trimesh.path.entities

entities.py

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

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

Bases: Entity

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

length(vertices)

Return the arc length of the 3-point arc.

Parameter

vertices(n, d) float

Vertices for overall drawing.

returns:

length – Length of arc.

rtype:

float

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

Bases: Curve

An open or closed B- Spline.

__init__(points, knots, layer=None, metadata=None, color=None, **kwargs)
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, metadata=None, color=None, **kwargs)

Bases: Curve

An open or closed 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, metadata=None, color=None, **kwargs)

Bases: Entity

The parent class for all wild curves in space.

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, metadata=None, color=None, **kwargs)

Bases: ABC

__init__(points, closed=None, layer=None, metadata=None, color=None, **kwargs)
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.

Return type:

list of Entity

property is_valid

Is the current entity valid.

Returns:

valid – Is the current entity well formed

Return type:

bool

property layer

Set the layer the entity resides on as a shortcut to putting it in the entity metadata.

Returns:

layer – Hashable layer identifier.

Return type:

any

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 metadata

Get any metadata about the entity.

Returns:

metadata – Bag of properties.

Return type:

dict

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, metadata=None, color=None, **kwargs)

Bases: Entity

A line or poly-line entity

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, color=None, metadata=None)

Bases: Entity

Text to annotate a 2D or 3D path.

__init__(origin, text, height=None, vector=None, normal=None, align=None, layer=None, color=None, metadata=None)

An entity for text labels.

Parameters:
  • origin (int) – Index of a single vertex for text origin

  • text (str) – The text to label

  • height (float or None) – The height of text

  • vector (int or None) – An vertex index for which direction text is written along unitized: vector - origin

  • normal (int or None) – A vertex index for the plane normal: vector is along unitized: normal - origin

  • align ((2,) str or None) –

    Where to draw from for [horizontal, vertical]:

    ’center’, ‘left’, ‘right’

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