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- W206872009 abstract "Publisher Summary This chapter examines the metamorphosis of freeform curves and surfaces. Continuous shape deformation or metamorphosis has captured its place as a major tool in animation. The problem has been investigated in the context of two-dimensional images. Eliminating the self-intersection in intermediate steps is a necessary requirement in creating a pleasing metamorphosis. Unfortunately, it is a difficult problem that partial solutions are known only for metamorphosis between piecewise-linear polylines. Two attempts at the creation of self-intersection-free metamorphosis of freeform B-spline curves are discussed. Multiresolution decomposition methods of freeform curves and surfaces are investigated in the context of curve manipulation. It is found that multiresolution decomposition methods were suggested as tools for morphing of piecewise linear polylines. In the light of the inability to exactly predict self-intersection, it is found that using 2T(w) one can significantly alleviate the need to edge-cut metamorphose through a line, creating a more pleasing metamorphosis, while preventing self-intersection in the majority of cases." @default.
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- W206872009 date "1995-01-01" @default.
- W206872009 modified "2023-09-27" @default.
- W206872009 title "Metamorphosis of Freeform Curves and Surfaces" @default.
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- W206872009 doi "https://doi.org/10.1016/b978-0-12-227741-2.50007-4" @default.
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