Rotation 90 Degrees Formula
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Polyominoes
Author: Solomon W. Golomb
language: en
Publisher: Princeton University Press
Release Date: 2020-06-30
Inspiring popular video games like Tetris while contributing to the study of combinatorial geometry and tiling theory, polyominoes have continued to spark interest ever since their inventor, Solomon Golomb, introduced them to puzzle enthusiasts several decades ago. In this fully revised and expanded edition of his landmark book, the author takes a new generation of readers on a mathematical journey into the world of the deceptively simple polyomino. Golomb incorporates important, recent developments, and poses problems, inviting the reader to play with and develop an understanding of the extraordinary properties of polyominoes.
An Interdisciplinary Introduction to Image Processing
Basic principles of image processing and programming explained without college-level mathematics. This book explores image processing from several perspectives: the creative, the theoretical (mainly mathematical), and the programmatical. It explains the basic principles of image processing, drawing on key concepts and techniques from mathematics, psychology of perception, computer science, and art, and introduces computer programming as a way to get more control over image processing operations. It does so without requiring college-level mathematics or prior programming experience. The content is supported by PixelMath, a freely available software program that helps the reader understand images as both visual and mathematical objects. The first part of the book covers such topics as digital image representation, sampling, brightness and contrast, color models, geometric transformations, synthesizing images, stereograms, photomosaics, and fractals. The second part of the book introduces computer programming using an open-source version of the easy-to-learn Python language. It covers the basics of image analysis and pattern recognition, including edge detection, convolution, thresholding, contour representation, and K-nearest-neighbor classification. A chapter on computational photography explores such subjects as high-dynamic-range imaging, autofocusing, and methods for automatically inpainting to fill gaps or remove unwanted objects in a scene. Applications described include the design and implementation of an image-based game. The PixelMath software provides a “transparent” view of digital images by allowing the user to view the RGB values of pixels by zooming in on an image. PixelMath provides three interfaces: the pixel calculator; the formula page, an advanced extension of the calculator; and the Python window.
First LEGO League
Author: James Floyd Kelly
language: en
Publisher: "O'Reilly Media, Inc."
Release Date: 2012-07-09
FIRST LEGO League (FLL) is an international program for kids ages 9 to 14 that combines a hands-on, interactive robotics program and research presentation with a sports-like atmosphere. Authors James Floyd Kelly and Jonathan Daudelin-both participants in numerous FIRST LEGO League competitions-have teamed up to bring coaches, teachers, parents, and students an all-in-one guide to FLL. Written for both rookie and experienced teams, FIRST LEGO League: The Unofficial Guide includes in-depth coverage of topics like team formation and organization, robot building and programming, and the basics of getting involved with FLL. Before the authors delve into the specifics of robot and team building, they reveal the fascinating history of the FIRST organization and the sometimes puzzling structure of the FLL competition. Using a combination of real-life stories and candid commentary from actual FLL teams, as well as recollections of their own experiences, they offer an abundance of helpful guidance and dependable building and programming examples. FIRST LEGO League: The Unofficial Guide explores the complex workings and structure of the FLL competition, including its four key components: Robot Game, Technical Interview, Project, and Teamwork. You'll learn how to: Organize, recruit, and manage a team Find equipment, mentors, and funding Design, build, and program winning robots Tackle each of the four FLL components-from Robot Game to Teamwork Use strategies and techniques from FLL masters to increase your scores No matter what your role in the FLL competition, FIRST LEGO League: The Unofficial Guide will make you a better competitor, builder, designer, and team member. The only ingredient you need to add is your competitive spirit!