Generalized Cylinders Revisited

该研究引入了一种新的二维和三维形状的轴向表示，实现了Binford对一般物体的带状和广义圆柱体的原始概念。与当前基于广义柱面的表示方案不同，该表示方案使用更严格的参数模型，如直齐次广义柱面，因此仅限于这些模型的实例，这种表示可以通过计算由物体与参数化平面的相交面积定义的多维高度场的一维谷来构建任意物体。本研究的主要目标是：(1)给出一个数据驱动的、可操作的条带和广义圆柱体定义，该定义产生了用于从二维或三维数据构建任意形状描述的实用算法；(2)建立表征的形式属性，目的是评估其范围并开发用于检测图像中广义圆柱体投影的严格算法；(3)开发了一种有原则的零件分解方法，并使用构造的部分-整体层次结构来支持目标识别任务中的高效索引。

The research introduces a novel axial representation of two- and three-dimensional shapes that implements Binford's original notion of ribbons and generalized cylinders for generic objects. Unlike current representation schemes based on generalized cylinders, which use much more restrictive parametric models such as straight homogeneous generalized cylinders, and are thus limited to instances of these models, this representation can be constructed for arbitrary objects by computing the one- dimensional valleys of a multi-dimensional height field defined by the area of intersection of the object and a parameterized plane. The main objectives of this research are: (1) to give a data-driven, operational definition of ribbons and generalized cylinders that yields practical algorithms for constructing the description of an arbitrary shape from two- or three-dimensional data; (2) to establish the formal properties of the representation with the aims of assessing its scope and developing rigorous algorithms for detecting generalized cylinder projections in images; and (3) to develop a principled approach to part decomposition and use the constructed part-whole hierarchies to support efficient indexing in object recognition tasks.