| 000 | 05558nam a2200769 i 4500 | ||
|---|---|---|---|
| 001 | 7588213 | ||
| 003 | IEEE | ||
| 005 | 20200413152921.0 | ||
| 006 | m eo d | ||
| 007 | cr cn |||m|||a | ||
| 008 | 161021s2017 caua foab 001 0 eng d | ||
| 020 |
_a9781627054676 _qebook |
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| 020 |
_z9781627059053 _qpaperback |
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| 024 | 7 | _a10.2200/S00729ED1V01Y201608VCP025 | |
| 035 | _a(CaBNVSL)gtp00566482 | ||
| 035 | _a(OCoLC)960760474 | ||
| 040 |
_aCaBNVSL _beng _erda _cCaBNVSL _dCaBNVSL |
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| 050 | 4 |
_aQA643 _b.K535 2017 |
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| 082 | 0 | 4 |
_a516.352 _223 |
| 100 | 1 |
_aKiciak, Przemysław, _eauthor. |
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| 245 | 1 | 0 |
_aGeometric continuity of curves and surfaces / _cPrzemysław Kiciak. |
| 264 | 1 |
_a[San Rafael, California] : _bMorgan & Claypool, _c2017. |
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| 300 |
_a1 PDF (xv, 233 pages) : _billustrations. |
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| 336 |
_atext _2rdacontent |
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| 336 |
_astill image _2rdacontent |
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| 337 |
_aelectronic _2isbdmedia |
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| 338 |
_aonline resource _2rdacarrier |
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| 490 | 1 |
_aSynthesis lectures on visual computing, _x2469-4223 ; _v# 25 |
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| 538 | _aMode of access: World Wide Web. | ||
| 538 | _aSystem requirements: Adobe Acrobat Reader. | ||
| 500 | _aPart of: Synthesis digital library of engineering and computer science. | ||
| 504 | _aIncludes bibliographical references (pages 221-225) and index. | ||
| 505 | 0 | _aPreface -- Notation -- 1. Introduction -- 2. Geometric continuity of curves: 2.1. Equations of geometric continuity; 2.2. Interpretation; 2.3. Geometric spline curves; 2.4. Tensor product geometric spline patches -- 3. Pairs of surface patches: 3.1. Geometric continuity at a common boundary; 3.2. Interpretation; 3.3. A little bit of algebra; 3.4. Polynomial solutions of equations of geometric continuity; 3.5. Constructing pairs of patches; 3.6. Approximating smooth junctions -- 4. Compatibility conditions: 4.1. Hahn's scheme of filling polygonal holes; 4.2. Compatibility conditions at a common corner; 4.3. Compatibility conditions around a point; 4.4. Beyond the curvature continuity and towards practice -- 5. Filling polygonal holes: 5.1. Theoretical background; 5.2. Constructing function spaces; 5.3. Minimisation of quadratic forms; 5.4. Constructions with shape optimisation; 5.5. Conclusion -- 6. Images of surface shape: 6.1. Characteristic lines and shape functions; 6.2. Planar sections; 6.3. Isophotes; 6.4. Reflection lines; 6.5. Highlight lines; 6.6. Surface curvatures -- A. Background -- A.1. Lagrange and Hermite interpolation -- A.2. Bézier curves -- A.3. Bézier patches -- A.4. B-spline curves -- A.5. Tensor product B-spline patches -- A.6. Meshes and generalised B-spline surfaces -- A.7. Rational curves and patches -- A.8. Spline curves of interpolation -- A.9. Coons patches -- A.10. Curvatures of curves and surfaces -- A.11. Fàa di Bruno's formula -- Bibliography -- Author's biography -- Index. | |
| 506 | 1 | _aAbstract freely available; full-text restricted to subscribers or individual document purchasers. | |
| 510 | 0 | _aCompendex | |
| 510 | 0 | _aINSPEC | |
| 510 | 0 | _aGoogle scholar | |
| 510 | 0 | _aGoogle book search | |
| 520 | 3 | _aThis book is written for students, CAD system users and software developers who are interested in geometric continuity--a notion needed in everyday practice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. Textbooks on computer graphics usually cover the most basic and necessary information about spline curves and surfaces in order to explain simple algorithms. In textbooks on geometric design, one can find more details, more algorithms and more theory. This book teaches how various parts of the theory can be gathered together and turned into constructions of smooth curves and smooth surfaces of arbitrary topology. The mathematical background needed to understand this book is similar to what is necessary to read other textbooks on geometric design; most of it is basic linear algebra and analysis. More advanced mathematical material is introduced using elementary explanations. Reading Geometric Continuity of Curves and Surfaces provides an excellent opportunity to recall and exercise necessary mathematical notions and it may be your next step towards better practice and higher understanding of design principles. | |
| 530 | _aAlso available in print. | ||
| 588 | _aTitle from PDF title page (viewed on October 21, 2016). | ||
| 650 | 0 | _aContinuity. | |
| 650 | 0 | _aCurves. | |
| 650 | 0 | _aSurfaces. | |
| 650 | 0 | _aSpline theory. | |
| 653 | _aparametric curves and surfaces | ||
| 653 | _aBézier curves and patches | ||
| 653 | _aB-spline curves and patches | ||
| 653 | _aCoons patches | ||
| 653 | _acubic splines of interpolation | ||
| 653 | _atrigonometric spline functions | ||
| 653 | _ageometric splines | ||
| 653 | _ageometric continuity | ||
| 653 | _amodules | ||
| 653 | _amesh refinement | ||
| 653 | _acompatibility conditions | ||
| 653 | _afilling polygonal holes | ||
| 653 | _ashape badness measures | ||
| 653 | _ashape optimisation | ||
| 653 | _ashape functions | ||
| 653 | _ashape visualisation | ||
| 653 | _aFàa di Bruno's formula | ||
| 776 | 0 | 8 |
_iPrint version: _z9781627059053 |
| 830 | 0 | _aSynthesis digital library of engineering and computer science. | |
| 830 | 0 |
_aSynthesis lectures on visual computing ; _v# 25. _x2469-4223 |
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| 856 | 4 | 2 |
_3Abstract with links to resource _uhttp://ieeexplore.ieee.org/servlet/opac?bknumber=7588213 |
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_c562200 _d562200 |
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