Abstract: A computer implemented method and apparatus for reproducing an input curve on a mobile device comprising detecting the input curve, sampling the input curve into a discrete set of vertices, performing a normalized dot product of an edge leading into each one of the discrete set of vertices and a tangent to an edge leading from each one of the discrete set of vertices, setting one or more spline stiffness parameter based on the normalized dot product corresponding to each vertex; and converting the sampled input curve into one or more spline patch with the set spline stiffness parameter corresponding to each vertex.

Abstract: A method and apparatus for interpreting multi-touch events on a computing device comprising creating a reference coordinate system using first two touch points A and B on the device, creating a modified coordinate system using second two touch points C and D on the device, determining a reference origin point (O) for the reference coordinate system where a first angle is formed by the points AOB as a right angle and determining a modified origin point (O?) for the modified coordinate system where a second angle is formed by points CO?D as a right angle; and calculating a transformation matrix T between the reference coordinate system and the modified coordinate system.

Abstract: A computer implemented method and apparatus for reproducing an input curve on a mobile device comprising detecting the input curve, sampling the input curve into a discrete set of vertices, performing a normalized dot product of an edge leading into each one of the discrete set of vertices and a tangent to an edge leading from each one of the discrete set of vertices, setting one or more spline stiffness parameter based on the normalized dot product corresponding to each vertex; and converting the sampled input curve into one or more spline patch with the set spline stiffness parameter corresponding to each vertex.

Abstract: A computer implemented method and apparatus for reproducing an input curve on a mobile device comprising detecting the input curve, sampling the input curve into a discrete set of vertices, performing a normalized dot product of an edge leading into each one of the discrete set of vertices and a tangent to an edge leading from each one of the discrete set of vertices, setting one or more spline stiffness parameter based on the normalized dot product corresponding to each vertex; and converting the sampled input curve into one or more spline patch with the set spline stiffness parameter corresponding to each vertex.