Perfect Laplacians for Polygon Meshes. (10th August 2015)

• Record Type: Journal Article
• Authors: Herholz, Philipp; Kyprianidis, Jan Eric; Alexa, Marc
• Is Part Of: Computer graphics forum. Volume 34:Number 5(2015)
• Page Start: 211
• Page End: 218
• Publication Date: 2015-08-10
• Subjects: Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.12709
• Languages: English
• ISSNs: 0167-7055

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>A discrete Laplace‐Beltrami operator is called perfect if it possesses all the important properties of its smooth counterpart. It is known which triangle meshes admit perfect Laplace operators and how to fix any other mesh by changing the combinatorics. We extend the characterization of meshes that admit perfect Laplacians to general polygon meshes. More importantly, we provide an algorithm that computes a perfect Laplace operator for any polygon mesh without changing the combinatorics, although, possibly changing the embedding. We evaluate this algorithm and demonstrate it at applications.</p> </abstract>