ParametricObjectsDemo
Repository source: ParametricObjectsDemo
Description¶
Demonstrates the Parametric classes added by Andrew Maclean and additional classes added by Tim Meehan. The parametric spline is also included.
Options are provided to:
- Specify a single surface (-s SURFACE_NAME), if the surface name has spaces in it, remember to delineate it with double quotes (").
- Color the back-face (-b)
- Add normals (-n)
- Display the geometric bounds of the object (-l)
You can save a screenshot by pressing "k".
With respect to your VTK build you may need to specify one or more of:
-DVTK_MODULE_ENABLE_VTK_cli11=WANT
-DVTK_MODULE_ENABLE_VTK_fmt=WANT
If -DVTK_BUILD_TESTING=ON
is specified when building VTK then VTK:cli11
and VTK::fmt
will be automatically enabled.
Note
To really appreciate the complexity of some of these surfaces, select a single surface, and use the options -b -n
. Also try specifying wireframe (toggle "w" on the keyboard) and zooming in and out.
Tip
If you color the back face, the three-dimensional orientable surfaces will only show backface coloring inside the surface e.g ConicSpiral
or Torus
. For three dimensional non-orientable surfaces; backface coloring is visible because of the twisting used to generate these surfaces e.g Boy
or Figure8Klein
.
Cite
See: Parametric Equations for Surfaces, for more information. This paper provides a description of fifteen surfaces, including their parametric equations and derivatives. Also provided is an example of how to create your own surface, namely the Figure-8 Torus.
Question
If you have a question about this example, please use the VTK Discourse Forum
Code¶
ParametricObjectsDemo.py
#!/usr/bin/env python3
"""
Demonstrate all the parametric objects.
"""
from collections import OrderedDict
from dataclasses import dataclass
from pathlib import Path
# noinspection PyUnresolvedReferences
import vtkmodules.vtkInteractionStyle
# noinspection PyUnresolvedReferences
import vtkmodules.vtkRenderingFreeType
# noinspection PyUnresolvedReferences
import vtkmodules.vtkRenderingOpenGL2
from vtkmodules.vtkCommonColor import vtkNamedColors
from vtkmodules.vtkCommonComputationalGeometry import (
vtkParametricBohemianDome,
vtkParametricBour,
vtkParametricBoy,
vtkParametricCatalanMinimal,
vtkParametricConicSpiral,
vtkParametricCrossCap,
vtkParametricDini,
vtkParametricEllipsoid,
vtkParametricEnneper,
vtkParametricFigure8Klein,
vtkParametricHenneberg,
vtkParametricKlein,
vtkParametricKuen,
vtkParametricMobius,
vtkParametricPluckerConoid,
vtkParametricPseudosphere,
vtkParametricRandomHills,
vtkParametricRoman,
vtkParametricSpline,
vtkParametricSuperEllipsoid,
vtkParametricSuperToroid,
vtkParametricTorus
)
from vtkmodules.vtkCommonCore import (
vtkMinimalStandardRandomSequence,
vtkPoints
)
from vtkmodules.vtkFiltersCore import (
vtkGlyph3D,
vtkMaskPoints
)
from vtkmodules.vtkFiltersSources import (
vtkArrowSource,
vtkParametricFunctionSource
)
from vtkmodules.vtkIOImage import (
vtkPNGWriter
)
from vtkmodules.vtkInteractionStyle import vtkInteractorStyleTrackballCamera
from vtkmodules.vtkInteractionWidgets import (
vtkTextRepresentation,
vtkTextWidget
)
from vtkmodules.vtkRenderingCore import (
vtkActor,
vtkPolyDataMapper,
vtkProperty,
vtkRenderWindow,
vtkRenderWindowInteractor,
vtkRenderer,
vtkTextActor,
vtkTextProperty,
vtkWindowToImageFilter
)
def get_program_parameters():
import argparse
description = 'Display the parametric surfaces.'
epilogue = '''
'''
parser = argparse.ArgumentParser(description=description, epilog=epilogue,
formatter_class=argparse.RawDescriptionHelpFormatter)
parser.add_argument('-s', '--surface_name', default=None, help='The name of the surface e.g. "Figure-8 Klein".')
parser.add_argument('-b', '--back_face', action='store_true', help='Color the back face.')
parser.add_argument('-n', '--normals', action='store_true', help='Display normals.')
parser.add_argument('-l', '--limits', action='store_true', help='Display the geometric bounds of the object..')
args = parser.parse_args()
return args.surface_name, args.back_face, args.normals, args.limits
def main():
surface_name, back_face, normals, limits = get_program_parameters()
# Get the parametric functions and build the pipeline.
pfn = get_parametric_functions()
# Check for a single surface.
single_surface = None
if surface_name:
sn = surface_name.lower()
for t in pfn.keys():
if sn == t.lower():
single_surface = t
if single_surface is None and surface_name:
print('Nonexistent surface:', surface_name)
print('Available surfaces are:')
asl = sorted(list(pfn.keys()))
asl = [asl[i].title() for i in range(0, len(asl))]
asl = [asl[i:i + 5] for i in range(0, len(asl), 5)]
for i in range(0, len(asl)):
s = ', '.join(asl[i])
if i < len(asl) - 1:
s += ','
print(f' {s}')
return
# Now decide on the surfaces to build.
surfaces = dict()
if single_surface:
surfaces[single_surface] = pfn[single_surface]
else:
surfaces = pfn
if single_surface is not None:
renderer_size = 1000
grid_column_dimensions = 1
grid_row_dimensions = 1
else:
renderer_size = 200
grid_column_dimensions = 5
grid_row_dimensions = 5
size = (renderer_size * grid_column_dimensions, renderer_size * grid_row_dimensions)
ren_win = vtkRenderWindow(size=size, window_name='ParametricObjectsDemo')
iren = vtkRenderWindowInteractor()
iren.render_window = ren_win
style = vtkInteractorStyleTrackballCamera()
iren.interactor_style = style
colors = vtkNamedColors()
# Create one text property for all.
# text_scale_mode = {'none': 0, 'prop': 1, 'viewport': 2}
# justification = {'left': 0, 'centered': 1, 'right': 2}
text_property = vtkTextProperty(color=colors.GetColor3d('LavenderBlush'), bold=True, italic=True,
shadow=True, font_family_as_string='Courier',
font_size=renderer_size // 12,
justification=TextProperty.Justification.VTK_TEXT_CENTERED)
# Position text according to its length and centered in the viewport.
surface_names = list()
for k in surfaces.keys():
surface_names.append(surfaces[k].class_name)
text_positions = get_text_positions(surface_names, justification=TextProperty.Justification.VTK_TEXT_CENTERED)
back_property = vtkProperty(color=colors.GetColor3d('Peru'))
bounding_boxes = dict()
text_representations = list()
text_widgets = list()
surf_items = list(surfaces.items())
glyph_vector_mode = {'use_vector': 0, 'use_normal': 1, 'vector_rotation_off': 2, 'follow_camera_direction': 3}
for row in range(0, grid_row_dimensions):
for col in range(0, grid_column_dimensions):
index = row * grid_column_dimensions + col
# Set the renderer's viewport dimensions (xmin, ymin, xmax, ymax) within the render window.
# Note that for the Y values, we need to subtract the row index from grid_rows
# because the viewport Y axis points upwards, but we want to draw the grid from top to down.
viewport = (
float(col) / grid_column_dimensions,
float(grid_row_dimensions - row - 1) / grid_row_dimensions,
float(col + 1) / grid_column_dimensions,
float(grid_row_dimensions - row) / grid_row_dimensions
)
# Create a renderer for this grid cell.
renderer = vtkRenderer(background=colors.GetColor3d('MidnightBlue'), viewport=viewport)
# Add the corresponding actor and label for this grid cell, if they exist.
if index < len(surfaces):
name = surface_names[index]
src = vtkParametricFunctionSource(parametric_function=surf_items[index][1], u_resolution=51,
v_resolution=51, w_resolution=51)
mapper = vtkPolyDataMapper()
src >> mapper
actor = vtkActor(mapper=mapper)
actor.property.color = colors.GetColor3d("NavajoWhite")
if back_face:
actor.backface_property = back_property
renderer.AddActor(actor)
# Create the text actor and representation.
text_actor = vtkTextActor(input=surf_items[index][0].title(),
text_scale_mode=vtkTextActor.TEXT_SCALE_MODE_NONE,
text_property=text_property)
# Create the text representation. Used for positioning the text actor.
text_representations.append(vtkTextRepresentation(enforce_normalized_viewport_bounds=True))
text_representations[index].position_coordinate.value = text_positions[name]['p']
text_representations[index].position2_coordinate.value = text_positions[name]['p2']
# Create the text widget, setting the default renderer and interactor.
text_widgets.append(
vtkTextWidget(representation=text_representations[index], text_actor=text_actor,
default_renderer=renderer, interactor=iren, selectable=False))
bounds = src.update().output.bounds
bounding_boxes[surf_items[index][0]] = bounds
if normals:
# Glyphing
mask_pts = vtkMaskPoints(random_mode=True, maximum_number_of_points=150)
arrow = vtkArrowSource(tip_resolution=16, tip_length=0.3, tip_radius=0.1)
glyph = vtkGlyph3D(source_connection=arrow.output_port,
vector_mode=glyph_vector_mode['use_normal'], orient=True,
scale_factor=get_maximum_length(bounds) / 10.0)
glyph_mapper = vtkPolyDataMapper()
src >> mask_pts >> glyph >> glyph_mapper
glyph_actor = vtkActor(mapper=glyph_mapper)
glyph_actor.property.color = colors.GetColor3d("GreenYellow")
renderer.AddActor(glyph_actor)
renderer.ResetCamera()
renderer.active_camera.Azimuth(30)
renderer.active_camera.Elevation(-30)
renderer.active_camera.Zoom(0.9)
renderer.ResetCameraClippingRange()
ren_win.AddRenderer(renderer)
else:
ren_win.AddRenderer(renderer)
if limits:
for k, v in bounding_boxes.items():
display_bounding_box_and_center(k, v)
if surface_name:
fn = single_surface.title().replace(' ', '_')
else:
fn = 'ParametricObjectsDemo'
print_callback = PrintCallback(iren, fn, 1, False)
iren.AddObserver('KeyPressEvent', print_callback)
for i in range(0, len(surfaces)):
text_widgets[i].On()
iren.Initialize()
iren.Start()
def get_parametric_functions():
"""
Create an ordered dictionary of the parametric functions and set some parameters.
:return: The ordered dictionary.
"""
# The spline needs points
spline_points = vtkPoints()
rng = vtkMinimalStandardRandomSequence()
rng.SetSeed(8775070)
for p in range(0, 10):
xyz = [None] * 3
for idx in range(0, len(xyz)):
xyz[idx] = rng.GetRangeValue(-1.0, 1.0)
rng.Next()
spline_points.InsertNextPoint(xyz)
pfn = dict()
pfn['boy'] = vtkParametricBoy()
pfn['conic spiral'] = vtkParametricConicSpiral()
pfn['cross-cap'] = vtkParametricCrossCap()
pfn['dini'] = vtkParametricDini()
pfn['ellipsoid'] = vtkParametricEllipsoid(x_radius=0.5, y_radius=2.0)
pfn['enneper'] = vtkParametricEnneper()
pfn['figure-8 klein'] = vtkParametricFigure8Klein()
pfn['klein'] = vtkParametricKlein()
pfn['mobius'] = vtkParametricMobius(radius=2.0, minimum_v=-0.5, maximum_v=0.5)
pfn['random hills'] = vtkParametricRandomHills(random_seed=1, number_of_hills=30)
pfn['roman'] = vtkParametricRoman()
pfn['super ellipsoid'] = vtkParametricSuperEllipsoid(n1=0.5, n2=0.4)
pfn['super toroid'] = vtkParametricSuperToroid(n1=0.5, n2=3.0)
pfn['torus'] = vtkParametricTorus()
pfn['spline'] = vtkParametricSpline(points=spline_points)
# Extra parametric surfaces.
pfn['bohemian dome'] = vtkParametricBohemianDome(a=5.0, b=1.0, c=2.0)
pfn['bour'] = vtkParametricBour()
pfn['catalan minimal'] = vtkParametricCatalanMinimal()
pfn['henneberg'] = vtkParametricHenneberg()
pfn['kuen'] = vtkParametricKuen(delta_v0=0.001)
pfn['plucker conoid'] = vtkParametricPluckerConoid()
pfn['pseudosphere'] = vtkParametricPseudosphere()
# Now set more parameters.
pfn['random hills'].AllowRandomGenerationOn()
keys = sorted(pfn.keys())
ordered_pfn = OrderedDict()
for k in keys:
ordered_pfn[k] = pfn[k]
return ordered_pfn
def get_centre(bounds):
"""
Get the centre of the object from the bounding box.
:param bounds: The bounding box of the object.
:return:
"""
if len(bounds) != 6:
return None
return [bounds[i] - (bounds[i] - bounds[i - 1]) / 2.0 for i in range(1, len(bounds), 2)]
def get_maximum_length(bounds):
"""
Calculate the maximum length of the side bounding box.
:param bounds: The bounding box of the object.
:return:
"""
if len(bounds) != 6:
return None
return max([bounds[i] - bounds[i - 1] for i in range(1, len(bounds), 2)])
def display_bounding_box_and_center(name, bounds):
"""
Display the dimensions of the bounding box, maximum diagonal length
and coordinates of the centre.
:param name: The name of the object.
:param bounds: The bounding box of the object.
:return:
"""
if len(bounds) != 6:
return
max_len = get_maximum_length(bounds)
centre = get_centre(bounds)
s = f'{name:21s}\n'
s += f'{" Bounds (min, max)":21s} :'
s += f' x:({bounds[0]:6.2f}, {bounds[1]:6.2f})'
s += f' y:({bounds[2]:6.2f}, {bounds[3]:6.2f})'
s += f' z:({bounds[4]:6.2f}, {bounds[5]:6.2f})\n'
if max_len:
s += f' Maximum side length : {max_len:6.2f}\n'
if centre:
s += f' Centre (x, y, z) : ({centre[0]:6.2f}, {centre[1]:6.2f}, {centre[2]:6.2f})\n'
print(s)
class PrintCallback:
def __init__(self, caller, file_name, image_quality=1, rgba=True):
self.caller = caller
self.image_quality = image_quality
# rgba is the buffer type,
# (if true, there is no background in the screenshot).
self.rgba = rgba
parent = Path(file_name).resolve().parent
pth = Path(parent) / file_name
self.path = Path(str(pth)).with_suffix('.png')
def __call__(self, caller, ev):
# Save the screenshot.
if caller.GetKeyCode() == "k":
w2if = vtkWindowToImageFilter(input=caller.GetRenderWindow(), read_front_buffer=True,
scale=(self.image_quality, self.image_quality))
if self.rgba:
w2if.SetInputBufferTypeToRGBA()
else:
w2if.SetInputBufferTypeToRGB()
writer = vtkPNGWriter(file_name=self.path)
w2if >> writer
writer.Write()
print('Screenshot saved to:', self.path.name)
def get_text_positions(names, justification=0, vertical_justification=0, width=0.96, height=0.1):
"""
Get viewport positioning information for a list of names.
:param names: The list of names.
:param justification: Horizontal justification of the text, default is left.
:param vertical_justification: Vertical justification of the text, default is bottom.
:param width: Width of the bounding_box of the text in screen coordinates.
:param height: Height of the bounding_box of the text in screen coordinates.
:return: A list of positioning information.
"""
# The gap between the left or right edge of the screen and the text.
dx = 0.02
width = abs(width)
if width > 0.96:
width = 0.96
y0 = 0.01
height = abs(height)
if height > 0.9:
height = 0.9
dy = height
if vertical_justification == TextProperty.VerticalJustification.VTK_TEXT_TOP:
y0 = 1.0 - (dy + y0)
dy = height
if vertical_justification == TextProperty.VerticalJustification.VTK_TEXT_CENTERED:
y0 = 0.5 - (dy / 2.0 + y0)
dy = height
name_len_min = 0
name_len_max = 0
first = True
for k in names:
sz = len(k)
if first:
name_len_min = name_len_max = sz
first = False
else:
name_len_min = min(name_len_min, sz)
name_len_max = max(name_len_max, sz)
text_positions = dict()
for k in names:
sz = len(k)
delta_sz = width * sz / name_len_max
if delta_sz > width:
delta_sz = width
if justification == TextProperty.Justification.VTK_TEXT_CENTERED:
x0 = 0.5 - delta_sz / 2.0
elif justification == TextProperty.Justification.VTK_TEXT_RIGHT:
x0 = 1.0 - dx - delta_sz
else:
# Default is left justification.
x0 = dx
# For debugging!
# print(
# f'{k:16s}: (x0, y0) = ({x0:3.2f}, {y0:3.2f}), (x1, y1) = ({x0 + delta_sz:3.2f}, {y0 + dy:3.2f})'
# f', width={delta_sz:3.2f}, height={dy:3.2f}')
text_positions[k] = {'p': [x0, y0, 0], 'p2': [delta_sz, dy, 0]}
return text_positions
@dataclass(frozen=True)
class TextProperty:
@dataclass(frozen=True)
class Justification:
VTK_TEXT_LEFT: int = 0
VTK_TEXT_CENTERED: int = 1
VTK_TEXT_RIGHT: int = 2
@dataclass(frozen=True)
class VerticalJustification:
VTK_TEXT_BOTTOM: int = 0
VTK_TEXT_CENTERED: int = 1
VTK_TEXT_TOP: int = 2
if __name__ == '__main__':
main()