Interactive isosurfaces with quadratic C1 splines on truncated octahedral partitions

Alexander Marinc; Thomas Kalbe; Markus Rhein; Michael Goesele

doi:10.1117/12.876105

24 January 2011 Interactive isosurfaces with quadratic C¹ splines on truncated octahedral partitions

Alexander Marinc, Thomas Kalbe, Markus Rhein, Michael Goesele

Proceedings Volume 7868, Visualization and Data Analysis 2011; 786808 (2011) https://doi.org/10.1117/12.876105
Event: IS&T/SPIE Electronic Imaging, 2011, San Francisco Airport, California, United States

Abstract

The reconstruction of a continuous function from discrete data is a basic task in many applications such as the visualization of 3D volumetric data sets. We use a local approximation method for quadratic C¹ splines on uniform tetrahedral partitions to achieve a globally smooth function. The spline is based on a truncated octahedral partition of the volumetric domain, where each truncated octahedron is further split into a fixed number of disjunct tetrahedra. The Bernstein-Bézier coefficients of the piecewise polynomials are directly determined by appropriate combinations of the data values in a local neighborhood. As previously shown, the splines provide an approximation order two for smooth functions as well as their derivatives. We present the first visualizations using these splines and show that they are well-suited for GPU-based, interactive high-quality visualization of isosurfaces from discrete data.

Citation Download Citation

Alexander Marinc, Thomas Kalbe, Markus Rhein, and Michael Goesele "Interactive isosurfaces with quadratic C¹ splines on truncated octahedral partitions", Proc. SPIE 7868, Visualization and Data Analysis 2011, 786808 (24 January 2011); https://doi.org/10.1117/12.876105

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available