Difference between revisions of "IC Python API:Transform Math"
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=== Transform Point with Specific Rotation === | === Transform Point with Specific Rotation === |
Revision as of 23:39, 17 February 2020
- Main article: RL Python Samples.
This article will go some recipes for common 3D transformational math. You'll find this helpful if you need to perform spacial calculations.
Transform Point
Transforms position of a point from local-space to world-space. The returned position is affected by scale.
def transform_point(world_transform, local_position):
# Get the transform matrix4
world_matrix = world_transform.Matrix()
# New matrix4 for the local position
point_world_matrix = RLPy.RMatrix4()
point_world_matrix.MakeIdentity()
point_world_matrix.SetTranslate(local_position)
# Combine the 2 matrix4s
point_world_matrix = point_world_matrix * world_matrix
# Return the translation element of the combined matrix4
return RLPy.RVector3(point_world_matrix.GetTranslate())
Transform Point with Specific Rotation
In order to assign a specific rotation, use the following instead:
def transform_point(world_transform, specific_rotation, local_position):
# Get the transform matrix4
world_matrix = world_transform.Matrix()
world_matrix.SetSR(specific_rotation)
# New matrix4 for the local position
point_world_matrix = RLPy.RMatrix4()
point_world_matrix.MakeIdentity()
point_world_matrix.SetTranslate(local_position)
# Combine the 2 matrix4
point_world_matrix = point_world_matrix * world_matrix
# Return the translation element of the combined matrix4
return RLPy.RVector3(point_world_matrix.GetTranslate())
Inverse Transform Point
Transforms a position point from world-space to local-space. This function is the opposite of Transform Point, which is used to convert local to world-space.
def inverse_transform_point(world_transform, world_point):
transform_matrix = world_transform.Matrix()
local_position = world_point - transform_matrix.GetTranslate() # Can also use transform.T()
transform_matrix.SetTranslate(RLPy.RVector3.ZERO) # Zero out transform matrix translation
# New matrix4 for the local position
point_world_matrix = RLPy.RMatrix4()
point_world_matrix.MakeIdentity()
point_world_matrix.SetTranslate(local_position)
# Convert local space to transform space
point_transform_matrix = point_world_matrix * transform_matrix.Inverse()
# Return the translation element of the combined matrix4
return point_transform_matrix.GetTranslate()
Transform Direction
Transforms direction of a vector from local-space to world-space. The returned vector has the same length as the direction.
def transform_direction(world_transform, local_position):
# Get the transform rotation 3x3 matrix
world_rot_matrix = world_transform.Rotate()
# New matrix4 for world direction
world_dir = RLPy.RMatrix4()
world_dir.MakeIdentity()
world_dir.SetSR(world_rot_matrix)
# New matrix for the local position
point_world_matrix = RLPy.RMatrix4()
point_world_matrix.MakeIdentity()
point_world_matrix.SetTranslate(local_position)
# Combine the 2 matrix4
point_world_matrix = point_world_matrix * world_dir
# Return the translation element of the combined matrix4
return RLPy.RVector3(point_world_matrix.GetTranslate())