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G1 continuous approximate curves on NURBS surfaces

Related publications (40)

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Surface extraction and flattening for anatomical visualization

Laurent Saroul

In the last years, three-dimensional (3D) medical imaging techniques have taken an increasing importance in patient care and medical research. Volume images provide medical specialists with a direct access to the interior of a patient's body and reduce the ...

EPFL2006

Global radii of curvature, and the biarc approximation of space curves

Jana Smutny

The distance from self-intersection of a (smooth and either closed or infinite) curve q in three dimensions can be characterised via the global radius of curvature at q(s), which is defined as the smallest possible radius amongst all circles passing throug ...

EPFL2004

Exploring Curved Anatomic Structures with Surface Sections

Roger Hersch, Sebastian Gerlach, Laurent Saroul

The extraction of planar sections from volume images is the most commonly used technique for inspecting and visualizing anatomic structures. We propose to generalize the concept of planar section to the extraction of curved cross-sections (free form surfac ...

Institute of Electrical and Electronics Engineers Computer Society2003

Non-linear subdivision using local spherical coordinates

Touradj Ebrahimi, Pierre Vandergheynst, Nicolas Aspert

In this paper, we present an original non-linear subdivision scheme suitable for univariate data, plane curves and discrete triangulated surfaces, while keeping the complexity acceptable. The proposed technique is compared to linear subdivision methods hav ...

2003

Unsupervised Selective Anisotropic Feature Diffusion for Cortical Surface Registration

Jean-Philippe Thiran, Olivier Cuisenaire

In this paper we use the theory of geometric curve and surface evolution to diffuse an object preserving their important features. We do that using a curvature flow method with a novel influence function. The proposed influence function takes profit from t ...

EUROCAST2003

An Exact Method for Computing the Area Moments of Wavelet and Spline Curves

Michaël Unser, Thierry Blu, Mathews Jacob

We present a method for the exact computation of the moments of a region bounded by a curve represented by a scaling function or wavelet basis. Using Green's Theorem, we show that the computation of the area moments is equivalent to applying a suitable mul ...

IEEE2001

Exact Computation of Area Moments for Spline and Wavelet Curves

Michaël Unser, Thierry Blu, Mathews Jacob

We present an exact algorithm for the computation of the moments of a region bounded by a curve represented in a scaling function or wavelet basis. Using Green's theorem, we show that the computation of the area moments is equivalent to applying a suitable ...

IEEE2000

On the learning mechanism of adaptive filters

Ali H. Sayed

This paper highlights, both analytically and by simulations, some interesting phenomena regarding the behavior of ensemble-average learning curves of adaptive filters that may have gone unnoticed. Among other results, the paper shows that even ensemble-ave ...

IEEE2000

Digitization of Bezier curves and patches using discrete geometry

Roger Hersch

Existing algorithms for rendering Bezier curves and surfaces fall into two categories: iterative evaluation of the parametric equations (generally using forward differencing techniques) or recursive subdivision. In the latter case, all the algorithms rely ...

Springer-Verlag1999

Optimising and extending the geometrical modeller of a physics simulation framework

The design of highly complex particle detectors used in High Energy Physics involves both CAD systems and physics simulation packages like GEANT4. GEANT4 is able to exchange detector geometries with CAD systems, conforming to the Standard for the Exchange ...

1998