Segmentation and Recovery of Superquadrics by Ales Jaklic;Ales Leonardis;F. Solina

By Ales Jaklic;Ales Leonardis;F. Solina

A illustration of gadgets through their elements is the dominant approach for representing advanced 3D items in lots of disciplines. In laptop imaginative and prescient and robotics, superquadrics are one of the so much frequent half types. Superquadrics are a kin of parametric types that conceal a large choice of easily altering 3D symmetric shapes, that are managed with a small variety of parameters and that are augmented with the addition of world and native deformations. The e-book covers, intensive, the geometric homes of superquadrics. the most contribution of the booklet is an unique method of the restoration and segmentation of superquadrics from variety photos. numerous purposes of superquadrics in laptop imaginative and prescient and robotics are completely mentioned and, particularly, using superquadrics for diversity photograph registration is verified.
Audience: The e-book is meant for readers of all degrees who're acquainted with and drawn to desktop imaginative and prescient issues.

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A11, K x , K y, k, a). 26) LOCAL DEFORMATIONS Addition of global deformations on the basic superquadric is sufficient only for capturing the global shape. Any local details are smoothed out by the global model (Fig. 7). While a certain coarseness of models is desirable for segmentation or for object classification which employs part-level models, most object recognition problems require a much finer representation of surface details, besides other features, such as texture and color. 7. Superquadric model of a tennis shoe.

Clearly, a model that ean deeouple global parameters of motion (translation and rotation) and global parameters of shape (tapering, bending, twisting) from loeal or nonrigid deformations is better suited for vision applieations.

A tapered superquadric obtained by our tapering deformation is shown in Fig. 1. 1. A tapered superquadric model with different tapering functions along the x and y axes. 7) Y z Z, where x, y, Z are the components of the original surface vector x and X, Y, Z are the components of the surface vector X of the deformed superquadric. fx and fy are the tapering functions in the xs and Ys axis direction of the object-centered coordinate system (Fig. 2). 2. Tapering deformation in the x axis direction linearly offsets points as a function of z.

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Segmentation and Recovery of Superquadrics by Ales Jaklic;Ales Leonardis;F. Solina
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