NDLI: PNORMS: platonic derived normals for error bound compression

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PNORMS: platonic derived normals for error bound compression

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PNORMS: platonic derived normals for error bound compression

Content Provider	ACM Digital Library
Author	Buxton, Bernard Francis Oliveira, João Fradinho
Abstract	3D models of millions of triangles invariably repeatedly use the same 12-byte unit normals. Several bit-wise compression algorithms exist for efficient storage and progressive transmission and visualization of normal vectors. However such methods often incur a reconstruction time penalty which, in the absence of dedicated hardware acceleration, make real-time rendering with such compression/reconstruction methods prohibitive. In particular, several methods use a subdivided octahedron to create look-up normals, where the bit length of normal indices varies according to the number of subdivisions used. Not much attention has been given to the error in the normals using such schemes. We show that different Platonic solids create different amounts of normals for each subdivision or bit length in bit-wise compression terms, with different distributions and associated errors. In particular we show that subdividing the icosahedron gives a smaller maximum and mean error than its counterparts Platonic solids. This result has led us to create an alternative to bit-wise compression of normal ids for real-time rendering, where we use a x5 subdivided icosahedron to create 2.5 times more normals than a x5 subdivided octahedron, with less error, and exploit the advantages of absolute normal indices that do not require reconstruction at run-time, whilst still having memory savings of over 83% when using 2-byte indices.We present results using 2-byte indices for a target max error of 1.3° degrees and 4-byte for a max error of <0.1°. We present two hierarchical encoding methods, a fast method which allows one to dynamically encode large sets of modified triangles, useful for task, and a slower but more accurate method that caters for symmetry present in the subdivision solid being used. Different levels of a database allow for different cartoon like shading effects. The advantages of these databases are that they can be re-used for any object, and have studied bounds on the maximum errors of normals for yet to be known geometry such as new objects to be added to a scene. This error bound is also independent of the size and normal distribution of the object that we wish to add. In order to visualize the colour coding distribution of the errors in the normals of large models a simple 1-byte color encoding algorithm was developed.
Starting Page	324
Ending Page	333
Page Count	10
File Format	PDF
ISBN	1595933212
DOI	10.1145/1180495.1180561
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2006-11-01
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Colour compression Normal compression Error bound Run-time encoding
Content Type	Text
Resource Type	Article

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