A geometric characterization of parametric cubic curves
ACM Transactions on Graphics (TOG)
Distance approximations for rasterizing implicit curves
ACM Transactions on Graphics (TOG)
Anti-Aliasing through the Use of Coordinate Transformations
ACM Transactions on Graphics (TOG)
Reliable two-dimensional graphing methods for mathematical formulae with two free variables
Proceedings of the 28th 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
Jim Blinn's Corner: Notation, Notation, Notation
Jim Blinn's Corner: Notation, Notation, Notation
Topologically reliable display of algebraic curves
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Filtering edges for gray-scale displays
SIGGRAPH '81 Proceedings of the 8th annual conference on Computer graphics and interactive techniques
Implicit and parametric curves and surfaces for computer aided geometric design
Implicit and parametric curves and surfaces for computer aided geometric design
Silhouette maps for improved texture magnification
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Bixels: picture samples with sharp embedded boundaries
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Interactive 3D distance field computation using linear factorization
I3D '06 Proceedings of the 2006 symposium on Interactive 3D graphics and games
Real-time GPU rendering of piecewise algebraic surfaces
ACM SIGGRAPH 2006 Papers
Resolution independent rendering of deformable vector objects using graphics hardware
ACM SIGGRAPH 2006 Sketches
Geelix.com: sharing gaming experiences
MULTIMEDIA '06 Proceedings of the 14th annual ACM international conference on Multimedia
Improved alpha-tested magnification for vector textures and special effects
ACM SIGGRAPH 2007 courses
IStar: A Raster Representation for Scalable Image and Volume Data
IEEE Transactions on Visualization and Computer Graphics
Real-time rendering of textures with feature curves
ACM Transactions on Graphics (TOG)
Interactive volume isosurface rendering using BT volumes
Proceedings of the 2008 symposium on Interactive 3D graphics and games
Precise vector textures for real-time 3D rendering
Proceedings of the 2008 symposium on Interactive 3D graphics and games
Performing efficient NURBS modeling operations on the GPU
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Random-access rendering of general vector graphics
ACM SIGGRAPH Asia 2008 papers
Technical Section: GPU-based rendering of curved polygons using simplicial coverings
Computers and Graphics
Design of information landscapes for cultural heritage content
Proceedings of the 3rd international conference on Digital Interactive Media in Entertainment and Arts
Proceedings of the Conference on High Performance Graphics 2009
Rendering of vector objects on curved surface using pivot triangle primitives
SIGGRAPH '09: Posters
Technical Section: Real-time path-based surface detail
Computers and Graphics
Extrusion and revolution mapping
ACM Transactions on Graphics (TOG)
Algorithm for generating snow based on GPU
ICIMCS '10 Proceedings of the Second International Conference on Internet Multimedia Computing and Service
An inexpensive bounding representation for offsets of quadratic curves
Proceedings of the ACM SIGGRAPH Symposium on High Performance Graphics
Surface parameterization of nonsimply connected planar Bézier regions
Computer-Aided Design
ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
GPU-accelerated path rendering
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Real-time multi-perspective rendering on graphics hardware
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
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We present a method for resolution independent rendering of paths and bounded regions, defined by quadratic and cubic spline curves, that leverages the parallelism of programmable graphics hardware to achieve high performance. A simple implicit equation for a parametric curve is found in a space that can be thought of as an analog to texture space. The image of a curve's Bézier control points are found in this space and assigned to the control points as texture coordinates. When the triangle(s) corresponding to the Bézier curve control hull are rendered, a pixel shader program evaluates the implicit equation for a pixel's interpolated texture coordinates to determine an inside/outside test for the curve. We extend our technique to handle anti-aliasing of boundaries. We also construct a vector image from mosaics of triangulated Bézier control points and show how to deform such images to create resolution independent texture on three dimensional objects.