Multi-Platform Graphics Programming with Kivy : Basic Analytical Programming for 2D, 3D, and Stereoscopic Design

Modern science requires computer graphics models to provide realistic visual renderings. Learning the appropriate programming tools for 2D and 3D modeling doesn't have to be so difficult. This book reviews the best programming tools to achieve this and explains how to apply them to mobile platforms like Android. __Multi-Platform Graphics Programming with Kivy__ provides a straightforward introductory approach for designing 2D, 3D, and stereoscopic applications, using analytical equations from vector algebra. Throughout the book you'll look closely at this approach and develop scenes in Kivy, taking advantage of powerful mathematical functions for arrays by NumPy for Python. Unbuntu is used to develop the programs, which allows you to easily convert to Android platform. Each chapter contains step-by-step descriptions on each subject and provides complete program listings. **What You'll Learn** Work with Kivy, a modern, powerful multi-platform graphics system Convert and run programs on Android devices Program, fill faces, and rotate 2D and 3D polygons Apply the concepts of 2D and 3D applications Develop stereoscopic scenes Review a straightforward introduction to 2D, 3D, and stereoscopic graphics applications Use simple analytical equations from vector algebra **Who This Book Is For** The primary audience is students and researchers in graphics programming with experience in analytical equations. Table of Contents About the Authors About the Technical Reviewer Acknowledgments Chapter 1: Getting Started: Software installation 1.1 Installing pip3 and IDLE 1.2 Installing Kivy 1.3 Installing Buildozer 1.4 Summary Chapter 2: Two-Dimensional Mapping and Rotation Equations of a Point 2.1 Rotation Equations 2.2 Mapping Spatial Two-Dimensional Points to the Screen 2.3 Summary Chapter 3: Two-Dimensional Polygon Programming 3.1 Polygon Structure 3.2 Drawing the Edges of the Polygon 3.3 Filling the Polygon with Lines 3.4 Rotating the Polygon 3.5 Using the Kivy Platform 3.6 Using Buildozer 3.7 Summary Chapter 4: Three-Dimensional Projections and Rotations 4.1 Projecting a Three-Dimensional Point Onto a Plane 4.2 Rotating a Point on a Plane 4.3 Summary Chapter 5: Programming Three-Dimensional Polygons 5.1 Polygon Structure 5.2 Basic Functions 5.3 Summary Chapter 6: Stereoscopic 3D Programming 6.1 Basics of a Stereoscopic Scene 6.2 Programming and ORing the Images 6.3 Projections 6.4 Polygon Structure 6.5 DrawAxes Function 6.6 Points of Projection 6.7 Summary Chapter 7: 3D Plots Programming 7.1 Programming the Basic Operations 7.2 Function Overview 7.3 Generating the Axes, the Mesh, and the Function 7.4 Plotting the Function on the Screen 7.5 Rotating the Plot 7.6 Summary Chapter 8: Stereoscopic 3D Plots 8.1 Creating the Function, Coordinates, and Mesh 8.2 Creating Two Images for the Stereoscopic Effect 8.3 Drawing the Plot 8.4 Surfaces with Saddle Points 8.5 Summary Chapter 9: Parametric 3D Plotting 9.1 Parametric Equations 9.2 Plotting 9.3 Summary Chapter 10: Stereoscopic parametric 3D Plots 10.1 Generating the Function 10.2 Creating the PIL Images for the Stereoscopic Effect 10.3 Plotting the Function 10.4 Summary Chapter 11: SymPy 11.1 Analytical Expressions and Symbols 11.2 Declaring Functions with Analytical Expressions 11.3 Solving Equations 11.4 Solving Simultaneous Equations 11.5 Symbolic Differentiation 11.6 Integration 11.7 Incorporating SymPy Into Android Projects 11.8 Summary Chapter 12: Plotting Functions in Spherical Coordinates 12.1 Overview of Spherical Coordinates 12.2 Spherical Differential Equation Working Example 12.3 The Associated Legendre Polynomials 12.4 Plotting Functions in Spherical Coordinates 12.5 Summary Chapter 13: Stereoscopic Plots in Spherical Coordinates 13.1 Creating the Stereoscopic Scenes 13.2 Summary Chapter 14: Stereoscopic Simple Numerical Method for Gravitational N-body 14.1 The Gravitational N-body Problem 14.2 Motion Equations 14.3 Numerical Solution to the Dynamic Equations 14.4 Capturing Numerical Data 14.5 Five Planets Working Example 14.6 Summary Chapter 15: Stereoscopic Cylindrical Coordinates Plotting 15.1 Ideal Lens Focusing: The Fresnel Diffraction Integral 15.2 Departure from the Ideal Lens 15.3 The Wave Aberration Function in Cylindrical Coordinates 15.4 Stereoscopic Plot of Wave Aberration Terms in Cylindrical Coordinates 15.5 Summary Chapter 16: Stereoscopic Plotting of Three-Dimensional Conics 16.1 Analytical Approach 16.2 Stereoscopic Ellipsoid Plotting 16.3 Hyperboloid 16.4 Summary Chapter 17: Two-Dimensional Fourier Transform 17.1 One-Dimensional Fourier Transform 17.2 The Rectangular and Sinc Functions 17.3 Code for Calculating the Discrete One-Dimensional Fourier Transform 17.4 Two-Dimensional Fourier Transform 17.5 Discrete Two-Dimensional Fourier Transform 17.6 The Fourier Transform of the Circular Function 17.7 Fourier Transform of the Circular Function 17.8 Summary Chapter 18: Stereoscopic Two-Dimensional Fourier Transform 18.1 Plotting the Functions 18.2 Summary Index Modern science requires computer graphics models to provide realistic visual renderings. Learning the appropriate programming tools for 2D and 3D modeling doesn't have to be so difficult. This book reviews the best programming tools to achieve this and explains how to apply them to mobile platforms like Android. Multi-Platform Graphics Programming with Kivy provides a straightforward introductory approach for designing 2D, 3D, and stereoscopic applications, using analytical equations from vector algebra. Throughout the book you'll look closely at this approach and develop scenes in Kivy, taking advantage of powerful mathematical functions for arrays by NumPy for Python. Unbuntu is used to develop the programs, which allows you to easily convert to Android platform. Each chapter contains step-by-step descriptions on each subject and provides complete program listings. You will: Work with Kivy, a modern, powerful multi-platform graphics system Convert and run programs on Android devices Program, fill faces, and rotate 2D and 3D polygons Apply the concepts of 2D and 3D applications Develop stereoscopic scenes Review a straightforward introduction to 2D, 3D, and stereoscopic graphics applications Use simple analytical equations from vector algebra