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Bounded Blending for Function-Based Shape Modeling
March/April 2005 (vol. 25 no. 2)
pp. 36-45
ASCII Text
x 
 
Galina I. Pasko, Alexander A. Pasko, Tosiyasu L. Kunii, "Bounded Blending for Function-Based Shape Modeling," IEEE Computer Graphics and Applications, vol. 25, no. 2, pp. 36-45, March/April, 2005.
 
 
BibTex
x
 
@article{ 10.1109/MCG.2005.37,
author = {Galina I. Pasko and Alexander A. Pasko and Tosiyasu L. Kunii},
title = {Bounded Blending for Function-Based Shape Modeling},
journal ={IEEE Computer Graphics and Applications},
volume = {25},
number = {2},
issn = {0272-1716},
year = {2005},
pages = {36-45},
doi = {http://doi.ieeecomputersociety.org/10.1109/MCG.2005.37},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - MGZN
JO - IEEE Computer Graphics and Applications
TI - Bounded Blending for Function-Based Shape Modeling
IS - 2
SN - 0272-1716
SP36
EP45
EPD - 36-45
A1 - Galina I. Pasko,
A1 - Alexander A. Pasko,
A1 - Tosiyasu L. Kunii,
PY - 2005
KW - Geometric modeling
KW - shape
KW - blending
KW - implicit surfaces
KW - R-functions
VL - 25
JA - IEEE Computer Graphics and Applications
ER -
 
Galina I. Pasko, Kanazawa Institute of Technology
Alexander A. Pasko, Hosei University
Tosiyasu L. Kunii, Kanazawa Institute of Technology
We propose new analytical formulations of bounded blending operations for the function-based constructive shape modeling. The blending set operations are defined using R-functions and displacement functions with the localized area of influence. The shape and location of the blend is defined by control points on the surfaces of two solids or by an additional arbitrary bounding solid also defined by a real-valued function. The proposed blending using a bounding solid can be applied to a single selected edge, a vertex, or another blend. We introduce new types of blends such as a multiple blend with the disconnected bounding solid and a partial edge blend. We show that the proposed operations can replace pure set-theoretic operations in the solid model without rebuilding the entire construction tree data structure. The proposed blending is shown to have versatile applications in interactive design. Influence of all parameters on the blend shape and location is illustrated.

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Index Terms:
Geometric modeling, shape, blending, implicit surfaces, R-functions
Citation:
Galina I. Pasko, Alexander A. Pasko, Tosiyasu L. Kunii, "Bounded Blending for Function-Based Shape Modeling," IEEE Computer Graphics and Applications, vol. 25, no. 2, pp. 36-45, March-April 2005, doi:10.1109/MCG.2005.37
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