SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
Fast volume rendering using a shear-warp factorization of the viewing transformation
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Introduction to volume rendering
Introduction to volume rendering
Using distance maps for accurate surface representation in sampled volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Adding shadows to a texture-based volume renderer
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
Opacity-weighted color interpolation, for volume sampling
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
The VolumePro real-time ray-casting system
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Illumination for computer generated pictures
Communications of the ACM
IEEE Computer Graphics and Applications
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Shear-image order ray casting volume rendering
I3D '03 Proceedings of the 2003 symposium on Interactive 3D graphics
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A rigorous mathematical review of ray tracing is presented. The concept of a generic voxel decoder acting on flexible voxel formats is introduced. The necessity of interpolating opacity weighted colors is proved, using a new definition of the blending process in terms of functional integrals. The continuum limit of the discrete opacity accumulation formula is presented, and its convexity properties are investigated. The issues pertaining to interpolation/classification order are discussed. The lighting equation is expressed in terms of opacity weighted colors. The multi-resolution (along the ray) correction of the opacity-weighted color is derived. The mathematics of filtering on the image plane are studied, and an upper limit of the local pixel size on the image plane is obtained. Interpolation of pixel values on the image plane is shown to be inequivalent to blending of interpolated samples.