Publications
English only   BIG > Publications > Isosurface Rendering

CONTENTS
Home Page
News & Events
People
Publications
Tutorials and Reviews
Research
Demos

PDF
Postscript
All BibTeX References

# High-Quality Isosurface Rendering with Exact Gradient

## P. Thévenaz, M. Unser

### Proceedings of the 2001 IEEE International Conference on Image Processing (ICIP'01), Θεσσαλονίκη (Thessaloniki), Ελληνική Δημοκρατία (Hellenic Republic), October 7-10, 2001, vol. I, pp. 854-857.

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 location of the isosurface within a thin binary shell. We then show how to use the space-embedding property of splines to further shrink this shell to essentially a single-voxel width. We also propose a new illumination model that highlights the outline of the rendered isosurface, which provides for a sensitive test of the perceived quality of the rendering. We present experiments to support our claims, along with an efficient algorithm to compute simultaneously an array of B-splines and of its derivatives.

Erratum

• Section 5, first equation: the B-spline last argument is incorrect. It should read (2 x - k - ( (n + 1) mod 2) ⁄ 2) instead of (2 x - k - (n mod 2) ⁄ 2).

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/thevenaz0102.html,
AUTHOR="Th{\'{e}}venaz, P. and Unser, M.",
TITLE="High-Quality Isosurface Rendering with Exact Gradient",
BOOKTITLE="Proceedings of the 2001 {IEEE} International Conference
on Image Processing ({ICIP'01})",
YEAR="2001",
editor="",
volume="{I}",
series="",
pages="854--857",
address="{$\mathit{\Theta}$}{$\varepsilon$}{$\sigma$}{$\sigma$}{$\alpha$}{$\lambda$}{$o$}{$\nu$}{$\acute{\iota}$}{$\kappa$}{$\eta$}
(Thessaloniki),
{$E$}{$\lambda$}{$\lambda$}{$\eta$}{$\nu$}{$\iota$}{$\kappa$}{$\acute{\eta}$}
{$\Delta$}{$\eta$}{$\mu$}{$o$}{$\kappa$}{$\rho$}{$\alpha$}{$\tau$}{$\acute{\iota}$}{$\alpha$}
(Hellenic Republic)",
month="October 7-10,",
organization="",
publisher="",
note="")


© 2001 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.