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Mathematical Approaches to Linear Vector Filtering of Color Images
S. J. Sangwine
  DOI :  10.2352/CGIV.2002.1.1.art00073  Published Online :  January 2002
Abstract

Very few linear vector filters are known for color images and this may be due to the lack of a mathematical framework. This paper explores some possible mathematical approaches to linear vector filtering, including hypercomplex numbers, and dot and cross products. It also considers the fundamental pixel level operations that must exist to make linear vector filtering possible.

Journal Title : Conference on Colour in Graphics, Imaging, and Vision
Publisher Name : Society of Imaging Science and Technology
Publisher Location : 7003 Kilworth Lane, Springfield, VA 22151, USA
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 DOI 10.2352/CGIV.2002.1.1.art00073
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S. J. Sangwine, "Mathematical Approaches to Linear Vector Filtering of Color Images"  in Proc. IS&T CGIV 2002 First European Conf. on Colour in Graphics, Imaging, and Vision,  2002,  pp 348 - 351,  https://doi.org/10.2352/CGIV.2002.1.1.art00073

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Copyright © Society for Imaging Science and Technology 2002
72010351
Conference on Colour in Graphics, Imaging, and Vision
conf colour graph imag vis
2158-6330
Society of Imaging Science and Technology
7003 Kilworth Lane, Springfield, VA 22151, USA
2158-6330(20020101)2002:1L.348;1-
cgiv_v2002n1/splitsection73.xml
/ist/cgiv/2002/00002002/00000001/art00073
Articles
Mathematical Approaches to Linear Vector Filtering of Color Images
SangwineS. J.
01012002
2002
1
348
351
2002
Very few linear vector filters are known for color images and this may be due to the lack of a mathematical framework. This paper explores some possible mathematical approaches to linear vector filtering, including hypercomplex numbers, and dot and cross products. It also considers the fundamental pixel level operations that must exist to make linear vector filtering possible.