815 of CG g 2 (r , y) can be speeded up by a preprocessing like that for (13). We have decided not to lengthen this correspondence by the tedious derivation of this time-saving technique. We instead simply state our result that g 2 (s. y) can be evaluated in O(1) time for any given G with an O (161) preprocessing and O ([GI) space. time, the worst-case time complexity of the ROFS algorithm-aide...

In reconstructing 3-D from images based on feature points, one usually defines a triangular mesh that has these feature points as vertices and displays the scene as a polyhedron. If the scene itself is a polyhedron, however, some of the displayed edges may be inconsistent with the true shape. This paper presents a new technique for automatically detecting and eliminating such inconsistencies by...

We explore the effects of various basic atomic processes on the island shapes of diffusion-limited-aggregate growth on a triangular lattice using kinetic Monte Carlo simulation. Edge diffusion and bond-reducing relaxation of double-coordinated adatoms, as well as single-coordinated adatoms, are proved to be essential to the island shape transition from fractal to irregularly compact and from ir...

We present a novel approach to morph between two isometric poses of the same non-rigid object given as triangular meshes. We model morphs as linear interpolations in a suitable shape space S. For triangulated 3D polygons, we prove that interpolating linearly in this shape space corresponds to the most isometric morph in R. We then extend this shape space to arbitrary triangulations in 3D using ...

in this paper, some elementary operations on triangular fuzzynumbers (tfns) are defined. we also define some operations on triangularfuzzy matrices (tfms) such as trace and triangular fuzzy determinant(tfd). using elementary operations, some important properties of tfms arepresented. the concept of adjoints on tfm is discussed and some of theirproperties are. some special types of tfms (e.g. pu...

The shape of interfacial voids formed in the epitaxial SiC/Si(111) heterosystem just underneath the SiC film has been investigated using optical microscopy and transmission electron microscopy (TEM). SiC films are grown on Si(111) substrates at two different substrate temperatures (specimen type 1 at 850°C, specimen type 2 at 1050°C) using solid-source molecular-beam epitaxy (MBE). At 850°C sub...

Background The shape morphology using 3D surface models has been recently emerged for biomechanics research, such as the quantitative assessment of bone deformity with clinical factors [1] and the correlation analysis between bone shape and joint motion [2]. In the bone shape morphology, the morphological difference of the bones across subjects is quantified by the geometric measures, such as t...

PURPOSE This study examined the factors that can be associated with the appearance of the interproximal papilla. METHODS One hundred and forty-seven healthy interproximal papillae between the maxillary central incisors were examined. For each subject, a digital photograph and periapical radiograph of the interdental embrasure were taken using a 1-mm grid metal piece. The following parameters ...

The As-Rigid-As-Possible (ARAP) shape deformation framework is a versatile technique for morphing, surface modelling, and mesh editing. We discuss an improvement of the ARAP framework in a few aspects: 1. Given a triangular mesh in 3D space, we introduce a method to associate a tetrahedral structure, which encodes the geometry of the original mesh. 2. We use a Lie algebra based method to interp...

In reconstructing 3-D from images based on feature points, one usually defines a triangular mesh that has these feature points as vertices and displays the scene as a polyhedron. If the scene itself is a polyhedron, however, some of the displayed edges may be inconsistent with the true shape. This paper presents a new technique for automatically eliminating such inconsistencies by using a speci...