On a new kind of 2-periodic trigonometric interpolation
Applications of Mathematics (1996)
- Volume: 41, Issue: 6, page 401-410
- ISSN: 0862-7940
Access Full Article
top
Abstract
topHow to cite
topJiang, Tianzi, and Ma, Songde. "On a new kind of 2-periodic trigonometric interpolation." Applications of Mathematics 41.6 (1996): 401-410. <http://eudml.org/doc/32958>.
@article{Jiang1996,
abstract = {It is well-known that the interpolation theory plays an important role in many fields of computer vision, especially in surface reconstruction. In this paper, we introduce a new kind of 2-period interpolation of functions with period $2\pi $. We find out the necessary and sufficient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polynomial is given. Our interpolation is of practical significance. Our results provide the theoretical basis for using our interpolation in practical problems.},
author = {Jiang, Tianzi, Ma, Songde},
journal = {Applications of Mathematics},
keywords = {Interpolation; trigonometric polynomial; regularity; computer vision; interpolation; trigonometric polynomial; regularity; computer vision},
language = {eng},
number = {6},
pages = {401-410},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a new kind of 2-periodic trigonometric interpolation},
url = {http://eudml.org/doc/32958},
volume = {41},
year = {1996},
}
TY - JOUR
AU - Jiang, Tianzi
AU - Ma, Songde
TI - On a new kind of 2-periodic trigonometric interpolation
JO - Applications of Mathematics
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 6
SP - 401
EP - 410
AB - It is well-known that the interpolation theory plays an important role in many fields of computer vision, especially in surface reconstruction. In this paper, we introduce a new kind of 2-period interpolation of functions with period $2\pi $. We find out the necessary and sufficient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polynomial is given. Our interpolation is of practical significance. Our results provide the theoretical basis for using our interpolation in practical problems.
LA - eng
KW - Interpolation; trigonometric polynomial; regularity; computer vision; interpolation; trigonometric polynomial; regularity; computer vision
UR - http://eudml.org/doc/32958
ER -
References
top- Birkhoff Interpolation, Addison-Wesley Publishing Co., Reading, Mass., 1983. (1983) MR0680938
- 2-periodic lacunary trigonometric interpolation: case, Proc. Conf. on Constructive Theory of Functions’87, Varna, Bulgaria, pp. 420–426.
- A 2-periodic Trigonometric Interpolation Problem, Approx. Theory and its Appl. 8 (1992), no. 4, 1–16. (1992) MR1212842
- 10.1007/BF01953973, Acta Math. Hungar. 47 (1986), 361–370. (1986) Zbl0694.42006MR0854522DOI10.1007/BF01953973
- On the trigonometric interpolation and the entire interpolation, Approx. Theory and its Appl. 6 (1990), no. 4, 85–106. (1990) Zbl0724.42005MR1106069
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.