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

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Mann, Stephen

Morgan & Claypool

1905-6

108

$ 45.20

Pap

9781598291162

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发表于2024-11-10

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

A Blossoming Development of Splines pdf epub mobi txt 电子书下载 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.

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