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Algorithm of Shape Morphing Based on Bivariate Non-linear Interpolation

Published: 20 October 2020 Publication History

Abstract

In the field of scientific computing visualization, visual reality, computer animation and so on, shape metamorphosis is a very important research direction. This paper proposes a new nonlinear method of shape metamorphosis based on the bivariate vector valued rational interpolation. With the method, we can realize metamorphosis among series of polygons. First, construct a Newton-Thiele's vector valued interpolation surface for the coordinates of multiple polygons, then interpolation surface is resampled by this function, and finally get the metamorphosis polygons. The experimental results show that this method has better precision of calculation, easiness of programming as well.

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  1. Algorithm of Shape Morphing Based on Bivariate Non-linear Interpolation

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    CSAE '20: Proceedings of the 4th International Conference on Computer Science and Application Engineering
    October 2020
    1038 pages
    ISBN:9781450377720
    DOI:10.1145/3424978
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 20 October 2020

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    Author Tags

    1. Bivariate rational interpolation
    2. Non-linear interpolation
    3. Polygon metamorphosis
    4. Shape morphing

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    CSAE '20 Paper Acceptance Rate 179 of 387 submissions, 46%;
    Overall Acceptance Rate 368 of 770 submissions, 48%

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