A Blossoming Development of Splines 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Mann, Stephen 作者

Morgan & Claypool

译者

1905-6 出版日期

108 页数

$ 45.20 价格

Pap

丛书系列

9781598291162 图书编码

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发表于2024-09-21

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A Blossoming Development of Splines 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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In this lecture, we study Bzier 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. Bzier/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 Bzier 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.

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