Book ChapterDOI
B-spline curves and surfaces
TLDR
This chapter presents the use of this algorithm for various computations and also describes the procedure for evaluating B-spline functions.About:
This article is published in Computer Aided Geometric Design.The article was published on 1974-01-01. It has received 287 citations till now. The article focuses on the topics: B-spline & Approximation theory.read more
Citations
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Book
The NURBS Book
Les A. Piegl,Wayne Tiller +1 more
TL;DR: This chapter discusses the construction of B-spline Curves and Surfaces using Bezier Curves, as well as five Fundamental Geometric Algorithms, and their application to Curve Interpolation.
Journal ArticleDOI
Animating rotation with quaternion curves
TL;DR: A new kind of spline curve is presented, created on a sphere, suitable for smoothly in-betweening (i.e. interpolating) sequences of arbitrary rotations, without quirks found in earlier methods.
Book ChapterDOI
Surface Parameterization: a Tutorial and Survey
Michael S. Floater,Kai Hormann +1 more
TL;DR: Various concepts from differential geometry which are relevant to surface mapping are gathered and used to understand the strengths and weaknesses of the many methods for parameterizing piecewise linear surfaces and their relationship to one another.
Journal ArticleDOI
Regularization of Inverse Visual Problems Involving Discontinuities
TL;DR: This paper proposes a general class of controlled-continuity stabilizers which provide the necessary control over smoothness in visual reconstruction problems that involve both continuous regions and discontinuities, for which global smoothness constraints fail.
Journal ArticleDOI
A survey of curve and surface methods in CAGD
TL;DR: It is suggested that B6zier curves should be considered as a single type of curve, but the design of these curves should not be confused with other types of curves, which are known to have different properties.
References
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Journal ArticleDOI
Contributions to the problem of approximation of equidistant data by analytic functions. Part A. On the problem of smoothing or graduation. A first class of analytic approximation formulae
Journal ArticleDOI
Bernstein-Bézier Methods for the Computer-Aided Design of Free-Form Curves and Surfaces
TL;DR: The authors consider the extension of the results contained herein to free-form curve and surface design using polynomialsplines, which have several advantages over the techniques described in the present paper.