Isosurface Construction from a Data Set Sampled on a Face-centered-cubic Lattice
نویسندگان
چکیده
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-cubic lattice is theoretically optimum in terms of the density of the lattice points among the variety of sampling method. The isosurface on a face-centered-cubic lattice constructed by the proposed method is well approximated as a polyhedron by means of linear interpolation. Isosurfaces are constructed by the proposed method and by current ones in order to compare the properties of the surfaces. It was thus shown that the proposed method is more effective in terms of smoothness in appearance of isosurfaces. keywords: Isosurface construction, Face-centered-cubic lattice, Marching Cubes, Implicit surface
منابع مشابه
A marching algorithm for isosurface extraction from face-centered cubic lattices
This work provides a novel method that extracts isosurfaces from face-centered cubic (FCC) lattices. It has been theoretically shown that sampling volumetric data on an FCC lattice tiled with rhombic dodecahedra is more efficient than sampling them on a Cartesian lattice tiled with cubes, in that the FCC lattice can represent the same data set as a Cartesian lattice with the same accuracy, yet ...
متن کاملVisual Fidelity of 3d Regular Sampling and Reconstruction
For generic 3D sampling, the Body Centered Cubic (BCC) lattice and the Face Centered Cubic (FCC) lattice are significantly superior to the traditionally popular Cartesian Cubic (CC) lattice. Motivated by the goal of high visual fidelity in the visualization community, this thesis investigates the relative perceptual merits of high quality reconstruction filters for CC, BCC, and FCC sampled data...
متن کاملCentered Cubic Lattice Method Comparison
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 Hausdorf...
متن کاملAn Irregular Lattice Pore Network Model Construction Algorithm
Pore network modeling uses a network of pores connected by throats to model the void space of a porous medium and tries to predict its various characteristics during multiphase flow of various fluids. In most cases, a non-realistic regular lattice of pores is used to model the characteristics of a porous medium. Although some methodologies for extracting geologically realistic irregular net...
متن کامل