標(biāo)題: Titlebook: Bézier and B-Spline Techniques; Hartmut Prautzsch,Wolfgang Boehm,Marco Paluszny Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 B-spl [打印本頁] 作者: credit 時(shí)間: 2025-3-21 17:54
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書目名稱Bézier and B-Spline Techniques影響因子(影響力)學(xué)科排名
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書目名稱Bézier and B-Spline Techniques網(wǎng)絡(luò)公開度學(xué)科排名
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書目名稱Bézier and B-Spline Techniques讀者反饋學(xué)科排名
作者: 違抗 時(shí)間: 2025-3-21 21:13 作者: 圓錐體 時(shí)間: 2025-3-22 02:31 作者: 核心 時(shí)間: 2025-3-22 07:15
Smooth curvesenerally, a curve is said to be .. if it has an r times continuously differentiate parametrization. An even more general smoothness concept is based on the continuity of higher order geometric invariants. Piecewise polynomial curves with this general smoothness can be nicely studied using a geometri作者: 懶惰人民 時(shí)間: 2025-3-22 11:42 作者: 神化怪物 時(shí)間: 2025-3-22 16:13
Tensor product surfacescontrol curves control the surface. The surface representation by these control points has properties analogous to those of a univariate curve (e.g., Bézier or B-spline) representation. This is due to the fact that one can deal with these surfaces by applying just curve algorithms. Similarly, one ca作者: 合法 時(shí)間: 2025-3-22 18:56
Bézier representation of triangular patchesrty, basically all properties of the Bézier representation of curves have a surface equivalent. The Bézier representation over triangles can be generalized further to Bézier representations over multi-dimensional simplices, see Chapter 19.作者: 落葉劑 時(shí)間: 2025-3-23 01:16 作者: nocturnal 時(shí)間: 2025-3-23 05:13 作者: inundate 時(shí)間: 2025-3-23 07:08
Stationary subdivision for arbitrary netsk presented a similar generalization for bicubic splines. Their algorithms can be applied to arbitrary quadrilateral control nets and yield sequences of control nets that converge to piecewise biquadratic or bicubic surfaces with finitely many so-called extraordinary points.作者: 衰弱的心 時(shí)間: 2025-3-23 09:48
Textbook 2002line representations evolved as the major tool to handle curves and surfaces. These representations are geometrically intuitive and meaningful and they lead to constructive numerically robust algorithms. It is the purpose of this book to provide a solid and unified derivation of the various properti作者: 擴(kuò)張 時(shí)間: 2025-3-23 16:41 作者: 鍵琴 時(shí)間: 2025-3-23 20:35 作者: Exclaim 時(shí)間: 2025-3-23 23:14
Jason R. Finley,Farah Naaz,Francine W. Gohn build multidimensional volumes by sweeping a surface or volume through space such that its control points move along curves. Again, one obtains control nets having properties analogous to those of the underlying curve representations.作者: Oafishness 時(shí)間: 2025-3-24 02:28
Hartmut Prautzsch,Wolfgang Boehm,Marco PalusznyModern, graduate-level book on computer aided geometric design.Includes supplementary material: 作者: 膠狀 時(shí)間: 2025-3-24 09:47 作者: anthropologist 時(shí)間: 2025-3-24 12:02 作者: 輕快來事 時(shí)間: 2025-3-24 15:16
Bézier techniquesen univariate and symmetric multivariate polynomials is explained and the basic CAGD algorithms based on this relationship are presented. The most important algorithm is de Casteljaués. It has several applications and serves as an important theoretical tool.作者: 袋鼠 時(shí)間: 2025-3-24 22:05 作者: 組裝 時(shí)間: 2025-3-25 01:25 作者: colloquial 時(shí)間: 2025-3-25 04:09 作者: 懶惰民族 時(shí)間: 2025-3-25 08:22 作者: Angioplasty 時(shí)間: 2025-3-25 12:33
Bézier techniques for triangular patches simple task to derive algorithms which evaluate, degree elevate, reparametrize, or subdivide a triangular surface in Bézier representation. The generalization of the techniques described for univariate polynomials in Chapter 3 is straightforward.作者: 煉油廠 時(shí)間: 2025-3-25 16:22 作者: 向宇宙 時(shí)間: 2025-3-25 23:20
Stationary subdivision for arbitrary netsk presented a similar generalization for bicubic splines. Their algorithms can be applied to arbitrary quadrilateral control nets and yield sequences of control nets that converge to piecewise biquadratic or bicubic surfaces with finitely many so-called extraordinary points.作者: 夸張 時(shí)間: 2025-3-26 02:40 作者: ANN 時(shí)間: 2025-3-26 06:11
https://doi.org/10.1057/978-1-349-95269-4en univariate and symmetric multivariate polynomials is explained and the basic CAGD algorithms based on this relationship are presented. The most important algorithm is de Casteljaués. It has several applications and serves as an important theoretical tool.作者: 含沙射影 時(shí)間: 2025-3-26 09:12
Stephen Hutchings,Kenzie Burchellcal or only complicated descriptions are known. To construct such a representation, one usually measures or evaluates a given curve at a number of points and determines an interpolant or approximant. This chapter reviews some basic techniques.作者: Asparagus 時(shí)間: 2025-3-26 15:04 作者: MORPH 時(shí)間: 2025-3-26 18:55
Jason R. Finley,Farah Naaz,Francine W. Gohuence, there are simple efficient knot insertion algorithms to convert a B-spline representation to a B-spline representation over a finer and also evenly spaced knot sequence. Moreover, these algorithms are the prototypes for the class of the so-called ..作者: Salivary-Gland 時(shí)間: 2025-3-26 23:29 作者: Myocarditis 時(shí)間: 2025-3-27 02:11
Jason R. Finley,Farah Naaz,Francine W. Gohrty, basically all properties of the Bézier representation of curves have a surface equivalent. The Bézier representation over triangles can be generalized further to Bézier representations over multi-dimensional simplices, see Chapter 19.作者: 憤憤不平 時(shí)間: 2025-3-27 06:13
Human Rights and European Remembrance simple task to derive algorithms which evaluate, degree elevate, reparametrize, or subdivide a triangular surface in Bézier representation. The generalization of the techniques described for univariate polynomials in Chapter 3 is straightforward.作者: anchor 時(shí)間: 2025-3-27 09:56 作者: Constrain 時(shí)間: 2025-3-27 16:45
Uilleam Blacker,Alexander Etkind,Julie Fedork presented a similar generalization for bicubic splines. Their algorithms can be applied to arbitrary quadrilateral control nets and yield sequences of control nets that converge to piecewise biquadratic or bicubic surfaces with finitely many so-called extraordinary points.作者: 重畫只能放棄 時(shí)間: 2025-3-27 20:00
https://doi.org/10.1007/978-3-662-04919-8B-splines; Bezier curves; CAGD; Gk-surface constructions; Interpolation; computer aided geometric design; 作者: 拖債 時(shí)間: 2025-3-27 22:15
978-3-642-07842-2Springer-Verlag Berlin Heidelberg 2002作者: Parameter 時(shí)間: 2025-3-28 05:22 作者: 大廳 時(shí)間: 2025-3-28 09:58 作者: 逃避責(zé)任 時(shí)間: 2025-3-28 12:36 作者: Moderate 時(shí)間: 2025-3-28 15:40 作者: Robust 時(shí)間: 2025-3-28 21:12
Jason R. Finley,Farah Naaz,Francine W. Gohenerally, a curve is said to be .. if it has an r times continuously differentiate parametrization. An even more general smoothness concept is based on the continuity of higher order geometric invariants. Piecewise polynomial curves with this general smoothness can be nicely studied using a geometric interpretation of symmetric polynomials.作者: 運(yùn)氣 時(shí)間: 2025-3-29 02:44
Jason R. Finley,Farah Naaz,Francine W. Gohuence, there are simple efficient knot insertion algorithms to convert a B-spline representation to a B-spline representation over a finer and also evenly spaced knot sequence. Moreover, these algorithms are the prototypes for the class of the so-called ..作者: 首創(chuàng)精神 時(shí)間: 2025-3-29 04:09 作者: Euthyroid 時(shí)間: 2025-3-29 08:47 作者: Constituent 時(shí)間: 2025-3-29 14:11 作者: CHOKE 時(shí)間: 2025-3-29 18:54 作者: eulogize 時(shí)間: 2025-3-29 19:59 作者: synovial-joint 時(shí)間: 2025-3-30 01:02
Gabriele Fischer,Katharina RuhlandSplines are piecewise polynomial curves that are differentiable up to a prescribed order. The simplest example is a piecewise linear .. spline, i.e., a polygonal curve. Other examples are the piecewise cubic .. splines, as constructed in 4.5.作者: 百靈鳥 時(shí)間: 2025-3-30 05:30
https://doi.org/10.1007/978-3-031-52819-4Most algorithms for curves in Bézier representation have a generalized form for splines. One of the most important spline algorithms is knot insertion. It can be used for degree elevation, the de Boor algorithm and subdivision. In particular, de Casteljau’s algorithm can be understood as a special multiple knot insertion.作者: 辭職 時(shí)間: 2025-3-30 10:25
https://doi.org/10.1057/9781137322067The simple .. joint discussed in 11.7 is too restrictive for modelling smooth regular surfaces of arbitrary shape. Here, we present general ..-conditions and a interpolation scheme that allows to design regular surfaces of arbitrary topology with triangular patches.作者: prolate 時(shí)間: 2025-3-30 13:19 作者: 有抱負(fù)者 時(shí)間: 2025-3-30 19:27
Human Rights and European RemembranceUnder a stationary subdivision scheme, a regular control net is transformed into a regular control net whose vertices are affine combinations of the initial control points. The weights of these affine combinations can be given by masks or algebraically by a characteristic polynomial, as in the case of curve algorithms.作者: 桉樹 時(shí)間: 2025-3-30 20:45
Geometric fundamentalsThe world can be seen as a space of points while vectors describe the directions and lengths of line segments between pairs of points. The interpretation of the world as a point space, and not as a vector space, has the advantage that any point can may serve as the origin. This fact is also reflected by the symmetry of barycentric coordinates.作者: 熱烈的歡迎 時(shí)間: 2025-3-31 01:48 作者: GRAVE 時(shí)間: 2025-3-31 05:08
