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Page 6416 of Mathematical Reviews Vol. , Issue 2004h [page]

2004 Mathematical Reviews  
monotone curvature constraints.  ...  Yu Yu Feng (PRC-HEF:; Hefei 2004h:65022 65D17 90C30 Wang, Yulin (PRC-BUAA-MEA: Beijing): Wang, Shuchun (PRC-BUAA-MEA; Beijing); Zhang, Luzou; Zhao, Bingyan Shape control of Bézier surfaces with iso-parametric  ... 

Generalized sweep templates for implicit modeling

Ryan Schmidt, Brian Wyvill
2005 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia - GRAPHITE '05  
A technique is presented for generating implicit sweep objects that support direct specification and manipulation of the surface with no topological limitations on the 2D sweep template.  ...  Flat endcaps are introduced into the 3D sweep formulation, which is implemented in the context of an interactive hierarchical implicit volume modeling tool.  ...  This work was supported by the National Science and Engineering Research Council of Canada and iCore.  ... 
doi:10.1145/1101389.1101428 dblp:conf/graphite/SchmidtW05 fatcat:6tybv4d3wrewfkbrulzcwargpy

An Introduction to Guided and Polar Surfacing [chapter]

Jörg Peters, Kȩstutis Karčiauskas
2010 Lecture Notes in Computer Science  
A second ingredient is separation of shape design from surface representation by creating an initial guide shape and leveraging classical approximation-theoretic tools to construct a final surface compatible  ...  with industry standards, either as a finite number of polynomial patches or as a subdivision process.  ...  The images were generated with the surface analysis tool BezierView. This work was supported by the National Science Foundation Grant 0728797.  ... 
doi:10.1007/978-3-642-11620-9_20 fatcat:d7ou4xj4sbhoraouioiw2sagdi

CNC double spiral tool-path generation based on parametric surface mapping

Bo Zhou, Jibin Zhao, Lun Li
2015 Computer-Aided Design  
Zhao). surface machining with much higher rotational speed and feedrate of the spindle than traditional milling methods.  ...  The results indicate that this method is superior to other existing machining methods, and it can realize HSM of complicate-shaped pocket based on parametric surface. (J.  ...  Acknowledgments The authors are grateful for the support provided by National Key Basic Research Project of China (grant # 2011CB302400) and National Natural Science Foundation of China (grants # 50975274  ... 
doi:10.1016/j.cad.2015.06.005 fatcat:5fpi3cnxevdbzjie4mr54xfb7u

Industry Application of Geometric Modeling Technology [chapter]

Akihiko Ohtaka
2001 Geometric Modelling  
Not only local satisfaction of second order derivative continuity, but also global smoothness such as smooth highlight lines distribution and curvature monotonous are required.  ...  Then, he can automatically reconstruct his OBJ consistent with the newly received OBJ by the use of parametric capability described later. (2) Update right control of OBJ OBJs on SWS can be assigned update  ... 
doi:10.1007/978-0-387-35490-3_2 fatcat:3pbnt7o62zbsxfx4gegczokthm

Revisiting Traditional Curve Lofting to Improve the Hull Surface Design Process

Marcus Bole
2012 Ship Technology Research  
It may be used to explore hull form shape in shorter time scales and supports a greater range of shape generation algorithms.  ...  Moreover, when the definition geometry is unfair or incompatible, curves indicate the affected region in a more obvious manner than possible with a surface.  ...  Acknowledgements I would like to acknowledge the assistance of my colleague Ian Applegarth for extending my knowledge of mathematical techniques that such as those used in AVEVA Lines.  ... 
doi:10.1179/str.2012.59.2.002 fatcat:5nz7uvumrrghzkvpa6ymgfyn4i

A Three-Dimensional Boundary-Integral Algorithm for Thermocapillary Motion of Deformable Drops

Michael A. Rother, Alexander Z. Zinchenko, Robert H. Davis
2002 Journal of Colloid and Interface Science  
Acknowledgements In the long way of passing the four years of my PhD career, several people helped me and this thesis would never have come together without their guidance and support.  ...  Dear Patrick, it was an honor in my life to be your student, and to take advantages of improving my scientific skills under your supervision.  ...  Figure 2 . 4 24 A parametrized segment of a 2D interface. s is the length along the segment of the interface and β is a parametric variable that increases monotonically along the interface.  ... 
doi:10.1006/jcis.2001.8002 pmid:16290370 fatcat:57urcnvlmzhlzpxwjmvorbu7im

Stripification of Free-Form Surfaces With Global Error Bounds for Developable Approximation

Yong-Jin Liu, Yu-Kun Lai, Shimin Hu
2009 IEEE Transactions on Automation Science and Engineering  
For efficient manufacturing, the parametric surfaces are required to convert into developable patches with controllable global error bounds.  ...  The shape of product was modeled by free-form parametric patches including NURBS in the CATIA system.  ...  If Bezier or Bspline surface is used, a convenient way to construct a surface with geodesic boundary is as follows.  ... 
doi:10.1109/tase.2008.2009926 fatcat:4ds3y2otyjf2npyiotq5gny7sa

A Review of Trimming in Isogeometric Analysis: Challenges, Data Exchange and Simulation Aspects

Benjamin Marussig, Thomas J. R. Hughes
2017 Archives of Computational Methods in Engineering  
We review the treatment of trimmed geometries in the context of design, data exchange, and computational simulation.  ...  Such models are omnipresent in current engineering modeling and play a key role for the integration of design and analysis.  ...  Assuming that a Coons patch is represented as Bézier surface with control points c C i,j , the Jacobian can also be described as a Bézier function of degree 2p with the control pointswith m, n = 0, … ,  ... 
doi:10.1007/s11831-017-9220-9 pmid:30443153 pmcid:PMC6209080 fatcat:a3x3ijmdsvhnphqfaonfzzzhtq

Geometric modeling based on polygonal meshes

Mario Botsch, Mark Pauly, Leif Kobbelt, Pierre Alliez, Bruno Lévy, Stephan Bischoff, Christian Rössl
2007 ACM SIGGRAPH 2007 courses on - SIGGRAPH '07  
His current research interests include shape approximation, mesh generation, surface remeshing and surface reconstruction. Dr.  ...  He has published several papers in the area of geometry compression, mesh approximation, surface remeshing, mesh generation and surface parameterization.  ...  These scalar values are typically visualized using color-coding as shown in Fig. 6 .4 Iso-curvature lines Iso-curvature lines are lines of constant curvature on a surface.  ... 
doi:10.1145/1281500.1281640 dblp:conf/siggraph/BotschPKALBR07 fatcat:khwj3g4lu5eurovnvvt7hzenye

Geometric Modeling Based on Polygonal Meshes [article]

Mario Botsch, Mark Pauly, Leif Kobbelt, Pierre Alliez, Bruno Levy
2008 Eurographics State of the Art Reports  
The course starts with a comparison of different surface representations, motivating the use of polygonal meshes.  ...  We further discuss parametrization and present interactive shape editing, including a brief discussion on efficient numerical solvers.  ...  These scalar values are typically visualized using color-coding as shown in Fig. 6 .4 Iso-curvature lines Iso-curvature lines are lines of constant curvature on a surface.  ... 
doi:10.2312/egt.20081055 fatcat:yypmklz4lvexpox3z6iinvwun4

Geometric modeling based on triangle meshes

Mario Botsch, Mark Pauly, Christian Rossl, Stephan Bischoff, Leif Kobbelt
2006 ACM SIGGRAPH 2006 Courses on - SIGGRAPH '06  
In any case, the surface S is defined to be the zero-level iso-surface of a scalar-valued function F : IR 3 → IR.  ...  In comparison to spline and subdivision surfaces, triangle meshes are not restricted by geometric, topological, or connectivity constraints, and hence can be considered to be the most flexible of these  ...  These scalar values are typically visualized using color-coding as shown in Iso-curvature lines Iso-curvature lines are lines of constant curvature on a surface.  ... 
doi:10.1145/1185657.1185839 dblp:conf/siggraph/BotschPRBK06 fatcat:osmn4jpgcbdf7f6n5zirkunl7q

Efficient high-speed cornering motions based on continuously-variable feedrates. II. Implementation and performance analysis

Kevin M. Nittler, Rida T. Farouki
2016 The International Journal of Advanced Manufacturing Technology  
The method has been tested on a three-axis CNC mill with an openarchitecture controller incorporating real-time interpolators that realize smoothly varying feedrates along the PH corner curves.  ...  high-speed cornering strategy for piecewise-linear motions is proposed, based on the G 2 continuous Pythagorean-hodograph (PH) rounding segments and continuously-variable feedrates described in Part I of  ...  = |r (ξ )| is the parametric speed of curve, t(ξ ) and n(ξ ) are the unit tangent and normal, and κ(ξ ) is the curvature.  ... 
doi:10.1007/s00170-016-8741-y fatcat:7unlpsjp2vhzzcf7ddnm5htdfi

Visualization of Anatomic Tree Structures with Convolution Surfaces [article]

S. Oeltze, B. Preim
2004 EUROVIS 2005: Eurographics / IEEE VGTC Symposium on Visualization  
We discuss the filter design with respect to irritating bulges, unwanted blending and the correct visualization of the vessel diameter.  ...  Our method adheres to these data, while producing smooth transitions at branchings and closed, rounded ends by means of convolution surfaces.  ...  The use of Bezier curves with two control points for representing linear radius distributions is introduced in [JTFP01] .  ... 
doi:10.2312/vissym/vissym04/311-320 fatcat:zufgbvrepvetzmua3mckdvfrqa

Visualization of vasculature with convolution surfaces: method, validation and evaluation

S. Oeltze, B. Preim
2005 IEEE Transactions on Medical Imaging  
We examine the filter design with respect to irritating bulges, unwanted blending and the correct visualization of the vessel diameter.  ...  Our method adheres to these data, while producing smooth transitions at branchings and closed, rounded ends by means of convolution surfaces.  ...  The use of Bezier curves with two control points for representing linear radius distributions is introduced in [15] . Both methods are convenient when interactive radius modification is required.  ... 
doi:10.1109/tmi.2004.843196 pmid:15822811 fatcat:rsa45t2oibhuvkfqeajkgsj4iu
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