منابع مشابه
A Smooth Space of Tetrahedra
We construct a smooth symmetric compactification of the space of all labeled tetrahedra in P.
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We show it is possible to tile three-dimensional space using only tetrahedra with acute dihedral angles. We present several constructions to achieve this, including one in which all dihedral angles are less than 77.08◦, and another which tiles a slab in space. 1 Problem definition Triangulations of two and three-dimensional domains find numerious applications in scientific computing, computer g...
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Extending a similar result about triangles, we show that each Heronian tetrahedron may be positioned with integer coordinates. More generally, we show the following: if an integral distance set in R can be positioned with rational coordinates, then it can in fact be positioned with integer coordinates. The proof, which uses the arithmetic of quaternions, is tantamount to an algorithm.
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We present a purely image-based rendering system to viewpoint-navigate through space and time of arbitrary dynamic scenes. Unlike previous methods, our approach does not rely on synchronized and calibrated multi-video footage as input. Instead of estimating scene depth or reconstructing 3D geometry, our approach is based on dense image correspondences, treating view interpolation equally in spa...
متن کاملThe Natural Function Space for the Triangle and Tetrahedra
The success of the classical formulation of the spectral element method lies in the choice of functional space, grid points, and method of integration. On the quadrilateral, the prefered space is a tensor product basis of Legendre polynomials, P 2 = fspan(x n y m)j0 m N; 0 n Ng: (1) The grid points are chosen as the Gauss-Lobatto-Legendre points, which lead to an accurate, well-behaved interpol...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2002
ISSN: 0001-8708
DOI: 10.1006/aima.2001.2029