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Geometry for programmers, oleksandr kaleniuk

920 грн -8% 850 грн

Описание

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.

Geometry for Programmers

you will learn how to:

Speak the language of applied geometry

Compose geometric transformations economically

Craft custom splines for efficient curves and surface generation

Pick and implement the right geometric transformations

Confidently use important algorithms that operate on triangle meshes, distance
functions, and voxels

Geometry 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 geometry

Compose geometric transformations economically

Craft custom splines for efficient curves and surface generation

Confidently use geometry algorithms

About the Reader

Examples 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 Contents

1 Getting started

2 Terminology and jargon

3 The geometry of linear equations

4 Projective geometric transformations

5 The geometry of calculus

6 Polynomial approximation and interpolation

7 Splines

8 Nonlinear transformations and surfaces

9 The geometry of vector algebra

10 Modeling shapes with signed distance functions and surrogates

11 Modeling surfaces with boundary representations and triangle meshes

12 Modeling bodies with images and voxels

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