Bibliographic Details
| Title: |
On Floating-Point Normal Vectors. |
| Authors: |
Meyer, Quirin1, Süßmuth, Jochen1, Sußner, Gerd2, Stamminger, Marc1, Greiner, Günther1 |
| Source: |
Computer Graphics Forum. Jun2010, Vol. 29 Issue 4, p1405-1409. 5p. 5 Diagrams, 1 Chart. |
| Subjects: |
Vector processing (Computer science), Three-dimensional imaging, Errors, Floating-point arithmetic, Computer arithmetic, Parameter estimation |
| Abstract: |
In this paper we analyze normal vector representations. We derive the error of the most widely used representation, namely 3D floating-point normal vectors. Based on this analysis, we show that, in theory, the discretization error inherent to single precision floating-point normals can be achieved by 2 50.2 uniformly distributed normals, addressable by 51 bits. We review common sphere parameterizations and show that octahedron normal vectors perform best: they are fast and stable to compute, have a controllable error, and require only 1 bit more than the theoretical optimal discretization with the same error. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
