599 research outputs found
Computing a Compact Spline Representation of the Medial Axis Transform of a 2D Shape
We present a full pipeline for computing the medial axis transform of an
arbitrary 2D shape. The instability of the medial axis transform is overcome by
a pruning algorithm guided by a user-defined Hausdorff distance threshold. The
stable medial axis transform is then approximated by spline curves in 3D to
produce a smooth and compact representation. These spline curves are computed
by minimizing the approximation error between the input shape and the shape
represented by the medial axis transform. Our results on various 2D shapes
suggest that our method is practical and effective, and yields faithful and
compact representations of medial axis transforms of 2D shapes.Comment: GMP14 (Geometric Modeling and Processing
Participation in the classroom as a basis for democracy education? A conceptual analysis of the concept of student participation
In our conceptual analysis, we focus on the concept of student participation and argue for a differentiated consideration of the same. To this end, we elaborate on constituent elements and first address the definitional understanding of the concept considered as well as the participation postulate. Furthermore, we name and discuss possible purposes and qualities of participatory practice and we give an overview of the established conceptualization of participation by means of a stage model and the interdependence of autonomy and heteronomy expressed in this model. We then address participatory fields in the classroom, concrete practices of participatory decision-making, prerequisites and implications of participatory classroom practices, and possible scopes of participatory influence
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