Efficient algorithms for 3D scan-conversion of parametric curves, surfaces, and volumes
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Analytic antialiasing with prism splines
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Quadrature prefiltering for high quality antialiasing
ACM Transactions on Graphics (TOG)
Object voxeliztion by filtering
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
An accurate method for voxelizing polygon meshes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Integrated analytic spatial and temporal anti-aliasing for polyhedra in 4-space
SIGGRAPH '85 Proceedings of the 12th 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
Alias-Free Voxelization of Geometric Objects
IEEE Transactions on Visualization and Computer Graphics
Filtering high quality text for display on raster scan devices
SIGGRAPH '81 Proceedings of the 8th annual conference on Computer graphics and interactive techniques
A hidden-surface algorithm with anti-aliasing
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
Synthetic texturing using digital filters
SIGGRAPH '80 Proceedings of the 7th annual conference on Computer graphics and interactive techniques
An analytic visible surface algorithm for independent pixel processing
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Volume sampled voxelization of geometric primitives
VIS '93 Proceedings of the 4th conference on Visualization '93
High-quality spatio-temporal rendering using semi-analytical visibility
ACM SIGGRAPH 2011 papers
Transformation Between Continuous and Discrete Representations of Images: A Perceptual Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
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This paper presents an analytic formulation for anti-aliased sampling of 2D polygons and 3D polyhedra. Our framework allows the exact evaluation of the convolution integral with a linear function defined on the polytopes. The filter is a spherically symmetric polynomial of any order, supporting approximations to refined variants such as the Mitchell-Netravali filter family. This enables high-quality rasterization of triangles and tetrahedra with linearly interpolated vertex values to regular and non-regular grids. A closed form solution of the convolution is presented and an efficient implementation on the GPU using DirectX and CUDA C is described. © 2012 Wiley Periodicals, Inc.