6533b835fe1ef96bd129f481
RESEARCH PRODUCT
Generating harmonic surfaces for interactive design
Ana ArnalJuan Monterdesubject
Interactive designScalar (mathematics)Mathematical analysisBézier curveComputational MathematicsTensor productComputational Theory and MathematicsExplicit solutionModeling and SimulationLinear combinationTensor product Bézier surfaceHarmonic surfaceGenerating functionMathematicsdescription
Abstract A method is given for generating harmonic tensor product Bezier surfaces and the explicit expression of each point in the control net is provided as a linear combination of prescribed boundary control points. The matrix of scalar coefficients of these combinations works like a mould for harmonic surfaces. Thus, real-time manipulation of the resulting surfaces subject to modification of prescribed information is possible.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-06-01 | Computers & Mathematics with Applications |