Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
Footprint evaluation for volume rendering
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Frequency domain volume rendering
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
VVS '89 Proceedings of the 1989 Chapel Hill workshop on Volume visualization
A rendering algorithm for visualizing 3D scalar fields
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
V-buffer: visible volume rendering
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Reconstruction filters in computer-graphics
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Super resolution volume rendering hardware
EGGH'95 Proceedings of the Tenth Eurographics conference on Graphics Hardware
A comparison of normal estimation schemes
VIS '97 Proceedings of the 8th conference on Visualization '97
An anti-aliasing technique for splatting
VIS '97 Proceedings of the 8th conference on Visualization '97
Using distance maps for accurate surface representation in sampled volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Semi-automatic generation of transfer functions for direct volume rendering
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Design of accurate and smooth filters for function and derivative reconstruction
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Size preserving pattern mapping
Proceedings of the conference on Visualization '98
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
A practical evaluation of popular volume rendering algorithms
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
Mastering windows: improving reconstruction
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
Feature-preserving volume filtering
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Advanced algorithmic approaches to medical image segmentation
Reconstruction Error Characterization and Control: A Sampling Theory Approach
IEEE Transactions on Visualization and Computer Graphics
Evaluation and Design of Filters Using a Taylor Series Expansion
IEEE Transactions on Visualization and Computer Graphics
Ray Casting Architectures for Volume Visualization
IEEE Transactions on Visualization and Computer Graphics
Alias-Free Voxelization of Geometric Objects
IEEE Transactions on Visualization and Computer Graphics
Fast Ray-Tracing of Rectilinear Volume Data Using Distance Transforms
IEEE Transactions on Visualization and Computer Graphics
Volume Illustration: Nonphotorealistic Rendering of Volume Models
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
Opportunities for Visual Computing in Healthcare
IEEE MultiMedia
Evaluation of Image Quality in Medical Volume Visualization: The State of the Art
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part II
Minimum Reliable Scale Selection in 3D
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visualization in Medicine: Theory, Algorithms, and Applications
Visualization in Medicine: Theory, Algorithms, and Applications
Proceedings of the 26th Spring Conference on Computer Graphics
Interactively controlling the smoothing and postaliasing effects in volume visualization
Proceedings of the 25th Spring Conference on Computer Graphics
Augmented reality approaches in intelligent health technologies and brain lesion detection
ARES'11 Proceedings of the IFIP WG 8.4/8.9 international cross domain conference on Availability, reliability and security for business, enterprise and health information systems
High-quality volume rendering with resampling in the frequency domain
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
Spline-based gradient filters for high-quality refraction computations in discrete datasets
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
Data level comparison of surface classification and gradient filters
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
Accelerated, high-quality refraction computations for volume graphics
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
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Gradient information is used in volume rendering to classify and color samples along a ray. In this paper, we present an analysis of the theoretically ideal gradient estimator and compare it to some commonly used gradient estimators. A new method is presented to calculate the gradient at arbitrary sample positions, using the derivative of the interpolation filter as the basis for the new gradient filter. As an example, we will discuss the use of the derivative of the cubic spline. Comparisons with several other methods are demonstrated. Computational efficiency can be realized since parts of the interpolation computation can be leveraged in the gradient estimation.