Curvature Continuity Conditions Between Adjacent Toric Surface Patches
Abstract
Toric surface patch is the multi-sided generalization of classical Bézier surface patch. Geometric continuity of the parametric surface patches plays a crucial role in geometric modeling. In this paper, the necessary and sufficient conditions of curvature continuity between toric surface patches are illustrated with the theory of toric degeneration. Furthermore, some practical sufficient conditions of curvature continuity of toric surface patches are also developed.
BibTeX
@article {10.1111:cgf.13583,
journal = {Computer Graphics Forum},
title = {{Curvature Continuity Conditions Between Adjacent Toric Surface Patches}},
author = {Sun, Lanyin and Zhu, Chungang},
year = {2018},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.13583}
}
journal = {Computer Graphics Forum},
title = {{Curvature Continuity Conditions Between Adjacent Toric Surface Patches}},
author = {Sun, Lanyin and Zhu, Chungang},
year = {2018},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.13583}
}