trimesh.path.entities¶

entities.py¶

Basic geometric primitives which only store references to vertex indices rather than vertices themselves.

Classes:

`Arc`(points[, closed, layer, color])
`BSpline`(points, knots[, layer])	An open or closed B- Spline.
`Bezier`(points[, closed, layer, color])	An open or closed Bezier curve
`Curve`(points[, closed, layer, color])	The parent class for all wild curves in space.
`Entity`(points[, closed, layer, color])
`Line`(points[, closed, layer, color])	A line or poly-line entity
`Text`(origin, text[, height, vector, normal, …])	Text to annotate a 2D or 3D path.

Functions:

`arc_center`(points[, return_normal, return_angle])	Given three points on a 2D or 3D arc find the center, radius, normal, and angular span.
`discretize_arc`(points[, close, scale])	Returns a version of a three point arc consisting of line segments.
`discretize_bezier`(points[, count, scale])	param points Control points of the bezier curve
`discretize_bspline`(control, knots[, count, …])	Given a B-Splines control points and knot vector, return a sampled version of the curve.

class trimesh.path.entities.Arc(points, closed=None, layer=None, color=None, **kwargs)¶

Bases: trimesh.path.entities.Entity

Methods:

`bounds`(vertices)	Return the AABB of the arc entity.
`center`(vertices, **kwargs)	Return the center information about the arc entity.
`discrete`(vertices[, scale])	Discretize the arc entity into line sections.

Attributes:

`closed`	A boolean flag for whether the arc is closed (a circle) or not.
`is_valid`	Is the current Arc entity valid.

bounds(vertices)¶

Return the AABB of the arc entity.

Parameters: vertices ((n, dimension) float) – Vertices in space
Returns: bounds – Coordinates of AABB in (min, max) form
Return type: (2, dimension) float

center(vertices, **kwargs)¶

Return the center information about the arc entity.

Parameters: vertices ((n, dimension) float) – Vertices in space
Returns: info – With keys: ‘radius’, ‘center’
Return type: dict

property closed¶

A boolean flag for whether the arc is closed (a circle) or not.

Returns: closed – If set True, Arc will be a closed circle
Return type: bool

discrete(vertices, scale=1.0)¶

Discretize the arc entity into line sections.

Parameters

vertices ((n, dimension) float) – Points in space
scale (float) – Size of overall scene for numerical comparisons

Returns

discrete – Path in space made up of line segments

Return type

(m, dimension) float

property is_valid¶

Is the current Arc entity valid.

Returns: valid – Does the current Arc have exactly 3 control points
Return type: bool

class trimesh.path.entities.BSpline(points, knots, layer=None, **kwargs)¶

Bases: trimesh.path.entities.Curve

An open or closed B- Spline.

Methods:

`discrete`(vertices[, count, scale])	Discretize the B-Spline curve.
`to_dict`()	Returns a dictionary with all of the information about the entity.

discrete(vertices, count=None, scale=1.0)¶

Discretize the B-Spline curve.

Parameters

vertices ((n, 2) or (n, 3) float) – Points in space
scale (float) – Scale of overall drawings (for precision)
count (int) – Number of segments to return

Returns

discrete – Curve as line segments

Return type

(m, 2) or (m, 3) float

to_dict()¶: Returns a dictionary with all of the information about the entity.

class trimesh.path.entities.Bezier(points, closed=None, layer=None, color=None, **kwargs)¶

Bases: trimesh.path.entities.Curve

An open or closed Bezier curve

Methods:

discrete(vertices[, scale, count])

Discretize the Bezier curve.

discrete(vertices, scale=1.0, count=None)¶

Discretize the Bezier curve.

Parameters

vertices ((n, 2) or (n, 3) float) – Points in space
scale (float) – Scale of overall drawings (for precision)
count (int) – Number of segments to return

Returns

discrete – Curve as line segments

Return type

(m, 2) or (m, 3) float

class trimesh.path.entities.Curve(points, closed=None, layer=None, color=None, **kwargs)¶

Bases: trimesh.path.entities.Entity

The parent class for all wild curves in space.

Attributes:

nodes

Returns an (n,2) list of nodes, or vertices on the path.

property nodes¶

Returns an (n,2) list of nodes, or vertices on the path. Note that this generic class function assumes that all of the reference points are on the path which is true for lines and three point arcs.

If you were to define another class where that wasn’t the case (for example, the control points of a bezier curve), you would need to implement an entity- specific version of this function.

The purpose of having a list of nodes is so that they can then be added as edges to a graph so we can use functions to check connectivity, extract paths, etc.

The slicing on this function is essentially just tiling points so the first and last vertices aren’t repeated. Example:

self.points = [0,1,2] returns: [[0,1], [1,2]]

class trimesh.path.entities.Entity(points, closed=None, layer=None, color=None, **kwargs)¶

Bases: object

Methods:

`bounds`(vertices)	Return the AABB of the current entity.
`copy`()	Return a copy of the current entity.
`explode`()	Split the entity into multiple entities.
`length`(vertices)	Return the total length of the entity.
`reverse`([direction])	Reverse the current entity in place.
`to_dict`()	Returns a dictionary with all of the information about the entity.

Attributes:

`closed`	If the first point is the same as the end point the entity is closed
`end_points`	Returns the first and last points.
`is_valid`	Is the current entity valid.
`nodes`	Returns an (n,2) list of nodes, or vertices on the path.

bounds(vertices)¶

Return the AABB of the current entity.

Parameters: vertices ((n, dimension) float) – Vertices in space
Returns: bounds – Coordinates of AABB, in (min, max) form
Return type: (2, dimension) float

property closed¶

If the first point is the same as the end point the entity is closed

Returns: closed – Is the entity closed or not?
Return type: bool

copy()¶

Return a copy of the current entity.

Returns: copied – Copy of current entity
Return type: Entity

property end_points¶

Returns the first and last points. Also note that if you define a new entity class where the first and last vertices in self.points aren’t the endpoints of the curve you need to implement this function for your class.

Returns: ends – Indices of the two end points of the entity
Return type: (2,) int

explode()¶

Split the entity into multiple entities.

Returns: explode – Current entity split into multiple entities if necessary
Return type: list of Entity

property is_valid¶

Is the current entity valid.

Returns: valid – Is the current entity well formed
Return type: bool

length(vertices)¶

Return the total length of the entity.

Parameters: vertices ((n, dimension) float) – Vertices in space
Returns: length – Total length of entity
Return type: float

property nodes¶

Returns an (n,2) list of nodes, or vertices on the path. Note that this generic class function assumes that all of the reference points are on the path which is true for lines and three point arcs.

If you were to define another class where that wasn’t the case (for example, the control points of a bezier curve), you would need to implement an entity- specific version of this function.

The purpose of having a list of nodes is so that they can then be added as edges to a graph so we can use functions to check connectivity, extract paths, etc.

The slicing on this function is essentially just tiling points so the first and last vertices aren’t repeated. Example:

self.points = [0,1,2] returns: [[0,1], [1,2]]

reverse(direction=- 1)¶

Reverse the current entity in place.

Parameters: direction (int) – If positive will not touch direction If negative will reverse self.points

to_dict()¶

Returns a dictionary with all of the information about the entity.

Returns: as_dict – Has keys ‘type’, ‘points’, ‘closed’
Return type: dict

class trimesh.path.entities.Line(points, closed=None, layer=None, color=None, **kwargs)¶

Bases: trimesh.path.entities.Entity

A line or poly-line entity

Methods:

`discrete`(vertices[, scale])	Discretize into a world- space path.
`explode`()	If the current Line entity consists of multiple line break it up into n Line entities.

Attributes:

is_valid

Is the current entity valid.

discrete(vertices, scale=1.0)¶

Discretize into a world- space path.

Parameters

vertices ((n, dimension) float) – Points in space
scale (float) – Size of overall scene for numerical comparisons

Returns

discrete – Path in space composed of line segments

Return type

(m, dimension) float

explode()¶

If the current Line entity consists of multiple line break it up into n Line entities.

Returns: exploded
Return type: (n,) Line entities

property is_valid¶

Is the current entity valid.

Returns: valid – Is the current entity well formed
Return type: bool

class trimesh.path.entities.Text(origin, text, height=None, vector=None, normal=None, align=None, layer=None)¶

Bases: trimesh.path.entities.Entity

Text to annotate a 2D or 3D path.

Methods:

`angle`(vertices)	If Text is 2D, get the rotation angle in radians.
`discrete`(args, *kwargs)
`length`(vertices)	Return the total length of the entity.
`plot`(vertices[, show])	Plot the text using matplotlib.

Attributes:

`closed`	If the first point is the same as the end point the entity is closed
`end_points`	Returns the first and last points.
`is_valid`	Is the current entity valid.
`nodes`	Returns an (n,2) list of nodes, or vertices on the path.
`normal`	A point representing the plane normal along the vector: vertices[normal] - vertices[origin]
`origin`	The origin point of the text.
`vector`	A point representing the text direction along the vector: vertices[vector] - vertices[origin]

angle(vertices)¶

If Text is 2D, get the rotation angle in radians.

Parameters: vertices ((n, 2) float) – Vertices in space referenced by self.points
Returns: angle – Rotation angle in radians
Return type: float

property closed¶

If the first point is the same as the end point the entity is closed

Returns: closed – Is the entity closed or not?
Return type: bool

discrete(*args, **kwargs)¶

property end_points¶

Returns the first and last points. Also note that if you define a new entity class where the first and last vertices in self.points aren’t the endpoints of the curve you need to implement this function for your class.

Returns: ends – Indices of the two end points of the entity
Return type: (2,) int

property is_valid¶

Is the current entity valid.

Returns: valid – Is the current entity well formed
Return type: bool

length(vertices)¶

Return the total length of the entity.

Parameters: vertices ((n, dimension) float) – Vertices in space
Returns: length – Total length of entity
Return type: float

property nodes¶

Returns an (n,2) list of nodes, or vertices on the path. Note that this generic class function assumes that all of the reference points are on the path which is true for lines and three point arcs.

If you were to define another class where that wasn’t the case (for example, the control points of a bezier curve), you would need to implement an entity- specific version of this function.

The purpose of having a list of nodes is so that they can then be added as edges to a graph so we can use functions to check connectivity, extract paths, etc.

The slicing on this function is essentially just tiling points so the first and last vertices aren’t repeated. Example:

self.points = [0,1,2] returns: [[0,1], [1,2]]

property normal¶

A point representing the plane normal along the vector: vertices[normal] - vertices[origin]

Returns: normal – Index of vertex
Return type: int

property origin¶

The origin point of the text.

Returns: origin – Index of vertices
Return type: int

plot(vertices, show=False)¶

Plot the text using matplotlib.

Parameters

vertices ((n, 2) float) – Vertices in space
show (bool) – If True, call plt.show()

property vector¶

A point representing the text direction along the vector: vertices[vector] - vertices[origin]

Returns: vector – Index of vertex
Return type: int