APPROXIMATION OF GRANULAR TEXTURES BY QUADRIC SURFACES

Authors
PHILIPP S SMADJA M
Citation
S. Philipp et M. Smadja, APPROXIMATION OF GRANULAR TEXTURES BY QUADRIC SURFACES, Pattern recognition, 27(8), 1994, pp. 1051-1063
Citations number
23
Categorie Soggetti
Computer Sciences, Special Topics","Engineering, Eletrical & Electronic","Computer Science Artificial Intelligence
Journal title
Pattern recognition → ACNP
ISSN journal
00313203
Volume
27
Issue
8
Year of publication
1994
Pages
1051 - 1063
Database
ISI
SICI code
0031-3203(1994)27:8<1051:AOGTBQ>2.0.ZU;2-M
Abstract
The method to compute the best biquadratic form approximating an image on neighbourhoods of sizes 3 x 3 to 9 x 9 pixels is given. When this quadric surface is an elliptic paraboloid, various geometric parameter s are expressed in terms of quadric coefficients, they are the exact p osition of the apex, the height, direction, eccentricity, projected ar ea, and mean and Gaussian curvatures. Two examples of approximation by elliptic paraboloids are then presented on two kinds of images: radio graphs of metallic pieces and histological sections.