This report deals with multigrid approximations of surfaces. Surface area and volume approximations are discussed for regular grids (3D objects), and surface reconstruction for irregular grids (terrain surfaces). Convergence analysis and approximation error calculations are emphasized. 1 CITR, Tamaki Campus, University Of Auckland, Auckland, New Zealand Multigrid convergence of surface approxim...

In underdoped cuprate superconductors, the Fermi surface undergoes a reconstruction that produces a small electron pocket, but whether there is another, as yet, undetected portion to the Fermi surface is unknown. Establishing the complete topology of the Fermi surface is key to identifying the mechanism responsible for its reconstruction. Here we report evidence for a second Fermi pocket in und...

This paper develops a new approach to surface modeling and reconstruction which overcomes some important limitations of existing surface representation methods, such as their tendency to impose restrictive assumptions about object topology. The approach features two components. The first is a dynamic, self-organizing, oriented particle system which discovers topological and geometric surface st...

We report reconstruction geometries for the (110) surfaces of InSb. InAs, InP, GaSb, and AISb based on theoretical calculations on cluster models. The surface strains are in excellent accord with experiment and the trends in surface strains fit well with the Duke linear lattice constant correlation. Surface reconstruction energies are in the range of 1.1 to 1.3 eV. We also report the geometries...

Cortical surface reconstruction is important for functional brain mapping and morphometric analysis of the brain cortex. Several methods have been developed for the faithful reconstruction of surface models which represent the true cortical surface in both geometry and topology. However, there has been no explicit comparison study among those methods because each method has its own procedures, ...

One of the major challenges in Minimally Invasive Surgery (MIS) such as laparoscopy is the lack of depth perception. In recent years, laparoscopic scene tracking and surface reconstruction has been a focus of investigation to provide rich additional information to aid the surgical process and compensate for the depth perception issue. However, robust 3D surface reconstruction and augmented real...

Feature-based matching is commonly employed for object surface reconstruction in topographic and stereo close-range photogrammetry, but rarely in conjunction with convergent photogrammetric networks. This paper describes a new feature-based matching approach to automated 3D object reconstruction from highly convergent, multi-image networks. Geometric diversity and redundancy in the network desi...

We describe a new method for surface reconstruction and smoothing based on unorganized noisy point clouds without normals. The output of the method is a refined triangular mesh that approximates the original point cloud while preserving the fine details present in the underlying surface. The method has five steps: noise removal, clustering, data reduction, initial reconstruction, and mesh refin...

We present polynomial force reconstruction from experimental intermodulation atomic force microscopy (ImAFM) data. We study the tip-surface force during a slow surface approach and compare the results with amplitude-dependence force spectroscopy (ADFS). Based on polynomial force reconstruction we generate high-resolution surface-property maps of polymer blend samples. The polynomial method is d...

Two surface reconstruction patterns, strikingly different from the Au(111) intrinsic herringbone reconstruction, have been observed at the interfaces between Au(111) and the self-assembled monolayer of perylene or iron phthalocyanine by scanning tunneling microscopy (STM). These interfacial structures, elucidated by using the two-dimensional Frenkel-Kontorova model and density-functional theory...