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Curves And Surfaces In Geometric Modeling: Theory & Algorithms (The Morgan Kaufmann Series In Computer Graphics)
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Curves And Surfaces For Geometric Design Offers Both A Theoretically Unifying Understanding Of Polynomial Curves And Surfaces And An Effective Approach To Implementation That You Can Bring To Bear On Your Own Workwhether You'Re A Graduate Student, Scientist, Or Practitioner.Inside, The Focus Is On BlossomingThe Process Of Converting A Polynomial To Its Polar Formas A Natural, Purely Geometric Explanation Of The Behavior Of Curves And Surfaces. This Insight Is Important For Far More Than Its Theoretical Elegance, For The Author Proceeds To Demonstrate The Value Of Blossoming As A Practical Algorithmic Tool For Generating And Manipulating Curves And Surfaces That Meet Many Different Criteria. You'Ll Learn To Use This And Related Techniques Drawn From Affine Geometry For Computing And Adjusting Control Points, Deriving The Continuity Conditions For Splines, Creating Subdivision Surfaces, And More.The Product Of Groundbreaking Research By A Noteworthy Computer Scientist And Mathematician, This Book Is Destined To Emerge As A Classic Work On This Complex Subject. It Will Be An Essential Acquisition For Readers In Many Different Areas, Including Computer Graphics And Animation, Robotics, Virtual Reality, Geometric Modeling And Design, Medical Imaging, Computer Vision, And Motion Planning.* Achieves A Depth Of Coverage Not Found In Any Other Book In This Field.* Offers A Mathematically Rigorous, Unifying Approach To The Algorithmic Generation And Manipulation Of Curves And Surfaces.* Covers Basic Concepts Of Affine Geometry, The Ideal Framework For Dealing With Curves And Surfaces In Terms Of Control Points.* Details (In Mathematica) Many Complete Implementations, Explaining How They Produce Highly Continuous Curves And Surfaces.* Presents The Primary Techniques For Creating And Analyzing The Convergence Of Subdivision Surfaces (Doosabin, Catmullclark, Loop).* Contains Appendices On Linear Algebra, Basic Topology, And Differential Calculus.
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This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
For more information, please visit www.P65Warnings.ca.gov.
- Q: What are the dimensions of this book? A: The book measures seven point seven six inches in length, one point two six inches in width, and nine point seven six inches in height. These dimensions make it a manageable size for reading and reference.
- Q: How many pages does this book have? A: This book contains four hundred ninety-one pages. It provides extensive coverage of curves and surfaces in geometric modeling.
- Q: What type of binding does this book have? A: This book is hardcover bound. The durable binding ensures longevity and protection for the content inside.
- Q: Who is the author of this book? A: The author of this book is Jean Gallier. He is recognized for his contributions to computer graphics and geometric modeling.
- Q: What is the main subject of this book? A: The book focuses on curves and surfaces in geometric design. It combines theoretical insights with practical applications for various fields.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for both beginners and advanced readers. It provides foundational concepts as well as advanced techniques in geometric modeling.
- Q: How can I apply the techniques in this book? A: You can apply the techniques by using the algorithms and methods detailed within the book for your own geometric modeling projects. The implementation examples are meant to be practical.
- Q: Is there any prerequisite knowledge needed to understand this book? A: While no specific prerequisites are required, familiarity with basic mathematical concepts will enhance your understanding. The book covers fundamental topics in affine geometry.
- Q: What topics are covered in the appendices? A: The appendices include topics on linear algebra, basic topology, and differential calculus. These areas provide additional context for the main content.
- Q: How should I store this book to keep it in good condition? A: Store the book upright on a shelf or in a bookcase to avoid damage. Keep it away from direct sunlight and moisture to maintain its condition.
- Q: Can I clean the book if it gets dirty? A: Yes, you can gently clean the book using a soft, dry cloth. Avoid using water or cleaning products that may damage the cover or pages.
- Q: What if the book arrives damaged? A: If the book arrives damaged, please contact the seller for a return or replacement. Most sellers have policies in place for damaged goods.
- Q: Is there a warranty on this book? A: No, typically books do not come with a warranty. However, you should check the seller's return policy for options if issues arise.
- Q: How can I get support if I have questions about the book? A: You can reach out to the publisher or seller for support regarding any questions about the book. They often provide customer service for inquiries.
- Q: Is this book recommended for professionals in the field? A: Yes, this book is highly recommended for professionals in fields such as computer graphics, robotics, and medical imaging. It offers in-depth insights and algorithms.