DIMENSIONAL MEASUREMENT OF SURFACES AND THEIR SAMPLING

被引:51
作者
WOO, TC
LIANG, R
机构
[1] Department of Industrial and Operations Engineering, University of Michigan, Ann Arbor, MI 48109-2117
关键词
COORDINATE MEASUREMENT; OPTICAL SCANNING; SURFACE ROUGHNESS; LOW-DISCREPANCY POINT SETS;
D O I
10.1016/0010-4485(93)90054-R
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
The number of the discrete samples for the dimensional measurement of machined surfaces and their coordinates is investigated. Counter to intuition, there need not be quadratically more samples than in the case for sampling lines or curves. To justify this novel scheme, accuracy is defined as the discrepancy of a finite point set. Then, from number theory, a particular sequence of numbers is used to compute the sampling coordinates, resulting in a number that is linear in 1D, at the same level of accuracy that is achieved by a 2D uniform distribution. Finally, experimental results of the measurement of machined surfaces modeled as random processes are compiled.
引用
收藏
页码:233 / 239
页数:7
相关论文
共 33 条
[1]  
[Anonymous], 1996, STOCHASTIC PROCESSES
[2]  
ANTHONY GT, 1985, SEP P C SOFTW COORD, P30
[3]  
CASKEY G, 1992, P NSF DESIGN MANUFAC, P779
[4]  
CHETWYND, 1985, SEP P C SOFTW COORD, P24
[5]  
CIPRA BA, 1991, AAAS SCI, P165
[7]  
Farin G., 2014, CURVES SURFACES COMP
[9]   MODELING AND REPRESENTATION OF DIMENSIONS AND TOLERANCES - A SURVEY [J].
JUSTER, NP .
COMPUTER-AIDED DESIGN, 1992, 24 (01) :3-17
[10]  
Kuipers L., 1974, UNIFORM DISTRIBUTION