扩展超二次曲面:一种新的光滑变形曲面模型

Extended Superquadric: A New Smoothly Deformable Surface Model

本文提出了构造变形曲面的一种新的特征模型──扩展超二次曲面。扩展超二次曲面在超二次曲面的基础上把超二次曲面的特征指数由常数扩展为经度角和纬度角的函数，因此它可以描述在各个方向具有不同程度变形的物体，从而比超二次曲面具有更强的描述能力，特别是对大量的复杂自然物体和非对称物体的描述。扩展超二次曲面对于合成图像的生成、计算机视觉的建模以及几何模型的重建具有应用前景。

This paper presents a new appoach to the problem of wheting of deformable object shape. Extended superquadrics are volumetric shape madals that include superquadrics as a spotal case. An extended superquadric model can be deformed in any directions because the exponents are no longer constants but functions of the latitude and longitude angles. Thus, extended superquadrics can medel more complex shape than superquadrics, especially a lot of natually occurring and nonsymmetric objects. Extended superquadrics have potential benefits for the generation of synthetic images, object modeling of computer vision and geometric shape rrconstruction.