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Erschienen in:
2015 | OriginalPaper | Buchkapitel
Generation of Random Digital Curves Using Combinatorial Techniques
verfasst von : Apurba Sarkar, Arindam Biswas, Mousumi Dutt, Arnab Bhattacharya
Erschienen in: Algorithms and Discrete Applied Mathematics
Verlag: Springer International Publishing
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A fast linear-time algorithm to generate non-intersecting closed random orthogonal (4-connected) digital curves of finite length imposed on a background grid is proposed in this paper. A novel timestamp-based combinatorial technique is used so that the curve grows freely without intersecting itself. The combintaorial constraints are further modified to generate 8-connected digital curves. The time complexity of the algorithm is linear in length of the curve, as decisions are made locally based on current-neighbourhood points of the digital curve. The algorithm has been implemented and tested exhaustively and an analysis of the results is also presented.