Given a simple polygon constructed on a grid of equal-distanced points (i.e., points with integer coordinates) such that all the polygon's vertices… (More)

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2011

2011

- John Harrison
- Mathematical Structures in Computer Science
- 2011

We start by establishing the result for an elementary triangle: one whose vertices are lattice points and which contains no other… (More)

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2011

2011

- Q. I. Rahman, Q. I. Rahman
- 2011

Various derivative estimates for functions of exponential type in a half-plane are proved in this paper. The reader will also… (More)

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2010

2010

- Manya Raman
- 2010

We present two different proofs of Pick’s theorem and analyse in what ways might be perceived as beautiful by working… (More)

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2008

2008

- Tristan Roussillon, Isabelle Sivignon, Laure Tougne
- 2008 19th International Conference on Pattern…
- 2008

We propose a linear in time and easy-to-implement algorithm that robustly decomposes a digital curve into convex and concave… (More)

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2007

2007

- M. Ram Murty, Nithum Thain
- The American Mathematical Monthly
- 2007

ACKNOWLEDGMENTS This note was inspired by Brian Davies, who challenged Nick Trefethen at Oxford by pointing out that the… (More)

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2007

2007

We show that the Cappell–Shaneson version of Pick’s theorem for simple lattice polytopes is a consequence of a general relation… (More)

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2003

2003

- John E. McCarthy
- The American Mathematical Monthly
- 2003

Of course, finding the infimum is computationally harder than answering the question of whether the infimum is less than or equal… (More)

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2003

2003

- Beifang Chen, B. Chen
- 2003

This paper is to provide some new generalizations of the Pick Theorem. We first derive a point-set version of the Pick Theorem… (More)

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1998

1998

- Mihaly Agfalvi, Istvan Kadar, Erik Papp
- APL
- 1998

The Pick's theorem is one of the rare gems of elementarymathematics because this is a very innocent sounding hypothesisimply a… (More)

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1987

1987

- Ren Ding, John R. Reay
- J. Comb. Theory, Ser. A
- 1987

The tiling of the plane by unit squares is only one of the I I Archimedean tilings which use regular polygons and have only one… (More)

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