| Title:
|
Relation between algebraic and geometric view on NURBS tensor product surfaces (English) |
| Author:
|
Martišek, Dalibor |
| Author:
|
Procházková, Jana |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
55 |
| Issue:
|
5 |
| Year:
|
2010 |
| Pages:
|
419-430 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
NURBS (Non-Uniform Rational B-Splines) belong to special approximation curves and surfaces which are described by control points with weights and B-spline basis functions. They are often used in modern areas of computer graphics as free-form modelling, modelling of processes. In literature, NURBS surfaces are often called tensor product surfaces. In this article we try to explain the relationship between the classic algebraic point of view and the practical geometrical application on NURBS. (English) |
| Keyword:
|
tensor product surface |
| Keyword:
|
bilinear form |
| Keyword:
|
B-spline |
| Keyword:
|
NURBS |
| MSC:
|
41A15 |
| MSC:
|
53A05 |
| MSC:
|
65D17 |
| idZBL:
|
Zbl 1224.53007 |
| idMR:
|
MR2737721 |
| DOI:
|
10.1007/s10492-010-0016-6 |
| . |
| Date available:
|
2010-11-24T08:15:50Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140713 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
