Principles of interactive computer graphics (2nd ed.)
Principles of interactive computer graphics (2nd ed.)
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
Illumination for computer generated pictures
Communications of the ACM
Simulation of wrinkled surfaces
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
Numerical Methods
A scan line algorithm for computer display of curved surfaces
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
Computer display of curved surfaces.
Computer display of curved surfaces.
A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image rendering by adaptive refinement
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
An adaptive subdivision method for surface-fitting from sampled data
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Managing geometric complexity with enhanced procedural models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
The Reyes image rendering architecture
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Adaptive forward differencing for rendering curves and surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
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
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Geometric continuity, shape parameters, and geometric constructions for Catmull-Rom splines
ACM Transactions on Graphics (TOG)
Real-time rendering of trimmed surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
Drawing antialiased cubic spline curves
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Utilizing parametric hyperpatch methods for modeling and display of free-form solids
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Rendering curves and surfaces with hybrid subdivision and forward differencing
ACM Transactions on Graphics (TOG)
Interactive manipulation and display of surfaces in four dimensions
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Interactive display of large-scale NURBS models
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
The power of coherence: fast tessellation of surfaces
Proceedings of the twelfth annual symposium on Computational geometry
Accelerated walkthrough of large spline models
Proceedings of the 1997 symposium on Interactive 3D graphics
Animating rotation with quaternion curves
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
A Software Testbed for the Development of 3D Raster Graphics Systems
ACM Transactions on Graphics (TOG)
Synthetic Image Generation with a Lens and Aperture Camera Model
ACM Transactions on Graphics (TOG)
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Computer rendering of stochastic models
Communications of the ACM
Watertight tessellation using forward differencing
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Multiresolution rendering by sewing trimmed NURBS surfaces
Proceedings of the seventh ACM symposium on Solid modeling and applications
Early investigation, formulation and use of NURBS at Boeing
ACM SIGGRAPH Computer Graphics
Interactive Display of Large NURBS Models
IEEE Transactions on Visualization and Computer Graphics
Spatial Transformations for Rapid Scan-Line Surface Shadowing
IEEE Computer Graphics and Applications
The Scaling Behavior of Viewing Transformations
IEEE Computer Graphics and Applications
Budget sampling of parametric surface patches
I3D '03 Proceedings of the 2003 symposium on Interactive 3D graphics
Ray tracing algebraic surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
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
A more flexible image generation environment
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
Ray tracing parametric patches
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
An algorithm and data structure for 3D object synthesis using surface patch intersections
SIGGRAPH '82 Proceedings of the 9th 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
A software test-bed for the development of 3-D raster graphics systems
SIGGRAPH '81 Proceedings of the 8th annual conference on Computer graphics and interactive techniques
A lens and aperture camera model for synthetic image generation
SIGGRAPH '81 Proceedings of the 8th annual conference on Computer graphics and interactive techniques
A 3-dimensional representation for fast rendering of complex scenes
SIGGRAPH '80 Proceedings of the 7th annual conference on Computer graphics and interactive techniques
A linear time exact hidden surface algorithm
SIGGRAPH '80 Proceedings of the 7th annual conference on Computer graphics and interactive techniques
Invisibility coherence for faster scan-line hidden surface algorithms
SIGGRAPH '84 Proceedings of the 11th 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
Span filtering: an optimization scheme for volume visualization of large finite element models
VIS '91 Proceedings of the 2nd conference on Visualization '91
A mapping-independent primitive for the triangulation of parametric surfaces
Graphical Models - Special issue on SMI 2002
Stochastic modeling in computer graphics
ACM SIGGRAPH Computer Graphics - Preliminary papers to be published in Communications of the ACM
DiagSplit: parallel, crack-free, adaptive tessellation for micropolygon rendering
ACM SIGGRAPH Asia 2009 papers
A new class of algorithms for the processing of parametric curves
Computer-Aided Design
Razor: An architecture for dynamic multiresolution ray tracing
ACM Transactions on Graphics (TOG)
Prediction of socioeconomic levels using cell phone records
UMAP'11 Proceedings of the 19th international conference on User modeling, adaption, and personalization
New 3d graphics rendering engine architecture for direct tessellation of spline surfaces
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
On the relationship between socio-economic factors and cell phone usage
Proceedings of the Fifth International Conference on Information and Communication Technologies and Development
Extensions for 3d graphics rendering engine used for direct tessellation of spline surfaces
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Proceedings of the 4th ACM/IEEE International Conference on Information and Communication Technologies and Development
A VLSI chip for ray tracing bicubic patches
EGGH'86 Proceedings of the First Eurographics conference on Advances in Computer Graphics Hardware
An architecture for ray - bezier patch intersection
EGGH'93 Proceedings of the Eighth Eurographics conference on Graphics Hardware
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This paper presents three scan line methods for drawing pictures of parametrically defined surfaces. A scan line algorithm is characterized by the order in which it generates the picture elements of the image. These are generated left to right, top to bottom in much the same way as a picture is scanned out on a TV screen. Parametrically defined surfaces are those generated by a set of bivariate functions defining the X, Y, and Z position of points on the surface. The primary driving mechanism behind such an algorithm is the inversion of the functions used to define the surface. In this paper, three different methods for doing the numerical inversion are presented along with an overview of scan line methods.