Description: Fitting Splines to a Parametric Function Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Alvin Penner Format: Paperback Publisher: Springer Nature Switzerland AG, Switzerland Imprint: Springer Nature Switzerland AG ISBN-13: 9783030125509, 978-3030125509 Synopsis This Brief investigates the intersections that occur between three different areas of study that normally would not touch each other: ODF, spline theory, and topology. The Least Squares Orthogonal Distance Fitting (ODF) method has become the standard technique used to develop mathematical models of the physical shapes of objects, due to the fact that it produces a fitted result that is invariant with respect to the size and orientation of the object. It is normally used to produce a single optimum fit to a specific object; this work focuses instead on the issue of whether the fit responds continuously as the shape of the object changes. The theory of splines develops user-friendly ways of manipulating six different splines to fit the shape of a simple family of epiTrochoid curves: two types of Bezier curve, two uniform B-splines, and two Beta-splines. This work will focus on issues that arise when mathematically optimizing the fit. There are typically multiple solutions to the ODF method, and the number of solutions can often change as the object changes shape, so two topological questions immediately arise: are there rules that can be applied concerning the relative number of local minima and saddle points, and are there different mechanisms available by which solutions can either merge and disappear, or cross over each other and interchange roles. The author proposes some simple rules which can be used to determine if a given set of solutions is internally consistent in the sense that it has the appropriate number of each type of solution.
Price: 38.07 GBP
Location: Aldershot
End Time: 2025-01-12T09:05:57.000Z
Shipping Cost: 28.25 GBP
Product Images
Item Specifics
Return postage will be paid by: Buyer
Returns Accepted: Returns Accepted
After receiving the item, your buyer should cancel the purchase within: 60 days
Return policy details:
Book Title: Fitting Splines to a Parametric Function
Number of Pages: 79 Pages
Publication Name: Fitting Splines to a Parametric Function
Language: English
Publisher: Springer Nature Switzerland A&G
Item Height: 235 mm
Subject: Computer Science
Publication Year: 2019
Type: Textbook
Item Weight: 158 g
Author: Alvin Penner
Item Width: 155 mm
Series: Springerbriefs in Computer Science
Format: Paperback
