Title: | Triangular PN patches subject to surface-area constraints |
Authors: | Bizzarri, Michal Lávička, Miroslav |
Citation: | BIZZARRI, M., LÁVIČKA, M. Triangular PN patches subject to surface-area constraints. Proceedings of the 17th International Conference on Mathematical Methods in Science and Engineering. Costa Ballena, Rota, Cádiz (Spain): CMMSE, 2017. s. 333-341. ISBN 978-84-617-8694-7. |
Issue Date: | 2017 |
Publisher: | CMMSE |
Document type: | konferenční příspěvek conferenceObject |
URI: | http://hdl.handle.net/11025/29273 |
ISBN: | 978-84-617-8694-7 |
Keywords: | G1 Hermiteova interpolace;PN povrchy;prvek polynomiální oblasti |
Keywords in different language: | G1 Hermite interpolation;PN surfaces;polynomial area element |
Abstract in different language: | This paper is devoted to the construction of polynomial surfaces with Pythagorean normals (PN surfaces) interpolating given data subject to prescribed constraints on the surface area of the patch. This is a problem analogous to the interpolation with Pythagorean hodograph (PH) curves satisfying the condition on the arc length. The special structure of PN surfaces allows the surface-area condition to be expressed as algebraic constraints on the surfaces coefficients. We employ these shapes for solving the $G^1$ Hermite interpolation problem by triangular PN patches with prescribed surface area. The presented technique is based on interpolating points on the unit sphere and consequently on solving a system of several linear and one quadratic equations. We show that for generic input data there exist at most two quartic PN patches depending on the particular value of the prescribed surface area. |
Rights: | Plný text není přístupný. © CMMSE |
Appears in Collections: | OBD Konferenční příspěvky / Conference Papers (KMA) |
Files in This Item:
File | Size | Format | |
---|---|---|---|
bizzarri_cmmse.pdf | 671,61 kB | Adobe PDF | View/Open Request a copy |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/29273
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.