December 2007
Intermediate to advanced
466 pages
10h 6m
English
book
Computing for Numerical Methods Using Visual C++
by Shaharuddin Salleh, Albert Y. Zomaya, Sakhinah A. Bakar
Content preview from Computing for Numerical Methods Using Visual C++Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
Chapter 7. Interpolation and Approximation
7.1 Curve Fitting
7.2 Lagrange Interpolation
7.3 Newton Interpolations
7.4 Cubic Spline
7.5 Least-Squares Approximation
7.6 Visual Solution: Code7
7.7 Summary
Numerical Exercises
Programming Challenges
CURVE FITTING
The body of a car has been designed in such a way it possesses good aerodynamic features. This is important in order for the car to be comfortable, energy-efficient, cost-effective, and attractive. To achieve these objectives, the body surface of the car is made to be smooth. The normal techniques for designing the body of a car involve computer-aided design tools on the computer. The body is constructed by fitting and blending a set of patches from the B-spline or Bezier surfaces by approximating a set of points. B-spline and Bezier are some two-dimensional curves that are widely used in curve and surface fittings.
In general, curve and surface fitting is useful in many applications, notably in the design of body surfaces such as cars, aircrafts, ships, glasses, pipes, and vases. A patch in the surface is the three-dimensional extension of the B-spline curve which is obtained from a curve fitting technique.
Curve fitting is a generic term for constructing a curve from a given set of points. This objective can be achieved in two ways, through interpolation or approximation. Interpolation refers to a curve that passes through all the given points, whereas approximation is the case when the curve does not pass through one or more of the given ...
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