3 papers
cs.CV2025
Enhanced 3D Shape Analysis via Information Geometry
Amit Vishwakarma, K. S. Subrahamanian Moosath
Three-dimensional point clouds provide highly accurate digital representations of objects, essential for applications in computer graphics, photogrammetry, computer vision, and rob…
math.DG2025
Distance Measure Based on an Embedding of the Manifold of K-Component Gaussian Mixture Models into the Manifold of Symmetric Positive Definite Matrices
Amit Vishwakarma, KS Subrahamanian Moosath
In this paper, a distance between the Gaussian Mixture Models(GMMs) is obtained based on an embedding of the K-component Gaussian Mixture Model into the manifold of the symmetric p…
math.DG2024
Information Geometric Framework For Point Cloud Data
Amit Vishwakarma, KS Subrahamanian Moosath
In this paper, we introduce a novel method for comparing 3D point clouds, a critical task in various machine learning applications. By interpreting point clouds as samples from und…