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Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves
ID
Farouki, Rida A. M. T.
(
Author
),
ID
Knez, Marjetka
(
Author
),
ID
Vitrih, Vito
(
Author
),
ID
Žagar, Emil
(
Author
)
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MD5: 26C1B661317B1D9E7C0330F2E1FCA5BF
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https://www.sciencedirect.com/science/article/pii/S0377042724004849
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Abstract
By interpreting planar polynomial curves as complex-valued functions of a real parameter, an inner product, norm, metric function, and the notion of orthogonality may be defined for such curves. This approach is applied to the complex pre-image polynomials that generate planar Pythagorean-hodograph (PH) curves, to facilitate the implementation of bounded modifications of them that preserve their PH nature. The problems of bounded modifications under the constraint of fixed curve end points and end tangent directions, and of increasing the arc length of a PH curve by a prescribed amount, are also addressed.
Language:
English
Keywords:
complex polynomials
,
inner product
,
norm
,
metric
,
Pythagorean-hodograph curves
,
bounded modification
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
FMF - Faculty of Mathematics and Physics
Publication status:
Published
Publication version:
Version of Record
Year:
2025
Number of pages:
16 str.
Numbering:
Vol. 456, art. 116235
PID:
20.500.12556/RUL-160684
UDC:
519.6
ISSN on article:
0377-0427
DOI:
10.1016/j.cam.2024.116235
COBISS.SI-ID:
206109955
Publication date in RUL:
03.09.2024
Views:
70
Downloads:
58
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Record is a part of a journal
Title:
Journal of computational and applied mathematics
Shortened title:
J. comput. appl. math.
Publisher:
Elsevier
ISSN:
0377-0427
COBISS.SI-ID:
27496960
Licences
License:
CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:
The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Projects
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
P1-0288
Name:
Algebra in njena uporaba
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
N1-0137
Name:
Nelinearni valovi in spektralna teorija
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
N1-0237
Name:
Holomorfne parcialne diferencialne relacije
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
J1-3005
Name:
Kompleksna in geometrijska analiza
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
P1-0404
Name:
Matematično modeliranje in enkripcija: od teoretičnih konceptov do vsakodnevnih aplikacij
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
N1-0296
Name:
Gladki izogeometrični prostori zlepkov nad večdelnimi domenami
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
N1-0210
Name:
Uporaba grafov v problemih ohranjevalcev
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
J1-4414
Name:
ProBiS-Fold pristop za določanje vezavnih mest za celoten strukturni človeški proteom pri odkrivanju zdravil
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