Linear and Cubic Box Splines for the Body Centered Cubic Lattice
VIS '04 Proceedings of the conference on Visualization '04
Lattice-Based Volumetric Global Illumination
IEEE Transactions on Visualization and Computer Graphics
Practical Box Splines for Reconstruction on the Body Centered Cubic Lattice
IEEE Transactions on Visualization and Computer Graphics
Optimal sampling lattices and trivariate box splines
Optimal sampling lattices and trivariate box splines
Box Spline Reconstruction On The Face-Centered Cubic Lattice
IEEE Transactions on Visualization and Computer Graphics
Efficient LBM Visual Simulation on Face-Centered Cubic Lattices
IEEE Transactions on Visualization and Computer Graphics
Toward High-Quality Gradient Estimation on Regular Lattices
IEEE Transactions on Visualization and Computer Graphics
Symmetric box-splines on root lattices
Journal of Computational and Applied Mathematics
IEEE Transactions on Information Theory
| Hi-index | 0.00 |
This paper presents an efficient and accurate isosurface rendering algorithm for the natural C^1 splines on the face-centered cubic (FCC) lattice. Leveraging fast and accurate evaluation of a spline field and its gradient, accompanied by efficient empty-space skipping, the approach generates high-quality isosurfaces of FCC datasets at interactive speed (20-70fps). The pre-processing computation (quasi-interpolation and min/max cell construction) is improved 20-30-fold by OpenCL kernels. In addition, a novel indexing scheme is proposed that allows an FCC dataset to be stored as a four-channel 3D texture. When compared with other reconstruction schemes on the Cartesian and BCC (body-centered cubic) lattices, this method can be considered a practical reconstruction scheme that offers both quality and performance. The OpenCL and GLSL (OpenGL Shading Language) source codes are provided as a reference.