EXTRACTION
OF ALGEBRAIC PRIMITIVES FROM IMAGES
1. Extraction of non-Archimedean
(p-adic) primitives
from texture images
Mathematical
foundations:
a) theory of non-Archimedeally normalized algebraic number fields;
b) stochastic properties of prime numbers.
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Original
texture fragment
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Two primitives
for "good" prime p=13
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Single
primitive for "good" prime p=29
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No primitives
extracted for "bad" prime p=13
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Primitives extraction from real structures
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Original
texture fragment
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Extracted
primitive
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Primitive
binarization
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Publications:
1. Proc. of the 7th Intern. Conf. on Comp. Analysis of Images and Pattern
(CAIP’97), Springer. LNCS 1296, pp.154-161.
2. Method of p-adic Resonance
for Textures Analysis Proc., Int. Conf. GraphiCon 2000.
2. Extraction of locally symmetric primitives
Mathematical
foundations:
ŕ) discrete transforms with a basis of Gaussian periods of algebraic number
fields;
b) multi-dimensional image representation.
Original image
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Image+ noise |
Primitive
extraction at a bad "sliding window" position
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"Window"
center coincides
with symmetry center |
Binary
locally symmetric primitives
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Publications:
1. Chernov V.M.Proc. SPIE, 1998, v. 2363, pp. 233-237.
2. Chernov V.M. Spectral Method of Algebraic Primitives Extracting Based
on Multidimensional Images Representation. In: D.Chetverikov., T.Sziranyi
(Eds) Fundamental Structural Properties in Image and Pattern Analysis 1999.Schriftenreihe
der Oesterreichischen Computer Gesellschaft. B.130. S. 169-179.