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Journal ArticleDOI

The Computation of all the Derivatives of a B-spline Basis

K. R. Butterfield
- 01 Feb 1976 - 
- Vol. 17, Iss: 1, pp 15-25
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This article is published in Ima Journal of Applied Mathematics.The article was published on 1976-02-01. It has received 30 citations till now. The article focuses on the topics: B-spline & Basis (linear algebra).

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Book

Cam Design Handbook

TL;DR: This chapter discusses Cam Motion Synthesis Using Spline Functions, Cam Mechanism Forces, and Cams in Microelectromechanical Systems.
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Practical spline approximation

TL;DR: This two-part paper describes the use of polynomial spline functions for purposes of interpolation and approximation and discusses strategies for selecting particular solutions to spline approximation problems having nonunique solutions and techniques for automatic knot placement.
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Density estimation and comparison with a penalized mixture approach

TL;DR: The paper presents smooth estimation of densities utilizing penalized splines, to represent the unknown density by a convex mixture of basis densities, where the weights are estimated in a penalized form and it shows stable and powerful behaviour.
Journal ArticleDOI

Improving the geometry design of cylindrical cams using nonparametric rational B-splines

TL;DR: The interpolation of nonparametric rational B-splines is used to synthesize and refine the dwell-rise-dwell motion function of the follower and the geometric characteristics for the pressure angles and principal curvatures of the cylindrical cam surfaces are analysed.
Journal ArticleDOI

Design of Torque Balancing Cams for Globoidal Cam Indexing Mechanisms

TL;DR: In this paper, a technique for designing torque balancing cam (TBC) systems that are composed of spring-loaded planar cams with translating followers for globoidal cam indexing mechanisms (GCIMs) has been presented.