Principles of interactive computer graphics (2nd ed.)
Principles of interactive computer graphics (2nd ed.)
Fundamentals of interactive computer graphics
Fundamentals of interactive computer graphics
An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
Adaptive forward differencing for rendering curves and surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Computer Aided Geometric Design
The Metafont book
Integer forward differencing of cubic polynomials: analysis and algorithms
ACM Transactions on Graphics (TOG)
Anti-Aliasing through the Use of Coordinate Transformations
ACM Transactions on Graphics (TOG)
Scan line methods for displaying parametrically defined surfaces
Communications of the ACM
Bresenham's algorithm with Grey scale
Communications of the ACM
A parallel scan conversion algorithm with anti-aliasing for a general-purpose ultracomputer
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Anti-aliased line drawing using brush extrusion
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Curve-fitting with piecewise parametric cubics
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Scanline rendering of parametric surfaces
SIGGRAPH '82 Proceedings of the 9th 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
The use of grayscale for improved raster display of vectors and characters
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
A scan line algorithm for computer display of curved surfaces
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
Generating smooth 2-D monocolor line drawings on video displays
SIGGRAPH '79 Proceedings of the 6th annual conference on Computer graphics and interactive techniques
Human vision, anti-aliasing, and the cheap 4000 line display
SIGGRAPH '80 Proceedings of the 7th annual conference on Computer graphics and interactive techniques
The A -buffer, an antialiased hidden surface method
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Rendering cubic curves and surfaces with integer adaptive forward differencing
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Integer forward differencing of cubic polynomials: analysis and algorithms
ACM Transactions on Graphics (TOG)
Exact integer hybrid subdivision and forward differencing of cubics
ACM Transactions on Graphics (TOG)
Antialiasing of curves by discrete pre-filtering
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
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Cubic spline curves have many nice properties that make them desirable for use in comptuer graphics, and the advantages of antialiasing have been known for some years. Yet, only recently has there been any attempt at directly antialiasing spline curves. Parametric spline curves have resisted antialiasing in several ways: single segments may cross or become tangent to themselves. Cusps and small loops are easily missed entirely. Thus, short pieces of the curve cannot necessarily be rendered in isolation. Finding the distance from a pixel center to the curve accurately and efficiently—usually an essential part of antialiasing—is an unsolved problem. The method presented by Lien, Shantz, and Pratt [21] is a good start, although it considers pixel-length pieces of the curve in isolation and lacks robustness in the handling of certain curves. This paper provides an improved method that is more robust, and is able to handle intersections and tangency.