About me
I am an undergraduate researcher in the Yale Graphics Group, performing computer graphics research under the mentorship of Dr. Theodore Kim. My research interests include geometry processing, fractal geometry and physical simulation. I was selected as a runner-up for the 2024 CRA Outstanding Undergraduate Researcher Award.
I presented my recent work, A Shape Modulus for Fractal Geometry Generation (see below), at the Eurographics Symposium for Geometry Processing 2023 in Genoa, IT.
Publications
We present an efficient new method for computing Mandelbrot-like fractals (Julia sets) that approximate a user-defined shape.
Our algorithm is orders of magnitude faster than previous methods, as it entirely sidesteps the need for a time-consuming numerical optimization.
It is also more robust, succeeding on shapes where previous approaches failed.
The key to our approach is a versor-modulus analysis of iterated function systems that allows us to formulate a novel shape modulus function that directly controls the broad shape of a Julia set, while keeping fine-grained fractal details intact.
Our formulation contains flexible artistic controls that allow users to seamlessly add fractal detail to desired spatial regions, while transitioning back to the original shape in others. No previous approach allows these sort of Mandelbrot-like details to be "painted" onto meshes.
The key to our approach is a versor-modulus analysis of iterated function systems that allows us to formulate a novel shape modulus function that directly controls the broad shape of a Julia set, while keeping fine-grained fractal details intact.
Our formulation contains flexible artistic controls that allow users to seamlessly add fractal detail to desired spatial regions, while transitioning back to the original shape in others. No previous approach allows these sort of Mandelbrot-like details to be "painted" onto meshes.
