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Geometry for Programmers
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- Master the math behind CAD, game engines, GIS, and more! This hands-on book teaches you the geometry used to create simulations, 3D prints, and other models of the physical world.In Geometry for Programmers you will learn how to:Speak the language of applied geometryCompose geometric transformations economicallyCraft custom splines for efficient curves and surface generationPick and implement the right geometric transformationsConfidently use important algorithms that operate on triangle meshes, distance functions, and voxelsGeometry for Programmers guides you through the math behind graphics and modeling tools. It’s full of practical examples and clear explanations that make sense even if you don’t have a background in advanced math. You’ll learn how basic geometry can help you avoid code layering and repetition, and even how to drive down cloud hosting costs with more efficient runtimes. Cheerful language, charts, illustrations, equations, and Python code help make geometry instantly relevant to your daily work as a developer.About the Technology Geometry is at the heart of game engines, robotics, computer-aided design, GIS, and image processing. This book draws back what is for some a mathematical curtain, giving them insight and control over this central tool. You’ll quickly see how a little geometry can help you design realistic simulations, translate the physical world into code, and even reduce your cloud services bill by improving the efficiency of graphics-intensive applications.About the Book Geometry for Programmers is both practical and entertaining. Fun illustrations and engaging examples show you how to apply geometry to real programming problems, like changing a scan into a CAD model or developing 3D printing contours from a parametric function. And don’t worry if you aren’t a math expert. There’s no heavy theory, and you’ll learn how to offload most equations to the SymPy computer algebra system.What’s Inside Speak the language of applied geometryCompose geometric transformations economicallyCraft custom splines for efficient curves and surface generationConfidently use geometry algorithmsAbout the ReaderExamples are in Python, and all you need is high school–level math.About the Author Oleksandr Kaleniuk is the creator of Words and Buttons Online, a collection of interactive tutorials on math and programming.Table of Contents1 Getting started2 Terminology and jargon3 The geometry of linear equations4 Projective geometric transformations5 The geometry of calculus6 Polynomial approximation and interpolation7 Splines8 Nonlinear transformations and surfaces9 The geometry of vector algebra10 Modeling shapes with signed distance functions and surrogates11 Modeling surfaces with boundary representations and triangle meshes12 Modeling bodies with images and voxels
| Publisher | Manning |
| Publication date | May 23, 2023 |
| Language | English |
| Print length | 440 pages |
| ISBN-10 | 1633439607 |
| ISBN-13 | 978-1633439603 |
| Item Weight | 1.65 pounds (750 grams) |
| Dimensions | 7.38 x 1 x 9.25 inches (18.7 x 2.5 x 23.5 cm) |
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Geometry for Programmers
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