| 000 | 02877nam a22004935i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-79516-9 | ||
| 003 | DE-He213 | ||
| 005 | 20240730164052.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 220601s2006 sz | s |||| 0|eng d | ||
| 020 |
_a9783031795169 _9978-3-031-79516-9 |
||
| 024 | 7 |
_a10.1007/978-3-031-79516-9 _2doi |
|
| 050 | 4 | _aQA1-939 | |
| 072 | 7 |
_aPB _2bicssc |
|
| 072 | 7 |
_aMAT000000 _2bisacsh |
|
| 072 | 7 |
_aPB _2thema |
|
| 082 | 0 | 4 |
_a510 _223 |
| 100 | 1 |
_aMann, Stephen. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981923 |
|
| 245 | 1 | 0 |
_aBlossoming Development of Splines _h[electronic resource] / _cby Stephen Mann. |
| 250 | _a1st ed. 2006. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2006. |
|
| 300 |
_aIX, 97 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSynthesis Lectures on Computer Graphics and Animation, _x1933-9003 |
|
| 505 | 0 | _aIntroduction and Background -- Polynomial Curves -- B-Splines -- Surfaces. | |
| 520 | _aIn this lecture, we study Bézier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bézier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bézier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces. | ||
| 650 | 0 |
_aMathematics. _911584 |
|
| 650 | 0 |
_aImage processing _xDigital techniques. _94145 |
|
| 650 | 0 |
_aComputer vision. _981924 |
|
| 650 | 1 | 4 |
_aMathematics. _911584 |
| 650 | 2 | 4 |
_aComputer Imaging, Vision, Pattern Recognition and Graphics. _931569 |
| 710 | 2 |
_aSpringerLink (Online service) _981925 |
|
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031795152 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031795176 |
| 830 | 0 |
_aSynthesis Lectures on Computer Graphics and Animation, _x1933-9003 _981926 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-79516-9 |
| 912 | _aZDB-2-SXSC | ||
| 942 | _cEBK | ||
| 999 |
_c85269 _d85269 |
||