Self-capacitive touch device and calculation method thereof

A self-capacitive touch device, having an active region with at least an arched edge, comprising:

• a transparent substrate;
• a plurality of sensing electrodes, disposed on the transparent substrate in a most densely stacked arrangement and leaving minimum space without coverage at the arched edge of the active region, each of the sensing electrodes has one side substantially parallel and adjacent to one side of an adjacent sensing electrode of the sensing electrodes, each sensing electrode having a convex polygon shape with more than four sides, wherein at least two sides of each of the sensing electrodes align with sides of at least two of the remaining sensing electrodes;
• and
• a plurality of trace lines, respectively electrically connected to the sensing electrodes, a part of segments of the trace lines being disposed in the active region,
• wherein the trace lines are entirely disposed between the sensing electrodes, and each sensing electrode is coupled to only one trace line,
• wherein each of the internal connecting portions is connected to a vertex of one of the sensing electrodes,
• wherein each of the trace lines is connected to a corresponding contact pad, and the corresponding contact pad of each of the trace lines is located in a contact pad region disposed at a single side of the sensing electrodes,
• wherein the trace lines comprise a plurality of bend points, and number of the bend points of each of the trace lines increases with distance between the each of the trace lines and corresponding contact pad, wherein at least one part of the bend points of the part of segments of the trace lines being disposed in the active region have same bending angle, and the bending angle is 120 degrees.