Fundamentals of interactive computer graphics
Fundamentals of interactive computer graphics
Generalized scanning technique for display of parametrically defined surfaces
IEEE Computer Graphics and Applications
An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
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
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Drawing antialiased cubic spline curves
ACM Transactions on Graphics (TOG)
Integer forward differencing of cubic polynomials: analysis and algorithms
ACM Transactions on Graphics (TOG)
Curve-drawing algorithms for Raster displays
ACM Transactions on Graphics (TOG)
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Rendering trimmed NURBS with adaptive forward differencing
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
A subdivision algorithm for computer display of curved surfaces.
A subdivision algorithm for computer display of curved surfaces.
Integer forward differencing of cubic polynomials: analysis and algorithms
ACM Transactions on Graphics (TOG)
Rendering curves and surfaces with hybrid subdivision and forward differencing
ACM Transactions on Graphics (TOG)
Low cost illumination computation using an approximation of light wavefronts
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Adaptive isocurve-based rendering for freeform surfaces
ACM Transactions on Graphics (TOG)
Quadratic Bezier triangles as drawing primitives
HWWS '98 Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Towards hardware implementation of loop subdivision
HWWS '00 Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Hardware outline character rasterization
EGGH'91 Proceedings of the Sixth Eurographics conference on Advances in Computer Graphics Hardware: rendering, visualization and rasterization hardware
Direct visualization of quadrics
EGGH'93 Proceedings of the Eighth Eurographics conference on Graphics Hardware
| Hi-index | 0.00 |
For most compute environments, adaptive forward differencing is much more efficient when performed using integer arithmetic than when using floating point. Previously low precision integer methods suffered from serious precision problems due to the error accumulation inherent to forward differencing techniques. This paper proposes several different techniques for implementing adaptive forward differencing using integer arithmetic, and provides an error analysis of forward differencing which is useful as a guide for integer AFD implementation. The proposed technique using 32 bit integer values is capable of rendering curves having more than 4K forward steps with an accumulated error of less than one pixel and no overflow problems. A hybrid algorithm employing integer AFD is proposed for rendering antialiased, texture-mapped bicubic surfaces.