Exploring the implementation of gradients in vector graphics images through colour diffusion graphs
Date
2023-09-19
Authors
Goodwin, Linnea
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Abstract
Given that vector graphics aims to create infinitely scalable images, a problem arises when attempting to create a smooth gradient from one colour to another. The dominant method used to tackle this problem is essentially to simulate the diffusion of colour onto a triangulated mesh; the process would be similar to letting a drop of ink hit a wet napkin and spread out. The equation that governs diffusion is the Poisson equation, which allows for a function modifier to the spread of a material; i.e. a variable coefficient of diffusion across a surface. Previous research into the diffusion of colour to create vectorized gradients ignores this coefficient for a constant spread of colour. In this study, we recreate the spread of colour to form vectorized meshes with smooth gradients using PolyFEM and allow for the inclusion of a position-variable coefficient of spread. This research could advance the world of vector image generation and have potentially publishable applications.
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vector, graphics, diffusion, poisson, Valerie Kuehne Undergraduate Research Awards (VKURA)