Hermite interpolation with HE-splines
Result description
Hypo/epicycloids (shortly HE-cycloids) are well-known curves, in detail studied in classical geometry. Hence, one may wonder what new can be said about these traditional geometric objects. It has been proved recently, cf. [12], that all rational HE-cycloids are curves with rational offsets, i.e. they belong to the class of rational Pythagorean hodograph curves. In this paper, we present an algorithm for G1 Hermite interpolation with hypo/epicycloidal arcs which results from their support function representation.
Keywords
HypocycloidsepicycloidsPythagorean hodograph curvesrational offsetssupport functionHermite interpolation
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
Hermite interpolation with HE-splines
Original language description
Hypo/epicycloids (shortly HE-cycloids) are well-known curves, in detail studied in classical geometry. Hence, one may wonder what new can be said about these traditional geometric objects. It has been proved recently, cf. [12], that all rational HE-cycloids are curves with rational offsets, i.e. they belong to the class of rational Pythagorean hodograph curves. In this paper, we present an algorithm for G1 Hermite interpolation with hypo/epicycloidal arcs which results from their support function representation.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 29th Conference on Geometry and Graphics
ISBN
80-86195-61-9
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
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Publisher name
Polyglot
Place of publication
Liberec
Event location
Doubice
Event date
Sep 10, 2009
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
CEP
BA - General mathematics
Year of implementation
2009