Fundamentals of graphics using MATLAB / Ranjan Parkeh.
"This book introduces fundamental concepts and principles of 2D and 3D graphics and illustrates the use of MATLAB for this purpose. The objectives are to demonstrate how MATLAB can be used to solve graphics problems and to help the reader gain an indepth knowledge about the subject matter throu...
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| Online Access: |
Full Text (via ProQuest) |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boca Raton :
CRC Press, Taylor and Francis Group,
[2020]
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| Subjects: |
Table of Contents:
- Cover; Half Title; Title Page; Copyright Page; Contents; Preface; Author; CHAPTER 1 Interpolating Splines; 1.1 INTRODUCTION; 1.2 LINEAR SPLINE (STANDARD FORMS); 1.3 LINEAR SPLINE (PARAMETRIC FORM); 1.4 QUADRATIC SPLINE (STANDARD FORM); 1.5 QUADRATIC SPLINE (PARAMETRIC FORM); 1.6 CUBIC SPLINE (STANDARD FORM); 1.7 CUBIC SPLINE (PARAMETRIC FORM); 1.8 PIECEWISE SPLINES (STANDARD FORM); 1.9 PIECEWISE SPLINES (PARAMETRIC FORM); 1.10 CHAPTER SUMMARY; 1.11 REVIEW QUESTIONS; 1.12 PRACTICE PROBLEMS; CHAPTER 2 Blending Functions and Hybrid Splines; 2.1 INTRODUCTION; 2.2 BLENDING FUNCTIONS
- 2.3 BLENDING FUNCTIONS OF INTERPOLATING SPLINES2.4 HERMITE SPLINE; 2.5 CARDINAL SPLINE; 2.6 CATMULL-ROM SPLINE; 2.7 BEZIER SPLINE; 2.8 SPLINE CONVERSIONS; 2.9 CHAPTER SUMMARY; 2.10 REVIEW QUESTIONS; 2.11 PRACTICE PROBLEMS; CHAPTER 3 Approximating Splines; 3.1 INTRODUCTION; 3.2 LINEAR UNIFORM B-SPLINE; 3.3 CHANGING NUMBER OF CONTROL POINTS; 3.4 QUADRATIC UNIFORM B-SPLINE; 3.5 JUSTIFICATION FOR KNOT-VECTOR VALUES; 3.6 QUADRATIC OPEN-UNIFORM B-SPLINE; 3.7 QUADRATIC NON-UNIFORM B-SPLINE; 3.8 CUBIC UNIFORM B-SPLINE; 3.9 CHAPTER SUMMARY; 3.10 REVIEW QUESTIONS; 3.11 PRACTICE PROBLEMS
- CHAPTER 4 2D Transformations4.1 INTRODUCTION; 4.2 HOMOGENEOUS COORDINATES; 4.3 TRANSLATION; 4.4 SCALING; 4.5 ROTATION; 4.6 FIXED-POINT SCALING; 4.7 FIXED-POINT ROTATION; 4.8 REFLECTION; 4.9 FIXED-LINE REFLECTION; 4.10 SHEAR; 4.11 AFFINE TRANSFORMATIONS; 4.12 PERSPECTIVE TRANSFORMATIONS; 4.13 VIEWING TRANSFORMATIONS; 4.14 COORDINATE SYSTEM TRANSFORMATIONS; 4.15 CHAPTER SUMMARY; 4.16 REVIEW QUESTIONS; 4.17 PRACTICE PROBLEMS; CHAPTER 5 Spline Properties; 5.1 INTRODUCTION; 5.2 CRITICAL POINTS; 5.3 TANGENT AND NORMAL; 5.4 LENGTH OF A CURVE; 5.5 AREA UNDER A CURVE; 5.6 CENTROID
- 5.7 INTERPOLATION AND CURVE FITTING5.8 NOTES ON 2D PLOTTING FUNCTIONS; 5.9 CHAPTER SUMMARY; 5.10 REVIEW QUESTIONS; 5.11 PRACTICE PROBLEMS; CHAPTER 6 Vectors; 6.1 INTRODUCTION; 6.2 UNIT VECTOR; 6.3 DIRECTION COSINES; 6.4 DOT PRODUCT; 6.5 CROSS PRODUCT; 6.6 VECTOR EQUATION OF A LINE; 6.7 VECTOR EQUATION OF PLANE; 6.8 VECTOR ALIGNMENT (2D); 6.9 VECTOR EQUATIONS IN HOMOGENEOUS COORDINATES (2D); 6.10 VECTOR EQUATIONS IN HOMOGENEOUS COORDINATES (3D); 6.11 NORMAL VECTOR AND TANGENT VECTOR; 6.12 CHAPTER SUMMARY; 6.13 REVIEW QUESTIONS; 6.14 PRACTICE PROBLEMS; CHAPTER 7 3D Transformations
- 7.1 INTRODUCTION7.2 TRANSLATION; 7.3 SCALING; 7.4 ROTATION; 7.5 FIXED-POINT SCALING; 7.6 FIXED-POINT ROTATION; 7.7 ROTATION PARALLEL TO PRIMARY AXES; 7.8 VECTOR ALIGNMENT (3D); 7.9 ROTATION AROUND A VECTOR; 7.10 ROTATION AROUND AN ARBITRARY LINE; 7.11 REFLECTION; 7.12 SHEAR; 7.13 CHAPTER SUMMARY; 7.14 REVIEW QUESTIONS; 7.15 PRACTICE PROBLEMS; CHAPTER 8 Surfaces; 8.1 INTRODUCTION; 8.2 PARAMETRIC SURFACES; 8.3 BEZIER SURFACES; 8.4 IMPLICIT SURFACES; 8.5 EXTRUDED SURFACES; 8.6 SURFACES OF REVOLUTION; 8.7 NORMAL VECTOR AND TANGENT PLANE; 8.8 AREA AND VOLUME OF SURFACE OF REVOLUTION