An algorithm to parametrize approximately space curves
نویسندگان
چکیده
منابع مشابه
Approximately matching polygonal curves with respect to the Fre'chet distance
In this paper we present approximate algorithms for matching two polygonal curves with respect to the Fréchet distance. We define a discrete version of the Fréchet distance as a distance measure between polygonal curves and show that this discrete version is bounded by the continuous version of the Fréchet distance. For the task of matching with respect to the discrete Fréchet distance, we deve...
متن کاملAn algorithm to compute plane algebraic curves
This paper contains an algorithm, implemented in Magma, to compute singular plane algebraic curves. Two Magma functions are given: one computes linear systems of curves with non-ordinary singularities and the other computes a scheme of points such that there is a given degree plane curve with given singularities at these points. Some examples are presented so that the reader can quickly learn h...
متن کاملAn algorithm to approach invariant curves
We develop an algorithm to identify invariant curves efficiently. In dynamical systems, it helps do continuations of branches of quasi-periodic solutions smoothly in bifurcation diagrams. Several examples are demonstrated to provide the numerical evidence for the versatility of the algorithm. © 2001 Elsevier Science B.V. All rights reserved.
متن کاملApproximately harmonic projection: Theoretical analysis and an algorithm
Manifold learning have attracted considerable attention over the last decade. The most frequently used functional is the l-norm of the gradient of the function. In this paper, we consider the linear manifold learning problem by minimizing this functional with appropriate constraint. We provide theoretical analysis on both the functional and the constraint, which shows the affine hulls of the ma...
متن کاملClosed Curves and Space Curves
So far we have discussed only ‘local’ properties of (plane) curves. These properties depend only on the behavior of a curve near a given point, and not on the ‘global’ shape of the curve. Now let us look at some global results about curves. The most famous, and perhaps the oldest, of these is the ‘isoperimetric inequality’, which relates the length of a certain ‘closed’ curve to the area it con...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2013
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2013.04.002