YSM Issue 96.3
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
FOCUS<br />
Computer Science<br />
REPRESENTATION<br />
IN ANIMATION<br />
Computer Science<br />
Captures The Physics<br />
of Afro-Textured Hair<br />
BY ABIGAIL JOLTEUS<br />
PHOTOGRAPH COURTESY OF FAREED SALMON<br />
In the past, in computer animation, many Black characters would<br />
have poorly animated braids, or more frequently, just have<br />
straight hair. For years, computer animations would use these<br />
inaccurate representations of tightly coiled hair, also known as afrotextured<br />
hair. Recently, as more people of color have been hired and<br />
cast for animation roles, the animation industry has moved towards<br />
becoming more diverse and inclusive than ever before.<br />
However, this increase in diversity did not translate into more<br />
accurate animation of afro-textured hair. “The way that hair<br />
has been simulated, at least since the ‘90s, has been many line<br />
segments chained together, and making them small enough gives<br />
a smooth appearance,” said Theodore Kim, an associate professor<br />
of computer science at Yale. Animating hair is achieved through<br />
various mathematical equations where the twists of each strand<br />
must be carefully simulated for accurate hair motion. “Therefore,<br />
when a character shakes their head, you can see realistic movement,”<br />
Kim said. However, this process only works for the overwhelming<br />
majority of animated characters who are white and have straight<br />
hair. “The trouble appears with the physics equations selected for<br />
simulation,” he said.<br />
A team of computer scientists at Yale have created a novel<br />
physical model that allows for more accurate animation of tightly<br />
coiled hair, more realistically capturing the way it looks and moves.<br />
“We were concerned with three different types of elastic energy<br />
for hair: stretching, bending, and twisting energies,” said Haomiao<br />
Wu, one of the lead researchers on the project. “These energies<br />
constrain how the strands behave in an elastic way. We proposed<br />
a different set of those three energies for a model so that it is more<br />
stable.” In other words, they wanted to capture the true essence of<br />
afro-textured hair using sophisticated mathematical modeling.<br />
Their isotropic, hyperelastic model was specifically designed for<br />
better simulation of tightly coiled hair. “Isotropic means that no<br />
matter the direction, the restorative force is the same,” said Alvin<br />
Shi, another one of the lead researchers on the study. Restorative<br />
force is the force needed for an object to return to its initial size<br />
and shape. In this case, it enables a hair strand to return to its initial<br />
coiled state, which better captures afro-textured hair. This model is<br />
also faster, simpler, and more robust than previous models.<br />
The researchers devised this model by discarding the previous<br />
assumption for mathematical equations to simulate the curling<br />
pattern of each strand and instead consider large bends and<br />
torsions, as well as assuming, to a certain extent, that the hair is<br />
non-straight. While this model was designed for kinky, curly, or<br />
coily hair, the researchers discovered that it is also effective for<br />
straight hair.<br />
As with all simulations, there are flaws. Some of these limitations<br />
include the scaling behavior of tight, coily hair and lack of variation<br />
in how the hair can look. Currently, the model can account for only<br />
two different appearances of afro-textured hair: a clumped look,<br />
well-defined curls, and a more picked-out look, or fluffed-out<br />
afro-textured hair. By decreasing the radius of a wisp—a clump of<br />
hair strands common in afro-textured hair—but keeping the same<br />
total number of hair strands, a more picked-out look is obtained.<br />
However, these looks are not incredibly realistic compared to reallife<br />
individuals with the same hair type. “We are looking to improve<br />
on the realistic aspect of our model,” Shi said.<br />
For the next steps, the researchers plan to conduct further<br />
experiments with the realism of the simulated hair and possibly test<br />
an anisotropic model, meaning the pattern is different in various<br />
directions, which could lead to better animations of different<br />
hairstyles with afro-textured hair.<br />
While no animated content or games are perfect, it is important<br />
that Black individuals see themselves adequately represented in<br />
the media that they consume. As the creators of one of the first<br />
models specifically for tight, coily hair, the team also hopes that<br />
other researchers will be inspired to conduct similar research. “We<br />
are looking forward to seeing more and more research in this field,<br />
not just from us but other researchers as well,” Wu said. Ultimately,<br />
they want their model to lead to greater and better racial and ethnic<br />
representation in animated games and movies. “It might take<br />
longer than we wish for these techniques to be implemented, but<br />
we are hoping as soon as possible,” Wu said. ■<br />
10 Yale Scientific Magazine September 2023 www.yalescientific.org