3D Surface Representation Using Ricci Flow

2011 ◽  
pp. 65-93
Author(s):  
Wei Zeng ◽  
Feng Luo ◽  
Shing-Tung Yau ◽  
David Gu
Keyword(s):  
Ricci Flow ◽  
Surface Representation ◽  
3D Surface

Haptic 3D Surface Representation of Table-Based Data for People With Visual Impairments

2015 ◽  
Vol 6 (1) ◽  
pp. 1-35 ◽  
Author(s):  
Jonas Braier ◽  
Katharina Lattenkamp ◽  
Benjamin Räthel ◽  
Sandra Schering ◽  
Michael Wojatzki ◽  
...  
Keyword(s):  
Visual Impairments ◽  
Surface Representation ◽  
3D Surface

Draping 2D Patterns Onto 3D Surfaces

2003 ◽  
Author(s):  
Ajay Joneja ◽  
Angela Tam ◽  
Fu Jing
Keyword(s):  
Mold Surface ◽  
Polygonal Approximation ◽  
Surface Representation ◽  
B Splines ◽  
3D Surface ◽  
Software Program ◽  
2D Pattern ◽  
Representation Scheme ◽  
3D Surfaces

We describe a simple new CAD operator that allows draping of given 2D patterns onto the surface of a 3D mold. The 2D pattern is any closed, connected polygon or a polygonal approximation of a shape bounded by curves. The mold is typically described in terms of any standard surface representation scheme, such as NURBS or B-Splines. The draping is achieved by mapping skeletal lines on the 2D pattern onto corresponding geodesic curves on the 3D surface. If the mold surface is developable, our method gives a draping with zero distortion. A useful application in the CAD of footwear is demonstrated as a motivation for this work. A simple software program has been implemented to test the operator, and examples are provided to demonstrate its use.

Ricci Flow on Quasi Einstein Manifold

2010 ◽  
Vol 0 (-1) ◽  
pp. 447-454
Author(s):  
A. Bhattacharyya ◽  
T. De
Keyword(s):  
Ricci Flow ◽  
Einstein Manifold
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