The medial axis transform (MAT) of a set S is defined as the set of centers and radii of maximal disks that are contained in S. If S is a region of a binary image, the disks are defined as upright maximal squares of black pixels and the region S is the union of these maximal squares. In this paper, we present an O(1) time algorithm for computing the medial axis transform of an N N binary image ...

Details of algorithms to construct the Voronoi diagrams and medial axes of planars domain bounded by free-form (polynomial or rational) curve segments are presented, based on theoretical foundations given in the rst installment Ramamurthy and Farouki, J. Comput. Appl. Math. (1999) 102 119–141 of this two-part paper. In particular, we focus on key topological and computational issues that arise ...

Previous studies in pigeons have shown that the neurons in the medial column of the inferior olive respond best to patterns of optic flow resulting from self-rotation. With respect to the axis of rotation, there are two functional groups: rVA neurons prefer rotation about the vertical axis, whereas rH45 neurons respond best to rotation about an horizontal axis oriented at 45 degrees ipsilateral...

often reduces similar shapes to the same set of pixels, it should be no surprise that skeletonization algorithms suffer In this paper we examine various aspects of the medial axis representation of shapes, resulting in a novel, highly accurate from many implementation problems. Those problems folskeletonization algorithm suitable for shapes with parametrilow mainly from various implicit assumpt...

The medial axis transform provides an alternative r epresentation of geometric models that has many use ful properties for analysis modelling. Applications include decomposition of ge neral solids into sub regions for mapped meshing, i dentification of slender regions for dimensional reduction and recognition o f small features for suppression. In order to serve these purposes effectively, it i...

OBJECTIVE To investigate the relationships among bone mineral density (BMD), static alignment and the adduction moment of the knee in patients with tibiofemoral osteoarthritis (OA). METHODS Sixty-nine patients with medial compartment knee OA underwent radiographic evaluation, gait analysis and BMD measurements at the proximal tibia and lumbar spine. RESULTS The bone mineral distribution of ...

Volume approximation is an important problem found in many applications of computer graphics, vision, and image processing. The problem is about computing an accurate and compact approximate representation of 3D volumes using some simple primitives. In this study, we propose a new volume representation, called medial meshes, and present an efficient method for its computation. Specifically, we ...

PURPOSE This study aimed to calculate the flexion-extension axis (FEA) of the knee through in-vivo knee kinematics data, and then compare it with two major anatomical axes of the femoral condyles: the transepicondylar axis (TEA) defined by connecting the medial sulcus and lateral prominence, and the cylinder axis (CA) defined by connecting the centers of posterior condyles. METHODS The knee k...

Statistical shape analysis has emerged as an insightful method for evaluating brain structures in neuroimaging studies, however most shape frameworks are surface based and thus directly depend on the quality of surface alignment. In contrast, medial descriptions employ thickness information as alignment-independent shape metric. We propose a joint framework that computes local medial thickness ...