect to the V parameter.

Returns:

Vector3D

First derivative with respect to the V parameter.

SphereEvaluation.uu_derivative() → ansys.geometry.core.math.vector.Vector3D

Second derivative with respect to the U parameter.

Returns:

Vector3D

Second derivative with respect to the U parameter.

SphereEvaluation.uv_derivative() → ansys.geometry.core.math.vector.Vector3D

Second derivative with respect to the U and V parameters.

Returns:

Vector3D

The second derivative with respect to the U and V parameters.

SphereEvaluation.vv_derivative() → ansys.geometry.core.math.vector.Vector3D

Second derivative with respect to the V parameter.

Returns:

Vector3D

The second derivative with respect to the V parameter.

SphereEvaluation.min_curvature() → ansys.geometry.core.typing.Real

Minimum curvature of the sphere.

Returns:

Real

Minimum curvature of the sphere.

SphereEvaluation.min_curvature_direction() → ansys.geometry.core.math.vector.UnitVector3D

Minimum curvature direction.

Returns:

UnitVector3D

Minimum curvature direction.

SphereEvaluation.max_curvature() → ansys.geometry.core.typing.Real

Maximum curvature of the sphere.

Returns:

Real

Maximum curvature of the sphere.

SphereEvaluation.max_curvature_direction() → ansys.geometry.core.math.vector.UnitVector3D

Maximum curvature direction.

Returns:

UnitVector3D

Maximum curvature direction.