An approach is presented for exploring an unknown, arbitrary surface in three-dimensional (3D) space by a mobile robot. The main contributions are (1) an analysis of the capabilit...
Kiriakos N. Kutulakos, Charles R. Dyer, Vladimir J...
We consider the problem of discovering a smooth unknown surface S bounding an object O in R3 . The discovery process consists of moving a point probing device in the free space ar...
Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve ...
The goal of algebraic geometry is to gain an understanding of the behaviour of functions related by polynomial relationships. Algebraic curves and surfaces having considerable adva...
An important research area in computer vision is developing
algorithms that can reconstruct the 3D surface of an object
represented by a single 2D line drawing. Previous work
on...
Yingze Wang (The Chinese University of Hong Kong),...
In order to analyze shapes of continuous curves in R3 , we parameterize them by arc-length and represent them as curves on a unit two-sphere. We identify the subset denoting the cl...