Surface parameterization is of fundamental importance for many tasks in computer vision
and imaging. In recent years, computational quasi-conformal geometry has become an …

When two bodies get into contact, only a small portion of the apparent area is actually
involved in producing contact and friction forces because of the surface roughnesses. It is …

Spherical harmonics (SH) have been extensively used as a basis for analyzing the
morphology of particles in granular mechanics. The use of SH is facilitated by mapping the …

Spectral analysis of open surfaces is gaining momentum for studying surface morphology in
engineering, computer graphics, and medical domains. This analysis is enabled using …

With the advancement of computer technology, there is a surge of interest in effective
mapping methods for objects in higher-dimensional spaces. To establish a one-to-one …

With the advancement in 3D scanning technology, there has been a surge of interest in the
use of point clouds in science and engineering. To facilitate the computations and analyses …

Abstract Brain Source Localization (BSL) using Electroencephalogram (EEG) has been a
useful noninvasive modality for the diagnosis of epileptogenic zones, study of evoked …

Conformal mapping, a classical topic in complex analysis and differential geometry, has
become a subject of great interest in the area of surface parameterization in recent decades …

The stretch energy is a fully nonlinear energy functional that has been applied to the
numerical computation of area-preserving mappings. However, this approach lacks …

We use spherical cap harmonic (SCH) basis functions to analyse and reconstruct the
morphology of scanned genus-0 rough surface patches with open edges. We first develop a …