2 citations · 4 across the 9 of their papers we have counts for
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On the Injectivity of Euler Integral Transforms with Hyperplanes and Quadric Hypersurfaces
Mattie Ji
The Euler characteristic transform (ECT) is an integral transform used widely in topological data analysis. Previous efforts by Curry et al. and Ghrist et al. have independently sh…
Euler Characteristics and Homotopy Types of Definable Sublevel Sets, with Applications to Topological Data Analysis
Mattie Ji, Kun Meng
Given a definable function on a definable set , we study sublevel sets of the form for all . U…
Statistical Inference on Grayscale Images via the Euler-Radon Transform
Kun Meng, Mattie Ji, Jinyu Wang +4
Tools from topological data analysis have been widely used to represent binary images in many scientific applications. Methods that aim to represent grayscale images (i.e., where p…
Explicit equations of the fake projective plane
Lev Borisov, Mattie Ji, Yanxin Li
We find explicit equations of the fake projective plane , which lies in the same class as the fake projective plane with…
On the Geometry of a Fake Projective Plane with Automorphisms
Lev Borisov, Mattie Ji, Yanxin Li +1
A fake projective plane is a complex surface with the same Betti numbers as but not biholomorphic to it. We study the fake projective plane $\mathbb{P}_{\operatorn…