Supportedness and tameness differentialless geometry of plane curves

摘要: Abstract We introduce a class of planar arcs and curves, called tame arcs, which is general enough to describe (parts of) the boundaries real objects. A arc can have smooth parts as well sharp (non-differentiable) corners; thus polygonal tame. On other hand, this restrictive rule out pathological infinitely many inflections or turn often: only finitely inflections, its total absolute must be finite. In order relate boundary properties discrete objects obtained by segmenting digital images corresponding their continuous originals, theory based on concepts that directly transferred from domain. composed finite number supported arcs. define motivate definition fact they digitizing Every tame, since it contains points, therefore decomposed into