國立虎尾科技大學 |

Blossoming Development of Splines

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Blossoming Development of Splines/ by Stephen Mann.
作者:	Mann, Stephen.
面頁冊數:	IX, 97 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Computer Imaging, Vision, Pattern Recognition and Graphics. -
電子資源:	https://doi.org/10.1007/978-3-031-79516-9
ISBN:	9783031795169

Blossoming Development of Splines
Mann, Stephen.

Blossoming Development of Splines[electronic resource] /by Stephen Mann. - 1st ed. 2006. - IX, 97 p.online resource. - Synthesis Lectures on Computer Graphics and Animation,1933-9003. - Synthesis Lectures on Computer Graphics and Animation,.

Introduction and Background -- Polynomial Curves -- B-Splines -- Surfaces.

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

ISBN: 9783031795169

Standard No.: 10.1007/978-3-031-79516-9doiSubjects--Topical Terms:

671334
Computer Imaging, Vision, Pattern Recognition and Graphics.

LC Class. No.: QA1-939

Dewey Class. No.: 510

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