Minimal area for surface reconstruction from cross sections

2002 ◽  
Vol 18 (7) ◽  
pp. 437-444 ◽  
Author(s):  
Dmitrii Berzin ◽  
Ichiro Hagiwara
Keyword(s):  
Surface Reconstruction ◽  
Cross Sections ◽  
Minimal Area

scholarly journals Template-based surface reconstruction from cross-sections

2016 ◽  
Vol 58 ◽  
pp. 84-91 ◽  
Author(s):  
Michelle Holloway ◽  
Cindy Grimm ◽  
Tao Ju
Keyword(s):  
Surface Reconstruction ◽  
Cross Sections

Surface Reconstruction From Dexel Data for Virtual Sculpting

2004 ◽  
Author(s):  
Xiaobo Peng ◽  
Weihan Zhang ◽  
Sai-Gowthami Asam ◽  
Ming C. Leu
Keyword(s):  
Surface Reconstruction ◽  
Cross Sections ◽  
Geometric Modeling ◽  
Ray Casting ◽  
Virtual Sculpting ◽  
Shortest Distance ◽  
Branching Problem ◽  
Volume Ray Casting ◽  
Swept Volume ◽  
Differential Equation Method

This paper presents a new method for surface reconstruction from dexel data for virtual sculpting. We are in the midst of developing a dexel model based sculpting system having the capability of interactive solid modeling with haptics interface. The geometric modeling of our sculpting system is based on the Sweep Differential Equation method to compute the boundary of the tool swept volume. Ray casting is used to perform Boolean operations between the tool swept volume and the virtual stock in dexel models to simulate the sculpting process. The dexel data are converted to a series of planar contours in parallel slices (i.e. cross sections). The overlapping ratio between two contour areas is used as the criterion for deciding on the corresponding contours in two adjacent slices. The tiling problem is tackled by using the rule of the shortest distance between points on two corresponding contours. The branching problem is solved by adding one line segment between two contours to form one composite contour. Examples are given to demonstrate the ability of the developed code to convert from dexel data to triangular meshes for the viewing of a sculpted model in different directions.

scholarly journals Topology-constrained surface reconstruction from cross-sections

2015 ◽  
Vol 34 (4) ◽  
pp. 1-10 ◽  
Author(s):  
Ming Zou ◽  
Michelle Holloway ◽  
Nathan Carr ◽  
Tao Ju
Keyword(s):  
Surface Reconstruction ◽  
Cross Sections
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