Computer Animation of Artwork Using Fast 2-Dimensional Deformation Solving

Systems and methods disclosed improve the speed of animating artwork by determining the handle affine transformations used to animate 2 Dimensional (2D) artwork in a computationally simpler manner than prior techniques. The improved technique represents vertex coordinates (e.g., x1, y1) in 2D artwor...

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Bibliographic Details
Main Author Wampler Kevin
Format Patent
LanguageEnglish
Published 22.03.2018
Subjects
CALCULATING
COMPUTING
COUNTING
IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
PHYSICS
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Summary:Systems and methods disclosed improve the speed of animating artwork by determining the handle affine transformations used to animate 2 Dimensional (2D) artwork in a computationally simpler manner than prior techniques. The improved technique represents vertex coordinates (e.g., x1, y1) in 2D artwork as the real and complex portions of complex numbers. Doing so allows minimizing a closed form expression to find handle affine transformations that provide a deformation of the object with minimal stretching and squashing in local areas. Determining handle affine transformation parameters in this way is more efficient computationally than prior techniques because it combines the local and global steps into a single formula. Moreover, the formulation can be quickly evaluated with only additions, multiplications, and square roots without any need for conditional branches. Furthermore, the form of the function allows it to be solved with a simple optimization method.
Bibliography:Application Number: US201715826464