Advances in Geometric Modeling (Hardcover)

Advances in Geometric Modeling illustrates the significance of Geometric Modeling in construction, design and manufacture, in not only the traditional industries such as automobile and aircraft manufacturing, but also in modern industry. This includes CAD/CAM, Computer Art, Entertainment, Education and Training, Visualization, robotics, medical imaging, visualisation, painting and media, and others.

This volume will

• Provide a valuable source focusing on interdisciplinary methods and affiliate research in the area of geometric modeling.
• Provide the user community with a variety of advanced geometric modeling techniques and their applications.
• Collate and disseminate information from various disciplines such as; Curve and Surface Fitting, Geometric Algorithms, Visualization, Computational Geometry, Solid Modeling, Computer Graphics, Computer Aided Geometric Design, Splines, Deformation of Objects, Virtual Reality, Mesh Simplification, Multi-resolution, Texture Mapping, Reverse Engineering, etc.
• Provide a source for researchers and practitioners who are looking for the latest developments in the field of geometric modeling.

This in-depth and well-illustrated book is an excellent reference for researchers, computer scientists, practicing engineers and those who seek state-of-the-art techniques and applications in geometric modeling.

Table of Contents：

1 Polygonal Subdivision Curves for Computer Graphics and Geometric Modeling (Ahmad H. Nasri).

2 Planar Development of Digital Free-Form Surfaces (Phillip N. Azariadis and Nickolas S. Sapidis).

3 A Shape Preserving Representation for Rational Curves with Efficient Evaluation Algorithm (Jorge Delgado and Juan M. Peña).

4 Piecewise Power Basis Conversion of Dynamic B-spline Curves and Surfaces (Deok-Soo Kim and Joonghyun Ryu).

5 Computational Methods for Geometric Processing of Surfaces: Blending, Offsetting,

Intersection, Implicitization (Andres Iglesias).

6 Another Non-Uniform Rational B-Spline Scheme for Designing Curves and Surfaces

(Muhammad Sarfraz).

7 Generation of Parting Surfaces Using Subdivision Technique (C. L. Li).

8 Triadic Subdivision of Non Uniform Powell-Sabin splines (Evelyne Vanraes, Paul Dierckx, and AdhemarBultheel).

9 Surface Interpolation Scheme By Distance Blending Over Convex Sets (Lizhuang Ma, Qiang Wang, and TonyChan K Y).

10 Family of G2 Spiral Transition Between Two Circles (Zulfiqar Habib and Manabu Sakai).

11 Optimal Hierarchical Adaptive Mesh Construction Using FCO Sampling (Panagiotis A. Dafas, Ioannis Kompatsiarisand Michael G. Strintzis).

12 Virtual Sculpting and Deformable Volume Modeling (K. C. Hui).

13 Free Form Modeling Method Based on Silhouette and Boundary Lines (Jun Kamiya and Hideki Aoyama).

14 Intuitive and Precise Solid Modeling in A Virtual Reality Environment (Yongmin Zhong, Wolfgang Müller-Wittig and Weiyin Ma).

15 Efficient Simplification of Triangular Meshes (Muhammad Hussain, Yoshihiro Okada, andKoichi Niijima.

16 Multiresolution and Diffusion Methods Applied to Surface Reconstruction Based on T-Surfaces Framework (Gilson A. Giraldi, Rodrigo L. S. Silva, WalterH. Jiménez, Edilberto Strauss, and Antonio A. F. Oliveira).

17 A Multiresolution Framework for NUBS 277 (Muhammad Sarfraz and Mohammed Ali Siddiqui).

18 Irregular Topology Spline Surfaces and Texture Mapping (Jin J. Zheng and Jian J. Zhang).

19 Segmentation of Scanned Surfaces: Improved Extraction of Planes (R. Sacchi, J.F. Poliakoff, P.D. Thomas, and K.-H. Häfele).

20 Constraint-Based Visualization of Spatiotemporal Databases (Peter Revesz and Lixin Li).

21 Surface Oriented Triangulation of Unorganized 3D Points Based On Laszlo’s   Algorithm (Peter Revesz and Lixin Li).

《幾何建模的進展》展示了幾何建模在建築、設計和製造等領域的重要性，不僅適用於傳統行業如汽車和飛機製造，也適用於現代工業，包括CAD/CAM、電腦藝術、娛樂、教育和培訓、可視化、機器人技術、醫學影像、繪畫和媒體等領域。

本書將提供以下內容：
- 提供跨學科方法和相關研究的寶貴資源，關注幾何建模領域。
- 提供用戶社區各種先進的幾何建模技術及其應用。
- 收集和傳播來自各個學科的信息，如曲線和曲面擬合、幾何算法、可視化、計算幾何、實體建模、計算機圖形學、計算機輔助幾何設計、樣條曲線、物體變形、虛擬現實、網格簡化、多分辨率、紋理映射、逆向工程等。
- 為研究人員和從業人員提供尋找幾何建模領域最新發展的資源。

這本深入且圖文並茂的書籍是研究人員、計算機科學家、實踐工程師以及尋求幾何建模領域最新技術和應用的人的優秀參考資料。

《目錄》：
1. 電腦圖形學和幾何建模的多邊形細分曲線（Ahmad H. Nasri）
2. 數字自由曲面的平面展開（Phillip N. Azariadis和Nickolas S. Sapidis）
3. 具有高效評估算法的保形有理曲線表示（Jorge Delgado和Juan M. Peña）
4. 動態B樣條曲線和曲面的分段功率基轉換（Deok-Soo Kim和Joonghyun Ryu）
5. 幾何表面的計算方法：混合、偏移、交點、隱式化（Andres Iglesias）
6. 設計曲線和曲面的另一種非均勻有理B樣條方案（Muhammad Sarfraz）
7. 使用細分技術生成分離曲面（C. L. Li）
8. 非均勻Powell-Sabin樣條曲線的三角細分（Evelyne Vanraes、Paul Dierckx和AdhemarBultheel）
9. 基於凸集的距離混合曲面插值方案（Lizhuang Ma、Qiang Wang和TonyChan K Y）
10. 兩個圓之間的G2螺旋過渡的家族（Zulfiqar Habib和Manabu Sakai）
11. 使用FCO抽樣的最優分層自適應網格構建（Panagiotis A. Dafas、Ioannis Kompatsiaris和Michael G. Strintzis）
12. 虛擬雕塑和可變形體建模（K. C. Hui）
13. 基於輪廓和邊界線的自由形建模方法（Jun Kamiya和Hideki Aoyama）
14. 虛擬現實環境中直觀而精確的實體建模（Yongmin Zhong、Wolfgang Müller-Wittig和Weiyin Ma）
15. 三角網格的高效簡化（Muhammad Hussain、Yoshihiro Okada和Koichi Niijima）
16. 多分辨率和擴散方法應用於基於T曲面框架的曲面重建（Gilson A. Giraldi、Rodrigo L. S. Silva、WalterH. Jiménez、Edilberto Strauss和Antonio A. F. Oliveira）
17. NUBS 277的多分辨率框架（Muhammad Sarfraz和Mohammed Ali Siddiqui）
18. 不規則拓撲樣條曲面和紋理映射（Jin J. Zheng和Jian J. Zhang）
19. 掃描曲面的分割：平面提取的改進（R. Sacchi、J.F. Poliakoff、P.D. Thomas和K.-H. Häfele）
20. 基於約束的時空可視化（待續）