Procedural Generation of Artistic Patterns Using a Modified Orbit Trap Method

In the literature, we can find various methods for generating artistic patterns. One of the methods is the orbit trap method. In this paper, we propose various modifications of a variant of the orbit trap method that generates patterns with wallpaper symmetry. The first modification relies on replacing the Picard iteration (used in the original method) with the S-iteration known from the fixed point theory. Moreover, we extend the parameters in the S-iteration from scalar to vector ones. In the second modification, we replace the Euclidean metric used in the orbit traps with other metrics. Finally, we propose three new orbit traps. The presented examples show that using the proposed method, we are able to obtain a great variety of interesting patterns. Moreover, we show that a proper selection of the orbit traps and the mapping used by the method can lead to patterns that possess a local fractal structure.Natural Science Foundation of China grant number 6206204

Modelling RF sheath dynamics for fusion applications

C

Reports to the President

A compilation of annual reports for the 1989-1990 academic year, including a report from the President of the Massachusetts Institute of Technology, as well as reports from the academic and administrative units of the Institute. The reports outline the year's goals, accomplishments, honors and awards, and future plans

Central Washington University 2018-2019 Undergraduate Catalog

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College of Arts and Sciences

Cornell University Courses of Study Vol. 96 2004/200

College of Arts and Sciences

Cornell University Courses of Study Vol. 96 2004/200