Curves And Surfaces In Geometric Modeling: Theory & Algorithms (The Morgan Kaufmann Series In Computer Graphics)

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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Frequently Asked Questions

  • Q: What topics are covered in 'Curves and Surfaces in Geometric Modeling'? A: The book covers polynomial curves and surfaces, blossoming, affine geometry, control points, spline continuity conditions, subdivision surfaces, and includes appendices on linear algebra, topology, and calculus.
  • Q: Who is the author of this book? A: The author of 'Curves and Surfaces in Geometric Modeling' is Jean Gallier.
  • Q: What is the publication date of this book? A: The book was published on October 21, 1999.
  • Q: Is this book suitable for beginners? A: While the book offers a comprehensive understanding of geometric modeling, it is more suited for graduate students and practitioners with some prior knowledge in the field.
  • Q: What is the binding type of this book? A: The book is available in hardcover binding.
  • Q: How many pages does this book contain? A: The book contains 491 pages.
  • Q: What set of skills will I gain from this book? A: Readers will learn techniques for generating and manipulating curves and surfaces, including control point adjustments and creating subdivision surfaces.
  • Q: Does this book include practical implementations? A: Yes, the book details complete implementations in Mathematica, demonstrating how to produce continuous curves and surfaces.
  • Q: What makes this book unique in its field? A: It offers a mathematically rigorous and unifying approach to curves and surfaces, achieving depth not found in other texts.
  • Q: What condition is the used book in? A: The used book is described as being in good condition.