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Efficient volume rendering on the body centered cubic lattice using box splines

Related publications (44)

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Nowadays, several techniques exist to render digital content such as graphics, audio, haptic, etc. Unfortunately, they require different faculties that cannot always be applied, e.g. providing a picture to a blind person would be useless. In this paper, we ...

2009

Advances in graphics hardware in recent years have led not only to a huge growth in the speed at which 3D data can be rendered, but also to a marked change in the way in which different data types can be displayed. In particular, point based rendering tech ...

2008

seeCell: Visualization and Tracking Dedicated to Cell Analysis

Melody Swartz, Robin Mange

This paper presents a method for the real-time tracking and rendering of dendritic cells in a stream of microscopes images, as implemented in the software seeCell (TM) developed by Visualbiotech (Mange, 2008). The main guideline is how computer graphics te ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Practical Box Splines for Reconstruction on the Body Centered Cubic Lattice

Dimitri Nestor Alice Van De Ville

We introduce a family of box splines for efficient, accurate, and smooth reconstruction of volumetric data sampled on the body-centered cubic (BCC) lattice, which is the favorable volumetric sampling pattern due to its optimal spectral sphere packing prope ...

IEEE2008

Exact Local Reconstruction Algorithms for Signals with Finite Rate of Innovation

Martin Vetterli, Thierry Blu, Pier Luigi Dragotti

Consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomial or piecewise sinusoidal signals, and call the number of degrees of freedom ...

2006

Hexagonal Versus Orthogonal Lattices: A New Comparison Using Approximation Theory

Dimitri Nestor Alice Van De Ville, Thierry Blu

We provide a new comparison between hexagonal and orthogonal lattices, based on approximation theory. For each of the lattices, we select the “natural” spline basis function as generator for a shift-invariant function space; i.e., the tensor-product B-spli ...

IEEE2005

Bio-inspired image enhancement for natural color images

Sabine Süsstrunk, Laurence Meylan

Capturing and rendering an image that fulfills the observer's expectations is a difficult task. This is due to the fact that the signal reaching the eye is processed by a complex mechanism before forming a percept, whereas a capturing device only retains t ...

2004

On the Approximation Power of Splines: Orthogonal Versus Hexagonal Lattices

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

Recently, we have proposed a novel family of bivariate, non-separable splines. These splines, called "hexsplines" have been designed to deal with hexagonally sampled data. Incorporating the shape of the Voronoi cell of a hexagonal lattice, they preserve th ...

NuHAG2003

High-Quality Isosurface Rendering with Exact Gradient

Michaël Unser, Philippe Thévenaz

We address the task of rendering by ray tracing the isosurface of a high-quality continuous spline model of volumetric discrete and regular data. By expressing the spline model as a sum of nonnegative B-splines, we are able to confine the potential locatio ...

IEEE2001

Least-Squares Image Resizing Using Finite Differences

Michaël Unser, Thierry Blu

We present an optimal spline-based algorithm for the enlargement or reduction of digital images with arbitrary (noninteger) scaling factors. This projection-based approach can be realized thanks to a new finite difference method that allows the computation ...

IEEE2001