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|Title:||Lightweight preprocessing and fast query of geodesic distance via proximity graph||Authors:||Xin, Shiqing
Engineering::Computer science and engineering
|Issue Date:||2018||Source:||Xin, S., Wang, W., He, Y., Zhou, Y., Chen, S., Tu, C., & Shu, Z. (2018). Lightweight preprocessing and fast query of geodesic distance via proximity graph. Computer-Aided Design, 102, 128-138. doi:10.1016/j.cad.2018.04.021||Series/Report no.:||Computer-Aided Design||Abstract:||Computing geodesic distance on a mesh surface efficiently and accurately is a central task in numerous computer graphics applications. In order to deal with high-resolution mesh surfaces, a lightweight preprocessing is a proper choice to make a balance between query accuracy and speed. In the preprocessing stage, we build a proximity graph with regard to a set of sample points and keep the exact geodesic distance between any pair of nearby sample points. In the query stage, given two query points and , we augment the proximity graph by adding and on-the-fly, and then use the shortest path between and on the augmented proximity graph to approximate the exact geodesic path between and . We establish an empirical relationship between the number of samples and expected accuracy (measured in relative error), which facilitates fast and accurate query of geodesic distance with a lightweight processing cost. We exhibit the uses of the new approach in two applications—real-time computation of discrete exponential map for texture mapping and interactive design of spline curves on surfaces.||URI:||https://hdl.handle.net/10356/85378
|ISSN:||0010-4485||DOI:||10.1016/j.cad.2018.04.021||Rights:||© 2018 Elsevier Ltd. All rights reserved.||Fulltext Permission:||none||Fulltext Availability:||No Fulltext|
|Appears in Collections:||SCSE Journal Articles|
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