Discrete analytical hyperplanes

被引:90
作者
Andres, E
Acharya, R
Sibata, C
机构
[1] SUNY BUFFALO, ECE DEPT, BUFFALO, NY 14260 USA
[2] ROSWELL PK CANC INST, DEPT RADIAT MED, BUFFALO, NY 14263 USA
来源
GRAPHICAL MODELS AND IMAGE PROCESSING | 1997年 / 59卷 / 05期
关键词
D O I
10.1006/gmip.1997.0427
中图分类号
TP31 [计算机软件];
学科分类号
081202 [计算机软件与理论]; 0835 [软件工程];
摘要
This paper presents the properties of the discrete analytical hyperplanes. They are defined analytically in the discrete domain by Diophantine equations. We show that the discrete hyperplane is a generalization of the classical digital hyperplanes. We present original properties such as exact point localization and space thing. The main result is the links made between the arithmetical thickness of a hyperplane and its topology. (C) 1997 Academic Press.
引用
收藏
页码:302 / 309
页数:8
相关论文
共 22 条
[1]
COMPUTER-ASSISTED SURGERY [J].
ADAMS, L ;
KRYBUS, W ;
MEYEREBRECHT, D ;
RUEGER, R ;
GILSBACH, JM ;
MOESGES, R ;
SCHLOENDORFF, G .
IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1990, 10 (03) :43-51
[2]
DISCRETE CIRCLES, RINGS AND SPHERES [J].
ANDRES, E .
COMPUTERS & GRAPHICS, 1994, 18 (05) :695-706
[3]
ANDRES E, 1996, SPIES INT S MED IM 9, V2707, P580
[4]
ANDRES E, UNPUB IEEE TVCG
[5]
LINEAR ALGORITHM FOR INCREMENTAL DIGITAL DISPLAY OF CIRCULAR ARCS [J].
BRESENHAM, J .
COMMUNICATIONS OF THE ACM, 1977, 20 (02) :100-106
[6]
ALGORITHM FOR COMPUTER CONTROL OF A DIGITAL PLOTTER [J].
BRESENHAM, JE .
IBM SYSTEMS JOURNAL, 1965, 4 (01) :25-30
[7]
COATRIEUX JL, 1990, NATO ADV SCI I F-COM, V60, P175
[8]
Cohen-Or Daniel, 1993, Comput. Graph. Forum, V12, P363
[9]
DEBLEDRENESSON I, 1994, SPIE VISION GEOMETRY, V2356
[10]
DEBLEDRENESSON I, 1994, 4 DISCR GEOM COMP IM