Centered Cubic Lattice Method Comparison
نویسنده
چکیده
The Centered Cubic Lattice method is used for an iso-surface extraction. This paper focuses on its comparison with other fundamental methods (Marching Cubes, Marching Tetrahedra) that are also used to extract an iso-surface from regular volume data. Iso-surfaces that are generated using above mentioned methods and mathematical data are compared due to area and volume approximation. The Hausdorff and RMS distances are also utilized for comparisons. Also all possible cell tessellations into 6 tetrahedra are discussed and analyzed. We think that such a comparison can be helpful to decide which of tested methods should be chosen when we have concrete demands concerning the iso-surface. Also newly developed methods can be compared with existing ones in the similar way.
منابع مشابه
Isosurface Construction from a Data Set Sampled on a Face-centered-cubic Lattice
A method for constructing the isosurface from a data set on a face-centered-cubic lattice has been developed. Generally, a three-dimensional scalar field is sampled on an orthogonal cubic lattice. And an algorithm called Marching Cubes is widely used for constructing the isosurface on this lattice. It is known, however, that data sampling of a three-dimensional scalar field on a face-centered-c...
متن کاملOn Finite Difference Schemes for the 3-d Wave Equation Using Non-cartesian Grids
In this paper, we investigate finite difference schemes for the 3-D wave equation using 27-point stencils on the cubic lattice, a 13-point stencil on the face-centered cubic (FCC) lattice, and a 9-point stencil on the body-centered cubic (BCC) lattice. The tiling of the wavenumber space for nonCartesian grids is considered in order to analyse numerical dispersion. Schemes are compared for compu...
متن کاملThe effects of next to nearest neighbor hopping on Bose- Einstein condensation in cubic lattices
Abstract. In this paper, we present results of our calculations on the effects of next to nearest neighbor boson hopping (t′) energy on Bose-Einstein condensation in cubic lattices. We consider both non-interacting and repulsively interacting bosons moving in the lowest Bloch band. The interacting bosons are studied making use of the Bogoliubov method. We find that the bose condensation tempera...
متن کاملA simulation study of the electrostriction effects in dielectric elastomer composites containing polarizable inclusions with different spatial distributions.
Controlled actuation of electroactive polymers with embedded high dielectric nanoparticles is theoretically analyzed. If the inclusions are placed randomly in the elastomer body, the composite always contracts along the direction of the applied field. For a simple cubic distribution of inclusions, contraction occurs if the applied field is directed along the [001] direction of the lattice. For ...
متن کاملLattice Green's Functions of the Higher-Dimensional Face-Centered Cubic Lattices
We study the lattice Green’s functions of the face-centered cubic lattice (fcc) in up to six dimensions. We give computer algebra proofs of results that were conjectured by Guttmann and Broadhurst for the fourand fivedimensional fcc lattices. Additionally we derive a differential equation for the lattice Green’s function of the six-dimensional fcc lattice, a result that was not believed to be a...
متن کامل