Track and field board while still maintaining their maximum speed. In addition to the traditional long jump, a standing long jump contest exists which requires that athletes leap from a static position without a run-up. A men's version of this event featured on the Olympic programme from 1900 to 1912. Similar to the long jump, the triple jump takes place on a track heading towards a sandpit. Originally, athletes would hop on the same leg twice before jumping into the pit, but this was changed to the current "hop, step and jump" pattern from 1900 onwards. There is some dispute over whether the
Step detection is the Potts model. It is given by the non-convex optimization problem The term formula_11 penalizes the number of jumps and the term formula_12 measures fidelity to data "x". The parameter γ > 0 controls the tradeoff between regularity and data fidelity. Since the minimizer formula_13 is piecewise constant the steps are given by the non-zero locations of the gradient formula_14. For formula_15 and formula_16 there are fast algorithms which give an exact solution of the Potts problem in formula_17. Step detection In statistics and signal processing, step detection (also known as step smoothing, step filtering, shift detection, jump detection