Discrete Topology of (An*) Optimal Sampling Grids. Interest in Image Processing and Visualization

被引：0

作者：

Chafiaâ Hamitouche

Luis Ibáñez

Christian Roux

机构：

[1] LATIM INSERM U650 GET-ENST Bretagne,Département Image et Traitement de l’Information

[2] Kitware Inc.,Département Image et Traitement de l’Information

[3] LATIM INSERM U650 GET-ENST Bretagne,undefined

来源：

Journal of Mathematical Imaging and Vision | 2005年 / 23卷

关键词：

discrete topology; multidimensional optimal sampling; compact grids; medical imaging;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A formal definition of a combinatorial topology is presented in this paper for the discrete N-dimensional space defined by the An* lattice. The use of this grid instead of the classical ℤn is based on two arguments: It is the optimal sampling grid in the sense of Shannon’s sampling theorem in 2 and 3 dimensions,It induces the simplest discrete topology definition because its dual is a K-simplex.

引用

页码：401 / 417

页数：16

共 4 条

[1] Discrete topology of An* optimal sampling grids.: Interest in image processing and visualization
Hamitouche, C
Ibáñez, L
Roux, C
JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2005, 23 (03) : 401 - 417
[2] Research on remote sensing image processing based on discrete global grids
Zhang Shengmao
Zhou Sufang
Lv Zhenhua
Zhao Hui
SIXTH INTERNATIONAL SYMPOSIUM ON DIGITAL EARTH: DATA PROCESSING AND APPLICATIONS, 2010, 7841
[3] AN OPTIMAL DESIGN OF FIR FILTERS WITH DISCRETE COEFFICIENTS AND IMAGE SAMPLING APPLICATION
Kha, H. H.
Tuan, H. D.
Nguyen, T. Q.
2011 18TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING (ICIP), 2011, : 93 - 96
[4] Optimal image sampling schedule: A new effective way to reduce dynamic image storage space and functional image processing time
Li, XJ
Feng, DG
Chen, KW
IEEE TRANSACTIONS ON MEDICAL IMAGING, 1996, 15 (05) : 710 - 719

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