| 书目名称 | Fitting Splines to a Parametric Function |
| 编辑 | Alvin Penner |
| 视频video | |
| 概述 | Investigates if the fitted spline shapes respond smoothly to changes in the shape of the curve being fit, for example when discussing the animation of shapes.Presents a general derivation of the ODF m |
| 丛书名称 | SpringerBriefs in Computer Science |
| 图书封面 |  |
| 描述 | 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 Bézier 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 loca |
| 出版日期 | Book 2019 |
| 关键词 | Least Squares Orthogonal Distance Fitting; ODF method; spline theory; cubic Bézier solutions; Beta2 spli |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-12551-6 |
| isbn_softcover | 978-3-030-12550-9 |
| isbn_ebook | 978-3-030-12551-6Series ISSN 2191-5768 Series E-ISSN 2191-5776 |
| issn_series | 2191-5768 |
| copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 19:01:33
