Vector Construction Techniques for Circle Packing
نویسندگان
چکیده
منابع مشابه
Recursive circle packing problems
This paper presents a class of packing problems where circles may be placed either inside or outside other circles, the whole set being packed in a rectangle. This corresponds to a practical problem of packing tubes in a container; before being inserted in the container, tubes may be put inside other tubes in a recursive fashion. A variant of the greedy randomized adaptive search procedure is p...
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Circle packing can be seen as the art of placing tangent circles on the plane, leaving as little unoccupied space as possible. Circle packing is a very attractive field of mathematics, from several points of view. It contains interesting and complex questions, both mathematical and algorithmical, and keeps its properties through a wide range of geometric transformations. There are several ways ...
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A circle packing is a configuration P of circles realizing a specified pattern of tangencies. Radii of packings in the euclidean and hyperbolic planes may be computed using an iterative process suggested by William Thurston. We describe an efficient implementation, discuss its performance, and illustrate recent applications. A central role is played by new and subtle monotonicity results for “f...
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We present an interactive tool for visualizing and experimenting with different circle packing algorithms. 1998 ACM Subject Classification F.2.2 Nonnumerical Algorithms and Problems—Geometrical problems and computations.
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Packing rings into a minimum number of rectangles is an optimization problem which appears naturally in the logistics operations of the tube industry. It encompasses two major difficulties, namely the positioning of rings in rectangles and the recursive packing of rings into other rings. This problem is known as the Recursive Circle Packing Problem (RCPP). We present the first exact method for ...
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ژورنال
عنوان ژورنال: Computer-Aided Design and Applications
سال: 2018
ISSN: 1686-4360
DOI: 10.14733/cadaps.2019.413-428