Signal Representation and Signal Processing using Operators
1992 (English)Report (Other academic)
The topic of this report is signal representation in the context of hierarchical image processing. An overview of hierarchical processing systems is included as well as a presentation of various approaches to signal representation, feature representation and feature extraction. It is claimed that image hierarchies based on feature extraction, so called feature hierarchies, demand a signal representation other than the standard spatial or linear representation used today. A new representation, the operator representation is developed. It is based on an interpretation of features in terms of signal transformations. This representation has no references to any spatial ordering of the signal element and also gives an explicit representation of signal features. Using the operator representation, a generalization of the standard phase concept in image processing is introduced. Based on the operator representation, two algorithms for extraction of feature values are presented. Both have the capability of generating phase invariant feature descriptors. It is claimed that the operator representation in conjunction with some appropriate feature extraction algorithm is well suited as a general framework for defining multi level feature hierarchies. The report contains an appendical chapter containing the mathematical details necessary to comprehend the presentation.
Place, publisher, year, edition, pages
Linköping, Sweden: Linköping University, Department of Electrical Engineering , 1992. , 120 p.
LiTH-ISY-I, ISSN 8765-4321 ; 1387
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-53410ISRN: LiTH-ISY-I-1387OAI: oai:DiVA.org:liu-53410DiVA: diva2:288284