Jay P. Fillmore

Papers

Total Citations

305

H-Index

About

Jay P. Fillmore is a mathematician whose work has profoundly shaped geometric modeling and approximation theory, particularly on curved surfaces. His most celebrated contribution, the 2001 paper "Spherical averages and applications to spherical splines and interpolation" (305 citations), introduced a rigorous, least-squares method for computing weighted averages directly on spheres. By proving the existence and uniqueness of these spherical averages and developing fast iterative algorithms with linear and quadratic convergence, Fillmore provided the foundational tools for constructing smooth splines and interpolants on non-Euclidean domains. This breakthrough has had lasting impact across computer graphics, geophysics, and medical imaging, where data naturally lives on spherical surfaces. His work elegantly bridges abstract geometric principles with practical computational needs, offering researchers a robust framework for handling directional data. Fillmore’s insights into spherical geometry continue to influence modern approaches to shape analysis and spatial statistics, making him a key figure in the development of intrinsic, geometry-aware algorithms.