Journal ArticleDOI
Increasing the smoothness of bicubic spline surfaces
TLDR
In the present paper, a smoothing algorithm for bicubic spline surfaces is presented, having the piecewise cubic boundaries of the patches fixed, the algorithm chooses adequate twists factors in order to increase the smoothness.About:
This article is published in Computer Aided Geometric Design.The article was published on 1985-09-01. It has received 22 citations till now. The article focuses on the topics: Cubic Hermite spline & Spline interpolation.read more
Citations
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Journal ArticleDOI
Surfaces in computer aided geometric design: a survey with new results
TL;DR: 'Surfaces in Computer Aided Geometric Design' focuses on the representation and design of surfaces in a computer graphics environment and can be traced from its inception in rectangular Coons patches and Bezier patches to triangular patches which are current research topics.
Journal ArticleDOI
Direct construction of polynomial surfaces from dense range images through region growing
Nickolas S. Sapidis,Paul J. Besl +1 more
TL;DR: A technique for approximating 3-D points with a functional surfiace z = Z( .r, v ) based on the concept of “re~ion growin g,” aimed at maximizing the amount of data represented hy a single polynomial segment.
Journal ArticleDOI
Polynomial surfaces interpolating arbitrary triangulations
TL;DR: This paper introduces a new method for visually smooth interpolation of arbitrary triangle meshes based on a regular 4-split of the domain triangles, which avoids unwanted undulations by relaxing the constraint of the first derivatives at the input mesh vertices.
Journal ArticleDOI
Algorithm 671: FARB-E-2D: fill area with bicubics on rectangles—a contour plot program
TL;DR: The algorithm has a flexible, easy-to-use interface and is easily installed with all plotting systems, provided that a fill-area command is available.
References
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Book
A practical guide to splines
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
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.
ReportDOI
Surfaces for computer-aided design of space forms
TL;DR: A method is described which makes possible the description of free-form doubly curved surfaces of a very general kind, specifically devised for use in the Computer-Aided Design Project at M.I.T.
Journal ArticleDOI
A new twist in computer aided geometric design
TL;DR: Several methods of automatically determining twists in C 1 rectangular Coons patches are given, including two preprocessing schemes in which the twists are obtained from C° approximations based on positional and derivative information at the corners of the patches.
Computer-aided surface representation and design
TL;DR: New methods for representing and approximating three and four dimensional surfaces were created and these schemes are the core of the forthcoming Surface Software Package.