A surface modeling method based on the envelope template
L Cao, W Ba, J Liu - Computer aided geometric design, 2011 - Elsevier
In this paper, we present a novel surface modeling scheme based on an envelope template.
A two-parameter family of interpolating surfaces is generated by repeated bicubic
interpolation of the given data points, and then a solution to the envelope condition and the
envelope of the family are constructed. The continuity conditions of two adjacent patches
along the common boundary are derived by analyzing the geometric properties of the
envelope patch. In order to facilitate surface modeling, an envelope template is constructed …
A two-parameter family of interpolating surfaces is generated by repeated bicubic
interpolation of the given data points, and then a solution to the envelope condition and the
envelope of the family are constructed. The continuity conditions of two adjacent patches
along the common boundary are derived by analyzing the geometric properties of the
envelope patch. In order to facilitate surface modeling, an envelope template is constructed …
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