Subdivision algorithm and connection of H-Bézier surfaces
Jieqing Tan
Abstract
Jieqing Tan
Abstract
First of all,on the basis of study of the properties of H-Bezier curves,the H-Bezier surfaces are defined.The arbitrary subdivision algorithm along both u and v direction is presented,and the properties of subdivided surfaces are analyzed. G 1 condition for H-Bezier surfaces in different directions is obtained,and simplified by choosing the control parameters properly.
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First of all,on the basis of study of the properties of H-Bezier curves,the H-Bezier surfaces are defined.The arbitrary subdivision algorithm along both u and v direction is presented,and the properties of subdivided surfaces are analyzed. G 1 condition for H-Bezier surfaces in different directions is obtained,and simplified by choosing the control parameters properly.
Key concepts: Bézier curve, Subdivision, Connection (principal bundle), Mathematics, Basis (linear algebra), Subdivision surface, Algorithm, Bézier surface