<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title>Discrete Isogonal Nets with Similar Parallelograms | Hui Wang</title> <meta name="author" content="Hui Wang"> <meta name="description" content="Checkerboard pattern, Isogonal net,Isogonal web, Conformal map"> <meta name="keywords" content="jekyll, jekyll-theme, academic-website, portfolio-website"> <link href="https://cdn.jsdelivr.net/npm/
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Isogonal nets (I-nets) stand out for their aesthetically pleasing patterns and engineering practicality. However, constructing such nets remains difficult due to their dependence on complex angle constraints or a narrow focus on orthogonal scenarios. We propose a novel representation and construction method for I-nets charac- terized by similar mid-edge subdivided parallelograms in the quad faces. This approach achieves a simple yet versatile representation that generalizes orthogonal nets and extends to the construction of isogonal 4-webs (I-webs). By focusing on constraining edge ratios, our method enables efficient integration into mesh optimization algorithms. We demonstrate the effectiveness of I-nets and I-webs in freeform shapes through conformal mapping and numerical optimization. Experiments on various surfaces validate our method, showcasing its potential for both theoretical advancements and practical applications.</p> <h5 id="pdf"><i class="fas fa-file-pdf"><strong>PDF</strong></i></h5> <p>to be updated …</p> <iframe src="/assets/pdf/2025DIN_poster.pdf#toolbar=0" width="100%" height="1200" frameborder="0" style="border: none;"> </iframe> <iframe src="/assets/pdf/slides/2025DIN_talk.pdf#toolbar=0" width="100%" height="800" frameborder="0" style="border: none;"> </iframe> </article> </div> </div> <footer class="sticky-bottom mt-5"> <div class="container"> © Copyright 2025 Hui Wang. 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