Spline

class Spline

Bases: BaseModel

Represents a spline, which is a smooth curve constructed from a series of control points.

Splines are essential in various applications such as computer graphics, geometric modeling, and trajectory planning.

points

The list of control points that define the spline. The spline passes through these points.

Type:

List[Point]

degree

The degree of the spline curve. Common values are 2 (quadratic) and 3 (cubic).

Type:

int

Raises:

ValueError – If the number of points is less than the degree + 1, which is necessary for defining a valid spline.

Attributes Summary

model_config

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].

Methods Summary

validate_degree(value)	Validate that the degree of the spline is a positive integer.
validate_points(value, values)	Validate that the list of points is sufficient to define a spline of the specified degree.

Attributes Documentation

model_config: ClassVar[ConfigDict] = {}

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].

Methods Documentation

classmethod validate_degree(value)

Validate that the degree of the spline is a positive integer.

Parameters:

value (int) – The degree of the spline.

Returns:

The validated degree of the spline.

Raises:

ValueError – If the degree is not a positive integer.

Return type:

int

classmethod validate_points(value, values)

Validate that the list of points is sufficient to define a spline of the specified degree.

Parameters:

• value (List[Point]) – The list of control points.

• values (dict) – A dictionary of field names to their validated values.

Returns:

The validated list of control points.

Raises:

ValueError – If the number of points is less than the required for the spline’s degree.

Return type:

List[Point]

Methods:

validate_points(value, values)	Validate that the list of points is sufficient to define a spline of the specified degree.
validate_degree(value)	Validate that the degree of the spline is a positive integer.

Attributes:

__pydantic_setattr_handlers__

__setattr__ handlers.

classmethod validate_points(value, values)

Validate that the list of points is sufficient to define a spline of the specified degree.

Parameters:

• value (List[Point]) – The list of control points.

• values (dict) – A dictionary of field names to their validated values.

Returns:

The validated list of control points.

Raises:

ValueError – If the number of points is less than the required for the spline’s degree.

Return type:

List[Point]

classmethod validate_degree(value)

Validate that the degree of the spline is a positive integer.

Parameters:

value (int) – The degree of the spline.

Returns:

The validated degree of the spline.

Raises:

ValueError – If the degree is not a positive integer.

Return type:

int

__pydantic_setattr_handlers__: ClassVar[Dict[str, Callable[[BaseModel, str, Any], None]]] = {}

__setattr__ handlers. Memoizing the handlers leads to a dramatic performance improvement in __setattr__