Compact & Versatile Geometric Models for 3D Shape Recovery from Medical Images

袖珍的

• 批准号: 9811042
• 负责人: Baba Vemuri
• 金额: $ 24万
• 依托单位: University of Florida
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-09-15 至 2002-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9811042&HistoricalAwards=false
• 关键词: Compact; & Versatile; Geometric; Models

The goal of this research is the investigation of a scheme that allows for the representation of 2D and 3D shapes via compact and versatile geometric models which can model a large class of shapes and are amenable to stable and efficient numerical implementations. The models are to be capable of representing shapes whose topology is not known a priori. Geometric models are traditionally well suited for representing global shapes but not the local details. In this work, a powerful geometric shape meodeling scheme is investigated which allows for the representation of global shapes with local detail and permits model shaping via physics-based control as well as topological changes. These models are a blend of geometric and physics-based models, and are in spirit "similar" to the now popular deformable superquadrics, but differ from them considerably in their expressiveness and numerical stability, thereby promising greater applicability.

这项研究的目的是研究一种方案，该方案允许通过紧凑和多功能的几何模型来表示2D和3D形状，该模型可以对大型形状进行建模，并且可以适应稳定，有效的数值实现。 这些模型应能够代表拓扑尚不清楚的形状。 几何模型传统上非常适合代表全球形状，但不适合当地细节。 在这项工作中，研究了一个强大的几何形状大型旋化方案，该方案允许用局部细节来表示全球形状，并允许通过基于物理的控制以及拓扑变化来形成模型。 这些模型是基于几何和物理模型的混合物，在精神上与现在流行的可变形超Qudrics的精神“相似”，但与它们的表现力和数值稳定性有很大不同，从而有望提高适用性。