Guaranteed ray intersections with implicit surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Robust ray intersection with interval arithmetic
Proceedings on Graphics interface '90
Surface rendering versus volume rendering in medical imaging: techniques and applications (panel)
Proceedings of the 7th conference on Visualization '96
Spline approximations of real algebraic surfaces
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Hue-balls and lit-tensors for direct volume rendering of diffusion tensor fields
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Mixing translucent polygons with volumes
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
3d Computer Graphics
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Multiscale Volume Representation by a DoG Wavelet
IEEE Transactions on Visualization and Computer Graphics
Strategies for Direct Volume Rendering of Diffusion Tensor Fields
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Approximating Digital 3D Shapes by Rational Gaussian Surfaces
IEEE Transactions on Visualization and Computer Graphics
The Transfer Function Bake-Off
IEEE Computer Graphics and Applications
An Extended Data-Flow Architecture for Data Analysis and Visualization
VIS '95 Proceedings of the 6th conference on Visualization '95
Optimization of basis functions for both reconstruction and visualization
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
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An implicit surface of a density function is the set of points at which the value of the function is equal to a fixed threshold. An object that is defined as the collection of points at which the density function value is above the threshold can be visualized by displaying the implicit surface. Some methods for the reconstruction of biological macromolecules from their electron microscopic projections produce density functions that are specified by a linear combination of smoothly-varying radially-symmetric basis functions of finite support, also known as blobs. When density functions are determined by such a blob representation, the implicit surfaces are smoothly varying and the normal at any point on such a surface can be analytically calculated. This property can be utilized to produce high-quality visualizations by raycasting. While raycasting tends to be computationally expensive, we present a methodology that uses techniques of computer graphics and image processing to significantly reduce the cost of visualization.