Reversibility of Minkowski Difference via Generalized Laguerre Geometry
Result description
In the article, there has been studied the problem of reversibility of Minkowski difference (also called Pontryagin difference). The problem of reversibility means whether there holds or not the identity (A-M)+M=A for a given pair of sets A,M. In the article there has been used the generalized Laguerre geometry defined at former conferences GCG. Moreover there has been introduced the characterization theorem giving the relationship between the reversibility of Minkowski Difference and existence of a representation satisfying certain conditions.
Keywords
Minkowski sumMinkowski differencePontryagin differencereversibilitygeneralized Laguerre geometryrepresentationGMATmedial axis transform
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Reversibility of Minkowski Difference via Generalized Laguerre Geometry
Original language description
In the article, there has been studied the problem of reversibility of Minkowski difference (also called Pontryagin difference). The problem of reversibility means whether there holds or not the identity (A-M)+M=A for a given pair of sets A,M. In the article there has been used the generalized Laguerre geometry defined at former conferences GCG. Moreover there has been introduced the characterization theorem giving the relationship between the reversibility of Minkowski Difference and existence of a representation satisfying certain conditions.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Basic information
Result type
O - Miscellaneous
CEP
BA - General mathematics
Year of implementation
2007