Visualizing Squircular Implicit Surfaces
Chamberlain Fong

TL;DR
This paper explores the mathematical equations of squircles and extends these 2D shapes into 3D surfaces, providing a foundation for visualizing intermediate forms between squares and circles.
Contribution
It introduces new equations for squircles and develops methods to generate 3D squircular surfaces from 2D shapes.
Findings
Derived equations for various squircles
Created methods to visualize 3D squircular surfaces
Enhanced understanding of intermediate geometric shapes
Abstract
The squircle is an intermediate shape between the square and the circle. In this paper, we examine and discuss equations for different types of squircles. We then build upon these 2D shapes to come-up with various 3D surfaces based on squircles.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Computer Graphics and Visualization Techniques · 3D Shape Modeling and Analysis
