5 papers
On the randomized Horn problem and the surface tension of hives
Aalok Gangopadhyay, Hariharan Narayanan
Given two nonincreasing -tuples of real numbers , , the Horn problem asks for a description of all nonincreasing -tuples of real numbers such that there ex…
Denoising data using convex relaxations
Charles Fefferman, Aalok Gangopadhyay, Matti Lassas +2
We study the problem of denoising observations \(Y_i=X_i+Z_i\), where the latent variables \(X_i\) are sampled from a low-dimensional manifold in \(\mathbb{R}^n\) and the noise var…
Flow Symmetrization for Parameterized Constrained Diffeomorphisms
Aalok Gangopadhyay, Dwip Dalal, Progyan Das +1
Diffeomorphisms play a crucial role while searching for shapes with fixed topological properties, allowing for smooth deformation of template shapes. Several approaches use diffeom…
DMD-Net: Deep Mesh Denoising Network
Aalok Gangopadhyay, Shashikant Verma, Shanmuganathan Raman
We present Deep Mesh Denoising Network (DMD-Net), an end-to-end deep learning framework, for solving the mesh denoising problem. DMD-Net consists of a Graph Convolutional Neural Ne…
Hand Shadow Art: A Differentiable Rendering Perspective
Aalok Gangopadhyay, Prajwal Singh, Ashish Tiwari +1
Shadow art is an exciting form of sculptural art that produces captivating artistic effects through the 2D shadows cast by 3D shapes. Hand shadows, also known as shadow puppetry or…