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CAGD
2006
81views more  CAGD 2006»
13 years 4 months ago
On the singularity of a class of parametric curves
We consider parametric curves that are represented by combination of control points and basis functions. We let a control point vary while the rest is held fixed. We show that the...
Imre Juhász
CAGD
2008
71views more  CAGD 2008»
13 years 5 months ago
Geometric Lagrange interpolation by planar cubic Pythagorean-hodograph curves
In this paper, the geometric Lagrange interpolation of four points by planar cubic Pythagorean-hodograph (PH) curves is studied. It is shown that such an interpolatory curve exist...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...
CAGD
2008
292views more  CAGD 2008»
13 years 5 months ago
Rotations, translations and symmetry detection for complexified curves
A plane algebraic curve can be represented as the zero-set of a polynomial in two - or if one takes homogenous coordinates: three - variables. The coefficients of the polynomial de...
Peter Lebmeir, Jürgen Richter-Gebert
CAGD
2008
158views more  CAGD 2008»
13 years 5 months ago
On the deviation of a parametric cubic spline interpolant from its data polygon
When fitting a parametric curve through a sequence of points, it is important in applications that the curve should not exhibit unwanted oscillations. In this paper we take the vi...
Michael S. Floater
CAD
2008
Springer
13 years 5 months ago
Approximate computation of curves on B-spline surfaces
Curves on surfaces play an important role in computer-aided geometric design. Because of the considerably high degree of exact curves on surfaces, approximation algorithms are pre...
Yi-Jun Yang, Song Cao, Jun-Hai Yong, Hui Zhang, Je...
CAD
2008
Springer
13 years 5 months ago
Constrained curve fitting on manifolds
When designing curves on surfaces the need arises to approximate a given noisy target shape by a smooth fitting shape. We discuss the problem of fitting a B-spline curve to a poin...
Simon Flöry, Michael Hofer
AAECC
2007
Springer
117views Algorithms» more  AAECC 2007»
13 years 5 months ago
A predictor-corrector-type technique for the approximate parameterization of intersection curves
Abstract We describe a method to approximate a segment of the intersection curve of two implicitly defined surfaces by a rational parametric curve. Starting from an initial soluti...
Bert Jüttler, Pavel Chalmovianský
CVPR
2008
IEEE
13 years 5 months ago
Tracking distributions with an overlap prior
Recent studies have shown that embedding similarity/dissimilarity measures between distributions in the variational level set framework can lead to effective object segmentation/t...
Ismail Ben Ayed, Shuo Li, Ian G. Ross
ICPR
2010
IEEE
13 years 5 months ago
The Binormal Assumption on Precision-Recall Curves
—The precision-recall curve (PRC) has become a widespread conceptual basis for assessing classification performance. The curve relates the positive predictive value of a classi...
Kay Henning Brodersen, Cheng Soon Ong, Klaas Enno ...
SMA
2010
ACM
164views Solid Modeling» more  SMA 2010»
13 years 5 months ago
Topologically guaranteed univariate solutions of underconstrained polynomial systems via no-loop and single-component tests
We present an algorithm which robustly computes the intersection curve(s) of an under-constrained piecewise polynomial system consisting of n equations with n + 1 unknowns. The so...
Michael Barton, Gershon Elber, Iddo Hanniel