Ray-tracing Procedural Displacement Shaders (1998)  (Make Corrections)  (13 citations)
Wolfgang Heidrich, Hans-Peter Seidel
Graphics Interface

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Abstract: Displacement maps and procedural displacement shaders are a widely used approach of specifying geometric detail and increasing the visual complexity of a scene. While it is relatively straightforward to handle displacement shaders in pipeline based rendering systems such as the Reyes-architecture, it is much harder to efficiently integrate displacement-mapped surfaces in ray-tracers. Many commercial ray-tracers tessellate the surface into a multitude of small triangles. This introduces a series ... (Update)

Context of citations to this paper:   More

.... 93 [2] as a tool for validated numerics [20] Since then, AA has been applied to the robust solution of several graphics problems [4,6,7,11,12], where it has successfully replaced interval arithmetic [16] In AA, a quantity x is represented as an affine form, x = x 0 x...

.... one of these tools, and its use in interval methods has resulted in faster algorithms for several problems in computer graphics [6, 5, 16, 15, 4]. A natural next step is to use affine arithmetic instead of interval arithmetic in the global processing algorithms we have...

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Affine Arithmetic: Concepts and Applications - de Figueiredo, Stolfi (2003)   (Correct)
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7:   Sampling procedural shaders using affine arithmetic - Heidrich, Slusallek et al. - 1998
6:   Interval Analysis (context) - Moore - 1966
5:   Surface intersection using affine arithmetic - de Figueiredo - 1996

BibTeX entry:   (Update)

W. Heidrich and H.-P. Seidel. Ray-tracing procedural displacement shaders. In Proceedings of Graphics Interface '98, 1998. http://citeseer.nj.nec.com/article/heidrich98raytracing.html   More

@inproceedings{ heidrich98raytracing,
    author = "Wolfgang Heidrich and Hans-Peter Seidel",
    title = "Ray-Tracing Procedural Displacement Shaders",
    booktitle = "Graphics Interface",
    pages = "8--16",
    year = "1998",
    url = "citeseer.nj.nec.com/article/heidrich98raytracing.html" }
Citations (may not include all citations):
309   Interval Analysis (context) - Moore - 1966
131   An image synthesizer (context) - Perlin - 1985
116   Global and local deformations of solid primitives (context) - Barr - 1984
69   The RenderMan Companion (context) - Upstill - 1990
66   Interval analysis for computer graphics - Snyder - 1992
63   Simulation of wrinkled surfaces (context) - Blinn - 1978
52   Interval arithmetic and recursive subdivision for implicit f.. (context) - Duff - 1992
46   Texturing and Modeling: A Procedural Approach (context) - Ebert, Musgrave et al. - 1994    
45   A language for shading and lighting calculations (context) - Hanrahan, Lawson - 1990
37   Guaranteed ray intersections with implicit surfaces (context) - Kalra, Barr - 1989
37   Ray tracing trimmed rational surface patches (context) - Nishita, Sederberg et al. - 1990
23   Rendering complex scenes with memorycoherent ray tracing - Pharr, Kolb et al. - 1997
16   The synthesis and rendering of eroded fractal terrains - Musgrave, Kolb et al. - 1989
13   Generative Modeling for Computer graphics and CAD: Symbolic .. (context) - Snyder - 1992
10   Sampling procedural shaders using affine arithmetic - Heidrich, Slusallek et al. - 1998
10   Ray tracing deformed surfaces (context) - Barr - 1986
7   Geometry caching for ray-tracing displacement maps - Pharr, Hanrahan - 1996
5   OpenAlias Manual (context) - Wavefront - 1996
4   Affine arithmetic and its applications to computer graphics - ao, Comba et al. - 1993
4   Number 120 in Lecture notes in computer science (context) - Rall, Techniques - 1981
3   Surface intersection using affine arithmetic (context) - Figueiredo - 1996
2   Adaptive enumeration of implicit surfaces with affine arithm.. - Figueiredo, Stolfi - 1996
1   A compilation of affine approximations for math library func.. (context) - Heidrich - 1997



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