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