Bilinear Clifford-Bézier Patches on Isotropic Cyclides
نویسندگان
چکیده
We study Bézier-like formulas with weights in geometric algebra for parametrizing a special class of rational surfaces in isotropic 3-space. These formulas are useful for constructing isotropic-Möbius invariant surfaces that are dual to rational offset surfaces in euclidean 3-space. Our focus is on bilinear CliffordBézier patches. We derive their implicitization formula and characterize them as patches on special quartic surfaces called isotropic cyclides. Finally we present one modeling application with rational surfaces admitting rational offsets.
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