Simple Derivation of the Hermite Bicubic Patch using Tensor product
Date issued
2025
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Abstract
Bicubic parametric patches are widely used in various geometric applications. These patchesare critical in CAD/CAM systems, which are applied in the automotive industry and mechanical andcivil engineering. Commonly, Hermite, B ́ezier, Coons, or NURBS patches are employed in practice.However, the construction of the Hermite bicubic patch is often not easy to explain formally. Thiscontribution presents a new formal method for constructing the Hermite bicubic plate based on thetensor product approach
Bicubic parametric patches are widely used in various geometric applications. These patchesare critical in CAD/CAM systems, which are applied in the automotive industry and mechanical andcivil engineering. Commonly, Hermite, B ́ezier, Coons, or NURBS patches are employed in practice.However, the construction of the Hermite bicubic patch is often not easy to explain formally. Thiscontribution presents a new formal method for constructing the Hermite bicubic plate based on thetensor product approach
Bicubic parametric patches are widely used in various geometric applications. These patchesare critical in CAD/CAM systems, which are applied in the automotive industry and mechanical andcivil engineering. Commonly, Hermite, B ́ezier, Coons, or NURBS patches are employed in practice.However, the construction of the Hermite bicubic patch is often not easy to explain formally. Thiscontribution presents a new formal method for constructing the Hermite bicubic plate based on thetensor product approach
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Subject(s)
tensor product, Hermite curve, Hermite patch, interpolation, parametric patches, Kronecker product, tenzorový součin, Hermitova křivka, Hermitova ploška, interpolace, parametrické plošky, Kro-neckerův součin