Subdivision methods for geometric design: a constructive approach

Joe Warren, Henrik Weimer1558604464, 9781558604469, 9781429484206

Subdivision Methods for Geometric Design provides computer graphics students and designers with a comprehensive guide to subdivision methods, including the background information required to grasp underlying concepts, techniques for manipulating subdivision algorithms to achieve specific effects, and a wide array of digital resources on a dynamic companion Web site. Subdivision Methods promises to be a groundbreaking book, important for both advanced students and working professionals in the field of computer graphics. The only book devoted exclusively to subdivision techniques Covers practical topics including uniform Bezier and B-Spline curves, polyhedral meshes, Catmull-Clark subdivision for quad meshes and objects with sharp creases and pointed vertices A companion website provides example code and concept implementations of subdivision concepts in an interactive Mathematica environment

Amazon.com Review Although computer graphics applications have grown remarkably easy to use, there is absolutely nothing simple about how they work. One of the most difficult aspects is the creation of smooth or organic shapes using the inherently flat polygon approach to modeling. Subdivision Methods for Geometric Design describes the contemporary approach to solving this problem.
It is not an unheard-of practice–large computer animation studios such as Pixar not only use this approach, but some of their researchers helped pioneer it. Learning how subdivisions work, though, and applying them in your application is the tricky part. In this valuable textbook, the authors attempt to explain the approach and usage of this valuable technique.
Spanning eight chapters and 275 pages of text, this hardcover is divided loosely into three parts. The first part is an introduction to subdivision and techniques for creating subdivision schemes. The second part, chapters 4 through 6, focuses on “a new differential method for constructing subdivision schemes.” Later sections explore the techniques and practice of applying subdivision to polyhedral meshes, most commonly found in computer modeling systems where smooth forms are desirable.
This is certainly not a book for the common computer programmer. It is specific and detailed, targeted at the narrow band of programmers writing graphics applications whose desired output is smooth and organic shapes. Subdivision Methods for Geometric Design offers valuable insight and explanation, but it is not for the lighthearted enthusiast. –Mike Caputo