Box spline reconstruction on the face-centered cubic lattice

Minho Kim; Alireza Entezari; Jörg Peters

doi:10.1109/TVCG.2008.115

Box spline reconstruction on the face-centered cubic lattice

Minho Kim, Alireza Entezari, Jörg Peters

Department of Computer Science and Engineering

University of Florida

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6-direction box spline that is naturally associated with the FCC lattice and shares the continuity and approximation order of the triquadratic B-spline. We observe less aliasing for generic level sets and derive special techniques to attain the higher evaluation efficiency promised by the lower degree and smaller stencil-size of the C ¹ 6-direction box spline over the triquadratic B-spline.

Original language	English
Article number	4658171
Pages (from-to)	1523-1530
Number of pages	8
Journal	IEEE Transactions on Visualization and Computer Graphics
Volume	14
Issue number	6
DOIs	https://doi.org/10.1109/TVCG.2008.115
State	Published - Nov 2008

Keywords

Box spline
Face-centered cubic lattice
Volumetric data reconstruction

Access to Document

10.1109/TVCG.2008.115

Cite this

@article{d4e218550700470a8657a8ae5fa59b18,

title = "Box spline reconstruction on the face-centered cubic lattice",

abstract = "We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6-direction box spline that is naturally associated with the FCC lattice and shares the continuity and approximation order of the triquadratic B-spline. We observe less aliasing for generic level sets and derive special techniques to attain the higher evaluation efficiency promised by the lower degree and smaller stencil-size of the C 1 6-direction box spline over the triquadratic B-spline.",

keywords = "Box spline, Face-centered cubic lattice, Volumetric data reconstruction",

author = "Minho Kim and Alireza Entezari and J{\"o}rg Peters",

year = "2008",

month = nov,

doi = "10.1109/TVCG.2008.115",

language = "English",

volume = "14",

pages = "1523--1530",

journal = "IEEE Transactions on Visualization and Computer Graphics",

issn = "1077-2626",

publisher = "IEEE Computer Society",

number = "6",

}

TY - JOUR

T1 - Box spline reconstruction on the face-centered cubic lattice

AU - Kim, Minho

AU - Entezari, Alireza

AU - Peters, Jörg

PY - 2008/11

Y1 - 2008/11

N2 - We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6-direction box spline that is naturally associated with the FCC lattice and shares the continuity and approximation order of the triquadratic B-spline. We observe less aliasing for generic level sets and derive special techniques to attain the higher evaluation efficiency promised by the lower degree and smaller stencil-size of the C 1 6-direction box spline over the triquadratic B-spline.

AB - We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6-direction box spline that is naturally associated with the FCC lattice and shares the continuity and approximation order of the triquadratic B-spline. We observe less aliasing for generic level sets and derive special techniques to attain the higher evaluation efficiency promised by the lower degree and smaller stencil-size of the C 1 6-direction box spline over the triquadratic B-spline.

KW - Box spline

KW - Face-centered cubic lattice

KW - Volumetric data reconstruction

UR - https://www.scopus.com/pages/publications/54949086718

U2 - 10.1109/TVCG.2008.115

DO - 10.1109/TVCG.2008.115

M3 - Article

AN - SCOPUS:54949086718

SN - 1077-2626

VL - 14

SP - 1523

EP - 1530

JO - IEEE Transactions on Visualization and Computer Graphics

JF - IEEE Transactions on Visualization and Computer Graphics

IS - 6

M1 - 4658171

ER -

Box spline reconstruction on the face-centered cubic lattice

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this