Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Optical Computational Geometry: Solving problems of computational geometry by means of geometric constructions performed optically

Optical Computational Geometry: Solving problems of computational geometry by means of geometric constructions performed optically

Karasik, Yevgeny B.

Paperback

General Computers

ISBN10: 1687754926
ISBN13: 9781687754929
Publisher: Independently Published
Published: Aug 31 2019
Pages: 154
Weight: 1.13
Height: 0.40 Width: 8.50 Depth: 11.00
Language: English
Geometric problems can be solved in two ways, by calculating the solution or by its construction. The classical means of geometric constructions, the straight edge/ruler and the compass, are very limited in their capabilities. Most geometric problems cannot be solved by constructing the solution with their help. That is why until recently they were solved numerically with the help of algorithms of Computational Geometry. However advances in optical technology allowed solving them through the step-by-step formation of an optical image of the solution. Such image formation is nothing other than its step-by-step construction by optical means. Just not a ruler and a compass are used to draw a solution on a piece of paper, but optical devices are used to step-by-step transform the images of the given figures (represented as optical transparencies) into an image of the solution to a problem. This book is an introduction to the theory of such geometric constructions with the help of optical devices. It presents step-by-step procedures for transforming the light-wave images of given figures into images of solutions to various geometric problems. Such procedures are dubbed optical algorithms in the book. The book is thereby the first presentation of the theory of optical algorithms.

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