| Title: | Range restricted interpolation using cubic Bézier triangles |
| Authors: | Kong, V. P. Ong, B. H. Saw, K. H. |
| Citation: | WSCG '2004: Short Communications: the 12-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2004, 2.-6. February 2004 Plzeň, p. 125-132. |
| Issue Date: | 2004 |
| Publisher: | Václav Skala - UNION Agency |
| Document type: | konferenční příspěvek conferenceObject |
| URI: | http://wscg.zcu.cz/wscg2004/Papers_2004_Short/J29.pdf http://hdl.handle.net/11025/6237 |
| ISBN: | 80-903100-5-2 |
| Keywords: | plochy;geometrický design;kubické Bézierovy trojúhelníky |
| Keywords in different language: | surfaces;geometric design;cubic Bézier triangles |
| Abstract: | A range restricted C1 interpolation local scheme to scattered data is derived. Each macro triangle of the triangulated domain is split into three mini triangles and the interpolating surface on each mini triangle is a cubic Bézier triangle. Sufficient conditions derived for the non-negativity of these cubic Bézier triangles are expressed as lower bounds to the Bézier ordinates. The non-negativity preserving interpolation scheme extends to the construction of a range restricted interpolating surface with lower or upper constraints which are polynomial surfaces of degree up to three. The scheme is illustrated with graphical examples. |
| Rights: | © Václav Skala - UNION Agency |
| Appears in Collections: | WSCG '2004: Short Communications |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/6237Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.