Computer Graphics and Geometric Modeling Using Beta-splines
Author | : Brian A. Barsky |
Publisher | : Springer |
Total Pages | : 154 |
Release | : 2013-12-20 |
Genre | : Computers |
ISBN | : 364272292X |
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Author | : Brian A. Barsky |
Publisher | : Springer |
Total Pages | : 154 |
Release | : 2013-12-20 |
Genre | : Computers |
ISBN | : 364272292X |
Author | : Richard H. Bartels |
Publisher | : Morgan Kaufmann |
Total Pages | : 504 |
Release | : 1995-09 |
Genre | : Computers |
ISBN | : 9781558604001 |
As the field of computer graphics develops, techniques for modeling complex curves and surfaces are increasingly important. A major technique is the use of parametric splines in which a curve is defined by piecing together a succession of curve segments, and surfaces are defined by stitching together a mosaic of surface patches. An Introduction to Splines for Use in Computer Graphics and Geometric Modeling discusses the use of splines from the point of view of the computer scientist. Assuming only a background in beginning calculus, the authors present the material using many examples and illustrations with the goal of building the reader's intuition. Based on courses given at the University of California, Berkeley, and the University of Waterloo, as well as numerous ACM Siggraph tutorials, the book includes the most recent advances in computer-aided geometric modeling and design to make spline modeling techniques generally accessible to the computer graphics and geometric modeling communities.
Author | : Hans Hagen |
Publisher | : Springer |
Total Pages | : 304 |
Release | : 1991 |
Genre | : Computers |
ISBN | : |
Author | : Jean H. Gallier |
Publisher | : Morgan Kaufmann |
Total Pages | : 512 |
Release | : 2000 |
Genre | : Computers |
ISBN | : 9781558605992 |
"Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitioner." "The focus here is on blossoming - the process of converting a polynomial to its polar form - as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for more than just its theoretical elegance - the author demonstrates 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 other related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more." "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."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Author | : Gerald E. Farin |
Publisher | : |
Total Pages | : 460 |
Release | : 1997 |
Genre | : Computers |
ISBN | : |
Computer disk contains: "data sets, as well as all of the C routines found in the book."
Author | : Klaus Hollig |
Publisher | : SIAM |
Total Pages | : 228 |
Release | : 2015-07-01 |
Genre | : Mathematics |
ISBN | : 1611972949 |
B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory: approximation methods (mathematics), modeling techniques (engineering), and geometric algorithms (computer science). A supplemental Web site will provide a collection of problems, some with solutions, slides for use in lectures, and programs with demos.
Author | : Stephen Mann |
Publisher | : Morgan & Claypool Publishers |
Total Pages | : 108 |
Release | : 2006-12-01 |
Genre | : Technology & Engineering |
ISBN | : 1598291173 |
In this lecture, we study Bézier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bézier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bézier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces.
Author | : David Salomon |
Publisher | : Springer Science & Business Media |
Total Pages | : 862 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 1461215048 |
A book for those interested in how modern graphics programs work and how they can generate realistic-looking objects. It emphasises the mathematics behind computer graphics, most of which is included in an appendix. The main topics covered are: scan conversion methods; selecting the best pixels for generating lines, circles and other objects; geometric transformations and projections; translations, rotations, moving in 3D, perspective projections, curves and surfaces; construction, wire-frames, rendering, normals; CRTs, antialiasing, animation, colour, perception, polygons, compression. With its numerous illustrative examples and exercises, the book is ideal for a two-semester course for advanced undergraduates or graduates, while also making a fine reference for professionals in the field.