6 papers
Extrinsic MANOVA for Oriented Projective Shapes
Musab Alamoudi, Robert L. Paige, Victor Patrangenaru
For configurations of landmarks reconstructed from camera images, classical projective shape analysis identifies antipodal spherical representatives of projective coordinates, whil…
Multi-View Structure-from-Motion Enables Oriented Projective Shape Analysis in Three Dimensions
Musab Alamoudi, Robert L. Paige, Vic Patrangenaru
Projective shape analysis provides a geometric framework for studying landmark configurations in digital images acquired by pinhole cameras. In the classical projective shape (PS)…
Extrinsic Analysis on BHV4
Tingan Chen, Garett Ordway, Vic Patrangenaru
One investigates the extrinsic statistical analysis on the space of Billera- Holmes-Vogtmann tree space with four leaves (T4 or BHV4) based on its recently proposed novel represent…
Extrinsic Total-Variance and Coplanarity via Oriented and Classical Projective Shape Analysis
Musab Alamoudi, Robert L. Paige, Vic Patrangenaru
Projective shape analysis provides a geometric framework for studying digital images acquired by pinhole digital cameras. In the classical projective shape (PS) method, landmark co…
Extrinsic Principal Component Analysis
Ka Chun Wong, Vic Patrangenaru, Robert L. Paige +1
One develops a fast computational methodology for principal component analysis on manifolds. Instead of estimating intrinsic principal components on an object space with a Riemanni…
Sampling the Swadesh List to Identify Similar Languages with Tree Spaces
Garett Ordway, Vic Patrangenaru
Communication plays a vital role in human interaction. Studying language is a worthwhile task and more recently has become quantitative in nature with developments of fields like q…