Abstract
Three different polygon morphing methods are examined. The first one is based on the utilization of the trimmed skeleton of the symmetric difference of the source and target polygons as an intermediate polygon. The second one reduces the problem to the problem of morphing compatible planar triangulations and utilizes the representation of planar triangulations as a matrix constructed using barycentric coordinates of the planar triangulation′s vertices relative to their neighbors. The third and last one describes the polygon by the parametric curve representation based on estimated Fourier parameters and thus transfers the morphing process to Fourier parametric space. The different features and comparative results of these methods are shown by the tests with different examples. These methods are used for generating a set of polygonal sections from two nonplanar polygonal sections which are nearly planar in 3D before constructing a three‐dimensional object from these nonplanar sections.
Highlights
Morphing or metamorphosis is usually defined as the gradual, smooth, and continuous transformation of a source object into a target object 1, 2
We have presented the different features and comparative results of three different morphing methods which are skeleton-based polygon morphing, polygon morphing using compatible triangulation, and polygon morphing using Fourier parametrization
We developed a generalization of the intermediate sections from two nonplanar polygonal a b sections in 3D which are nearly planar, before constructing a three-dimensional object from these nonplanar polygonal sections to build higher quality 3D models
Summary
Morphing or metamorphosis is usually defined as the gradual, smooth, and continuous transformation of a source object into a target object 1, 2. Alexa et al 1 morphed the interiors of the polygons rather than their boundaries to achieve locally least distorting intermediate polygons They compatibly triangulated the source and target polygons and developed the vertex paths during the morph in an attempt to maintain compatibility and preserve shape. They apply an algorithm to divide the source and target polygons into separate isomorphic triangles. Blanding et al 6 described the skeleton-based polygon morphing and generalized the same procedure directly to three dimensions They used the trimmed skeleton of the symmetric difference of the source and target polygons as intermediate polygons. The last three polygon morphing methods mentioned above are examined, and the last one is used for morphing nonplanar sections which are nearly planar in 3D
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
