NDLI: Guaranteed ray intersections with implicit surfaces

Content Provider	ACM Digital Library
Author	Barr, A. H. Kalra, D.
Abstract	In this paper, we present a robust and mathematically sound ray-intersection algorithm for implicit surfaces. The algorithm is guaranteed to numerically find the nearest intersection of the surface with a ray, and is guaranteed not to miss fine features of the surface. It does not require fine tuning or human choice of interactive parameters. Instead, it requires two upper bounds: "L" that limits the net rate of change of the implicit surface function f(x,y,z) and "G" that limits the rate of change of the gradient. We refer to an implicit surface with these rate limits as an "LG-implicit surface."Existing schemes to intersect a ray with an implicit surface have typically been guaranteed to work only for a limited set of implicit functions, such as quadric surfaces or polynomials, or else have been ad-hoc and have not been guaranteed to work. Our technique significantly extends the ability to intersect rays with implicit surfaces in a guaranteed fashion.
Starting Page	297
Ending Page	306
Page Count	10
File Format	PDF
ISBN	0897913124
DOI	10.1145/74333.74364
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1989-07-01
Publisher Place	New York
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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Guaranteed ray intersections with implicit surfaces