Polyominoes defined by two vectors
Theoretical Computer Science
A calculus for the random generation of labelled combinatorial structures
Theoretical Computer Science
Generating convex polyominoes at random
FPSAC '93 Proceedings of the 5th conference on Formal power series and algebraic combinatorics
Reconstructing convex polyominoes from horizontal and vertical projections
Theoretical Computer Science
Reconstructing hv-convex polyominoes from orthogonal projections
Information Processing Letters
The reconstruction of polyominoes from their orthogonal projections
Information Processing Letters
Generation and reconstruction of hv-convex 8-connected discrete sets
Acta Cybernetica
Watermelon uniform random generation with applications
Theoretical Computer Science - Random generation of combinatorial objects and bijective combinatorics
Reconstruction of 8-connected but not 4-connected hv-convex discrete sets
Discrete Applied Mathematics - Special issue: Advances in discrete geometry and topology (DGCI 2003)
An evolutionary algorithm for discrete tomography
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
Optimization and reconstruction of hv-convex (0, 1)-matrices
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
Advances in Discrete Tomography and Its Applications (Applied and Numerical Harmonic Analysis)
Advances in Discrete Tomography and Its Applications (Applied and Numerical Harmonic Analysis)
A genetic algorithm for discrete tomography reconstruction
Genetic Programming and Evolvable Machines
Theoretical Computer Science
On the number of hv-convex discrete sets
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
A memetic algorithm for binary image reconstruction
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
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In this paper we summarize the most important generation methods developed for the subclasses of hv-convex discrete sets. We also present some new generation techniques to complement the former ones thus making it possible to design a complete benchmark set for testing the performance of reconstruction algorithms on the class of hv-convex discrete sets and its subclasses. By using this benchmark set the paper also collects several statistics on hv-convex discrete sets, which are of great importance in the analysis of algorithms for reconstructing such kinds of discrete sets.