Geometry for Naval Architects

Geometry for Naval Architects is the essential guide to the principles of naval geometry. Formerly fragmented throughout various sources, the topic is now presented in this comprehensive book that explains the history and specific applications of modern naval architecture mathematics and techniques, including numerous examples, applications and references to further enhance understanding. With a natural four-section organization (Traditional Methods, Differential Geometry, Computer Methods, and Applications in Naval Architecture), users will quickly progress from basic fundamentals to specific applications.

Careful instruction and a wealth of practical applications spare readers the extensive searches once necessary to understand the mathematical background of naval architecture and help them understand the meanings and uses of discipline-specific computer programs.

• Explains the basics of geometry as applied to naval architecture, with specific practical applications included throughout the book for real-life insights
• Presents traditional methods and computational techniques (including MATLAB)
• Provides a wealth of examples in MATLAB and MultiSurf (a computer-aided design package for naval architects and engineers)
• Includes supplemental MATLAB and MultiSurf code available on a companion site

Entry-level naval architects and researchers working in ship design and developing/using ship design software; supplemental use for students of naval architecture and marine engineering

Section I: Traditional Methods

1. Elements of descriptive geometry

2. The hull surface - Graphic definition

3. Geometric properties of plane figures

Section II: Differential Geometry

4. Parametric curves

5. Curvature

6. Surfaces

Section III: Computer Methods

7. Cubic splines

8. Geometrical transformations

9. Bezier curves

10. B-splines and NURBS

11. Computer representation of surfaces

Section IV: Applications in Naval Architecture

12. Applications to naval-architectural software

13. Hull transformations by computer software

14. Conformal mapping

15. Answers to selected exercises