| Title: | Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves |
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| Authors: | ID Farouki, Rida A. M. T. (Author)
ID Knez, Marjetka (Author)
ID Vitrih, Vito (Author)
ID Žagar, Emil (Author) |
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| Files: |  PDF - Presentation file, download (3,60 MB)
MD5: 792AD47B41AE144A4396EE0D17E722A7
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0377042724004849
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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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. |
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| Keywords: | complex polynomials, inner product, norm, metric, Pythagorean-hodograph curves, bounded modification |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.03.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | 16 str. |
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| Numbering: | Vol. 456, [article no.] 116235 |
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| UDC: | 519.6 |
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| ISSN on article: | 0377-0427 |
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| DOI: | 10.1016/j.cam.2024.116235  |
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| COBISS.SI-ID: | 206109955 |
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| Note: |
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| Publication date in DiRROS: | 04.09.2024 |
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| Views: | 7 |
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| Downloads: | 2 |
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