Approximating Meshes using Cone Spline Developable Surfaces

• Main Authors: Yu-Shuo Liu, 劉育碩
• Other Authors: Jung-Hong Chuang
• Format: Others
• Language: en_US
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/59739523205164930598

碩士 === 國立交通大學 === 多媒體工程研究所 === 96 === Developable surfaces have various applications like clothes or paper craft models design. They have many advantages like simple to construct and no distortion. Designing developable surfaces is not trivial though, so various developable surfaces approximation methods have been proposed. Previous developable surfaces approximation methods either only approximate near developable surfaces [3, 6, 8] or only use restrictive surfaces [5, 7, 9] as approximation surfaces. We propose a more general method that use cone spline surfaces as approximation surfaces. Our method is a iterative approach, in each iteration, our algorithm executes region growing and approximation surface optimization. Unlike previous approaches that use a single conic as proxy surface in the optimization phase, our method use multiple segments of conic to further reduce the error and guarantee C0 continuity between the conics in the same cone spline surface. As a result, our algorithm is more accurate and usually generates fewer patches than previous methods.