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A geometric interpretation of the diagonal of a tensor-product Bézier volume

D.J. Holliday, G.E. Farin
1999 Computer Aided Geometric Design  
A geometric interpretation of the diagonal of a tensor-product trivariate Bézier volume using degree elevation of Bézier triangles is given.  ...  ., 1992) for designing multi-sided patches.  ...  Our goal is to provide an intuitive geometric interpretation to the Bézier points of the diagonal curve d(u) given by x(u, u, u).  ... 
doi:10.1016/s0167-8396(99)00004-7 fatcat:kyg6ciecnfakzamqjangrjnb74

Detail preserving deformation of B-spline surfaces with volume constraint

Basile Sauvage, Stefanie Hahmann, Georges-Pierre Bonneau, Gershon Elber
2008 Computer Aided Geometric Design  
Geometric constraints have proved to be helpful for shape modeling. Moreover, they are efficient aids in controlling deformations and enhancing animation realism.  ...  The key contribution of this paper is the computation of the volume with respect to the appropriate basis for LoD editing: the volume is expressed through all levels of resolution as a trilinear form and  ...  The volume constraint is important for many applications -for example, when one designs an airplane's fuselage that is assumed to hold a fixed volume.  ... 
doi:10.1016/j.cagd.2007.10.004 fatcat:f5e6vijisne65lmxhek4poud5a

Multi-volume CAD modeling for heterogeneous object design and fabrication

Wei Sun
2000 Journal of Computer Science and Technology  
A review of current computer-aided technologies in design and product development, the evolution of CAD modeling, and a framework of multi-volume CAD modeling system for heterogeneous object design and  ...  Material identifications are defined as design attributes introduced with geometric and topological information at the design stage.  ...  Introduction With the advancement of design and manufacturing technology, utilization of integrated Computer-Aided Design/Computer-Aided Engineering/Computer-Aided Manufacturing, i.e., CAD/CAE/CAM and  ... 
doi:10.1007/bf02951924 fatcat:a3uvxmtiprhihfkxhwbbwwaldu

D-Plan: Efficient Collision-Free Path Computation for Part Removal and Disassembly

Liangjun Zhang, Xin Huang, Young J. Kim, Dinesh Manocha
2008 Computer-Aided Design and Applications  
Design algorithms for a geometric proximity query -generalized penetration depth computation; • Develop efficient algorithms to improve the performance of sample-based motion planning for narrow passage  ...  Kim, Dinesh Manocha, Efficient Distance Computation in Config- uration Space, Computer Aided Geometric Design (CAGD special issue on SPM 07), 2008, in press [3] Liangjun Zhang, Xin Huang, Young J.  ...  Kim, Gokul Varadhan, Dinesh Manocha, Generalized Penetration Depth Computation, Computer-Aided Design (CAD special issue on SPM 06), Xianfeng Gu, Song Zhang, Liangjun Zhang, Peisen S.  ... 
doi:10.3722/cadaps.2008.774-786 fatcat:72nw4vrsbra6jpy6rwuwl7zvsu

A knowledge-based auto-reasoning methodology in hole-machining process planning

Hao Yongtao, Ma Jingying
2006 Computers in industry (Print)  
In process planning, how to obtain an optimal process planning is the essential of computer-aided process planning (CAPP) system.  ...  In each operation direction, v i , there are N l basic geometrical units to be operated, namely, U l 1 ; U l 2 ; . . . ; U l N .  ...  In this regard, manufacturing features link the computer-aided design (CAD) and computer-aided manufacturing (CAM) [3] .  ... 
doi:10.1016/j.compind.2005.09.006 fatcat:32rw6rsq4rb43glj3uzdpyvfpu

Page 2066 of Mathematical Reviews Vol. , Issue 88d [page]

1988 Mathematical Reviews  
Special issue on topics in computer aided geometric design (Wolfenbittel, 1986). Comput. Aided Geom. Design 4 (1987), no. 1-2, 125-131.  ...  Special issue on topics in computer aided geometric design (Wolfenbittel, 1986). Comput. Aided Geom. Design 4 (1987), no. 1-2, 141-154.  ... 

Page 6916 of Mathematical Reviews Vol. , Issue 95k [page]

1995 Mathematical Reviews  
Summary: “The problem of the convexity of the Bernstein-Bézier surface is one of the major concerns in computer aided geometric design.  ...  (English summary ) Comput. Aided Geom. Design 12 (1995), no. 3, 251-258.  ... 

Smoothing Method for Free-Form Surface Produced by Boundary Integral Equations
境界積分方程式により作成された自由曲面の平滑化

Yoshihiro OCHIAI
2006 Transactions of the Japan Society of Mechanical Engineers Series C  
for Free-Form Surface Design, Computer Aided Geometric Design, Vol. 18, No. 4  ...  Surface Using Integral Equations, Computer Aided Geometric Design, Vol. 17 (2000), pp.  ... 
doi:10.1299/kikaic.72.3052 fatcat:6vxa54yrsnbsfgr33qcscmqdiu

Computer-aided design and modeling of composite unit cells

W. Sun, F. Lin, X. Hu
2001 Composites Science And Technology  
A novel modeling approach for designing and constructing CAD-based composite unit cells is presented.  ...  The proposed modeling technique is able to capture the designed composite geometry, reinforced ®ber architecture, and constituent material heterogeneity.  ...  Introduction Advancements in design and manufacturing using integrated computer-aided design/computer-aided engineering/computer-aided manufacturing (CAD/CAE/CAM) have brought dramatic changes in today's  ... 
doi:10.1016/s0266-3538(00)00218-9 fatcat:vkr3xqy6jnbcbjem5lhispmi3m

Integrated Computer-Aided Innovation: The PROSIT approach

Umberto Cugini, Gaetano Cascini, Maurizio Muzzupappa, Vincenzo Nigrelli
2009 Computers in industry (Print)  
Computer-Aided Innovation vs.  ...  Fig. 8 . 8 Scheme of methodology and implemented tools. Fig. 9 . 9 Realization of a CAD model through the union of volumes belonging to a library.  ... 
doi:10.1016/j.compind.2009.05.014 fatcat:mexprxbkujdjthk76lztlitpzi

Open Source Software for the Automatic Design of Scaffold Structures for Tissue Engineering Applications

J.C. Dinis, T.F. Morais, P.H.J. Amorim, R.B. Ruben, H.A. Almeida, P.N. Inforçati, P.J. Bártolo, J.V.L. Silva
2014 Procedia Technology - Elsevier  
One way to achieve such designs is to create a library of unit cells (the scaffold is assumed to be a repeating, tessellating unit structure), which can be assembled through specific computational tools  ...  In this research work, an open source software tool for the design of scaffolds is presented.  ...  et al [6] [7] [8] and the Computer Aided System for Tissue Scaffolds (CASTS) developed by Naing et al [9, 10] , and Computer Aided Design of Scaffolds developed by Almeida and Bártolo [11, 12] .  ... 
doi:10.1016/j.protcy.2014.10.176 fatcat:2esfbazm3jdxzl6bfj4bnas6yi

Computer Aided Design Modeling for Heterogeneous Objects [article]

Vikas Gupta, K.S.Kasana, Puneet Tandon
2010 arXiv   pre-print
Current research focuses on computer-aided design issues in heterogeneous object design.  ...  Heterogeneous object design is an active research area in recent years.  ...  Introduction The recent research focuses on computer-aided design issues involved in rapid prototyping of heterogeneous object.  ... 
arXiv:1004.3571v1 fatcat:3j6awabc2ve37f7vehiplsqpj4

COMPUTER AIDED GEOMETRIC DESIGN IN MODELLING OF 3D TEXTILE COMPOSITES

Varun SHARMA, Fatima ZIVIC, Nenad GRUJOVIC, Zivana JOVANOVIC
2019 Proceedings on Engineering Sciences  
Three-dimensional (3D) geometry models were created (angle interlock and layer to layer), with 48 % and 53 % overall volume fractions.  ...  Internal yarn architecture and overall volume fractions both have significant influence on the mechanical behaviour of the composite.  ...  Some of the techniques like Computer Aided Geometric Design (CAGD) that deals with mathematical description of shapes have been used in research of such structures.  ... 
doi:10.24874/pes01.01.018 fatcat:7oeu5rgpg5cfdjeziha6u6xa3e

Research on auto-reasoning process planning using a knowledge based semantic net

Yongtao Hao
2006 Knowledge-Based Systems  
A part is decomposed into several basic geometrical units, namely, U 1 , U 2 , . . . , U N .  ...  The process-planning model (PP model) construct a feature framework that makes a mapping from geometric features into machining operations.  ...  Therefore, most of computer-aided process planning (CAPP) systems uses the concept of manufacturing features to describe a part [6, [8] [9] [10] .  ... 
doi:10.1016/j.knosys.2006.06.001 fatcat:w3crxzhmg5dqlfnkthjxh73vru

Development of Finite Element Modeling System for Ship Structures

Yasumi Kawamura, Katsuyuki Suzuki, Hideomi Ohtsubo, Hiroshi Tamura
1994 Journal of the Society of Naval Architects of Japan  
In ship structural design, many kind of finite element analyses are carried out for different geometric models.  ...  For example, whole ship analyses with shell elements are carried out in early design stages, and analyses of welding part with solid elements are done for detailed design stages.  ...  Xingjian, A Database Design Method for Finite Element Analysis, Computers & Structures Vol.44, No.4, pp.911-914, 1992 13) Objectivity/DB Documentation Volume I, II, Objectivity Inc., 1991 8) B. E.  ... 
doi:10.2534/jjasnaoe1968.1994.176_351 fatcat:6dsb5ehx5rh2noxmqpxpii32ia
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