Mean Curvature Flow

This example visualize the mean curvature flow of a bust sculpture. In addition to the shapes, we also visualize the distance to the origin mesh using color.

Data

The bust sculpture used is design by Luke Chilson and published on Thingiverse.

Code

#!/usr/bin/env python
import hakowan as hkw
import copy
import numpy as np

flow0 = hkw.layer("data/flow_00.ply")
flow2 = hkw.layer("data/flow_02.ply")
flow5 = hkw.layer("data/flow_05.ply")
flow9 = hkw.layer("data/flow_09.ply")

s = 0.3
mat = hkw.material.Principled(
    hkw.texture.ScalarField(
        hkw.attribute(
            "dist",
            scale=hkw.scale.Normalize(
                domain_min=-s, domain_max=s, range_min=0, range_max=1
            ),
        ),
    ),
    roughness=0.5,
    metallic=0.2,
)

dist0 = flow0.channel(material=copy.deepcopy(mat))
dist2 = flow2.channel(material=copy.deepcopy(mat))
dist5 = flow5.channel(material=copy.deepcopy(mat))
dist9 = flow9.channel(material=copy.deepcopy(mat))

config = hkw.config()
config.z_up()
config.sensor.location = [0, -2.5, 0]
config.film.width = 600
config.film.height = 1024

hkw.render(flow0, config, filename="results/bust_00.png")
hkw.render(flow2, config, filename="results/bust_02.png")
hkw.render(flow5, config, filename="results/bust_05.png")
hkw.render(flow9, config, filename="results/bust_09.png")

hkw.render(dist0, config, filename="results/bust_dist_00.png")
hkw.render(dist2, config, filename="results/bust_dist_02.png")
hkw.render(dist5, config, filename="results/bust_dist_05.png")
hkw.render(dist9, config, filename="results/bust_dist_09.png")