Implementing the L∞ segment Voronoi diagram in CGAL and applying in VLSI pattern analysis

Panagiotis Cheilaris; Sandeep Kumar Dey; Maria Gabrani; Evanthia Papadopoulou

doi:10.1007/978-3-662-44199-2_32

Implementing the L_∞ segment Voronoi diagram in CGAL and applying in VLSI pattern analysis

Panagiotis Cheilaris, Sandeep Kumar Dey, Maria Gabrani, Evanthia Papadopoulou

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

In this work we present a CGAL (Computational Geometry Algorithm Library) implementation of the line segment Voronoi diagram under the L_∞ metric, building on top of the existing line segment Voronoi diagram under the Euclidean (L₂) metric in CGAL. CGAL is an open-source collection of geometric algorithms implemented in C++, used in both academia and industry. We also discuss an application of the L_∞ segment Voronoi diagram in the area of VLSI pattern analysis. In particular, we identify potentially critical locations in VLSI design patterns, where a pattern, when printed, may differ substantially from the original intended VLSI design, improving on existing methods.

Original language	English
Title of host publication	Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings
Publisher	Springer Verlag
Pages	198-205
Number of pages	8
ISBN (Print)	9783662441985
DOIs	https://doi.org/10.1007/978-3-662-44199-2_32
State	Published - 1 Jan 2014
Externally published	Yes
Event	4th International Congress on Mathematical Software, ICMS 2014 - Seoul, Korea, Republic of Duration: 5 Aug 2014 → 9 Aug 2014

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	8592 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	4th International Congress on Mathematical Software, ICMS 2014
Country/Territory	Korea, Republic of
City	Seoul
Period	5/08/14 → 9/08/14

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-662-44199-2_32

Cite this

Cheilaris, P., Dey, S. K., Gabrani, M., & Papadopoulou, E. (2014). Implementing the L_∞ segment Voronoi diagram in CGAL and applying in VLSI pattern analysis. In Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings (pp. 198-205). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8592 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-662-44199-2_32

Cheilaris, Panagiotis ; Dey, Sandeep Kumar ; Gabrani, Maria et al. / Implementing the L_∞ segment Voronoi diagram in CGAL and applying in VLSI pattern analysis. Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings. Springer Verlag, 2014. pp. 198-205 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{a3d50133837c4734846d1f7f6cc08df4,

title = "Implementing the L∞ segment Voronoi diagram in CGAL and applying in VLSI pattern analysis",

abstract = "In this work we present a CGAL (Computational Geometry Algorithm Library) implementation of the line segment Voronoi diagram under the L∞ metric, building on top of the existing line segment Voronoi diagram under the Euclidean (L2) metric in CGAL. CGAL is an open-source collection of geometric algorithms implemented in C++, used in both academia and industry. We also discuss an application of the L∞ segment Voronoi diagram in the area of VLSI pattern analysis. In particular, we identify potentially critical locations in VLSI design patterns, where a pattern, when printed, may differ substantially from the original intended VLSI design, improving on existing methods.",

author = "Panagiotis Cheilaris and Dey, {Sandeep Kumar} and Maria Gabrani and Evanthia Papadopoulou",

year = "2014",

month = jan,

day = "1",

doi = "10.1007/978-3-662-44199-2_32",

language = "English",

isbn = "9783662441985",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "198--205",

booktitle = "Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings",

address = "Germany",

note = "4th International Congress on Mathematical Software, ICMS 2014 ; Conference date: 05-08-2014 Through 09-08-2014",

}

Cheilaris, P, Dey, SK, Gabrani, M & Papadopoulou, E 2014, Implementing the L_∞ segment Voronoi diagram in CGAL and applying in VLSI pattern analysis. in Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8592 LNCS, Springer Verlag, pp. 198-205, 4th International Congress on Mathematical Software, ICMS 2014, Seoul, Korea, Republic of, 5/08/14. https://doi.org/10.1007/978-3-662-44199-2_32

Implementing the L_∞ segment Voronoi diagram in CGAL and applying in VLSI pattern analysis. / Cheilaris, Panagiotis; Dey, Sandeep Kumar; Gabrani, Maria et al.
Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings. Springer Verlag, 2014. p. 198-205 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8592 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Implementing the L∞ segment Voronoi diagram in CGAL and applying in VLSI pattern analysis

AU - Cheilaris, Panagiotis

AU - Dey, Sandeep Kumar

AU - Gabrani, Maria

AU - Papadopoulou, Evanthia

PY - 2014/1/1

Y1 - 2014/1/1

N2 - In this work we present a CGAL (Computational Geometry Algorithm Library) implementation of the line segment Voronoi diagram under the L∞ metric, building on top of the existing line segment Voronoi diagram under the Euclidean (L2) metric in CGAL. CGAL is an open-source collection of geometric algorithms implemented in C++, used in both academia and industry. We also discuss an application of the L∞ segment Voronoi diagram in the area of VLSI pattern analysis. In particular, we identify potentially critical locations in VLSI design patterns, where a pattern, when printed, may differ substantially from the original intended VLSI design, improving on existing methods.

AB - In this work we present a CGAL (Computational Geometry Algorithm Library) implementation of the line segment Voronoi diagram under the L∞ metric, building on top of the existing line segment Voronoi diagram under the Euclidean (L2) metric in CGAL. CGAL is an open-source collection of geometric algorithms implemented in C++, used in both academia and industry. We also discuss an application of the L∞ segment Voronoi diagram in the area of VLSI pattern analysis. In particular, we identify potentially critical locations in VLSI design patterns, where a pattern, when printed, may differ substantially from the original intended VLSI design, improving on existing methods.

UR - http://www.scopus.com/inward/record.url?scp=84905869138&partnerID=8YFLogxK

U2 - 10.1007/978-3-662-44199-2_32

DO - 10.1007/978-3-662-44199-2_32

M3 - Conference contribution

AN - SCOPUS:84905869138

SN - 9783662441985

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 198

EP - 205

BT - Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings

PB - Springer Verlag

T2 - 4th International Congress on Mathematical Software, ICMS 2014

Y2 - 5 August 2014 through 9 August 2014

ER -

Cheilaris P, Dey SK, Gabrani M, Papadopoulou E. Implementing the L_∞ segment Voronoi diagram in CGAL and applying in VLSI pattern analysis. In Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings. Springer Verlag. 2014. p. 198-205. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-662-44199-2_32