Statistical shape analysis applied to microlithography

被引:0
|
作者
Micheletti, Alessandra [1 ]
Severgnini, Ermes [2 ]
Terragni, Filippo [1 ]
Vasconi, Mauro [2 ]
机构
[1] Univ Milan, Dipartimento Matemat, Via C Saldini,50, I-20133 Milan, Italy
[2] STMicroelect Srl, I-20041 Agrate Brianza, Italy
关键词
shape descriptor; size function; statistical shape analysis;
D O I
10.1117/12.653037
中图分类号
TH7 [仪器、仪表];
学科分类号
0804 ; 080401 ; 081102 ;
摘要
In this paper we introduce recent mathematical tools for shape description called size functions. Some features of these descriptors such as robustness with respect to noise are pointed out. A first attempt to join the theory of size functions with randomness and to develop the related statistical analysis is then presented. The resulting procedure is applied to some specific problems which arise in microlithography of electronic devices.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Statistical shape analysis applied to automatic recognition of tumor cells
    Micheletti, A
    [J]. Fractals in Biology and Medicine, Vol IV, 2005, : 165 - 174
  • [2] Size functions applied to the statistical shape analysis and classification of tumor cells
    Micheletti, Alessandra
    Landini, Gabriel
    [J]. PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2006, 2008, 12 : 538 - +
  • [3] Statistical shape analysis
    Dean, D
    [J]. JOURNAL OF HUMAN EVOLUTION, 2000, 38 (03) : 455 - 457
  • [4] ANALYSIS OF APPLIED STATISTICAL SOFTWARE
    PETROVICH, ML
    [J]. INDUSTRIAL LABORATORY, 1985, 51 (10): : 907 - 917
  • [5] Differential shape statistical analysis
    Chen, Yufeng
    Zhang, Mandun
    Lu, Peng
    Wang, Yangsheng
    [J]. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2007, 5 (01) : 145 - 157
  • [6] Statistical shape modelling for the analysis of head shape variations
    Heutinck, Pam
    Knoops, Paul
    Rodriguez Florez, Naiara
    Biffi, Benedetta
    Breakey, William
    James, Greg
    Koudstaal, Maarten
    Schievano, Silvia
    Dunaway, David
    Jeelani, Owase
    Borghi, Alessandro
    [J]. JOURNAL OF CRANIO-MAXILLOFACIAL SURGERY, 2021, 49 (06) : 449 - 455
  • [7] STATISTICAL DESIGN AND ANALYSIS OF SHAPE STUDIES
    SNEE, RD
    ANDREWS, HP
    [J]. BIOMETRICS, 1968, 24 (04) : 1040 - &
  • [8] THE STATISTICAL-ANALYSIS OF SHAPE DATA
    MARDIA, KV
    DRYDEN, IL
    [J]. BIOMETRIKA, 1989, 76 (02) : 271 - 281
  • [9] Bioequivalence testing by statistical shape analysis
    Pereira, Luis Marcelo
    [J]. JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS, 2007, 34 (04) : 451 - 484
  • [10] STATISTICAL DESIGN AND ANALYSIS OF SHAPE STUDIES
    SNEE, RD
    ANDREWS, HP
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 1971, 20 (03) : 250 - +